1. The proximodistal pattern of development in the development of motor skills in infants involves the development of control and coordination of the head, neck, and trunk before control and coordination of the limbs. For example, an infant may first learn to lift their head and control its movements before learning to reach for and grasp objects with their hands.
2. The proximodistal pattern of development can also be seen in the development of language skills in children. Children typically learn to produce single words before they learn to put words together in simple phrases and sentences.
3. In the development of cognitive skills, the proximodistal pattern involves the development of more basic skills, such as perception and attention, before more complex skills, such as memory and problem-solving. For example, a child may first learn to identify basic shapes and colors before learning to solve more complex puzzles and games.
4. The proximodistal pattern of development can also be observed in the development of social and emotional skills in children. Children may first learn to express basic emotions, such as happiness and anger, before learning to recognize and understand the emotions of others.
5. In the development of sensory and perceptual abilities, the proximodistal pattern involves the development of more basic abilities, such as visual acuity and auditory sensitivity, before more complex abilities, such as spatial awareness and depth perception. For example, a child may first learn to focus their eyes on objects close to them before being able to see objects in the distance.
If the springy part of the fern were attached to one seed and the stem, then when the --------- energy of a springy part is converted to ------- energy, some of the ----------energy would be on the stem.
In fact, if the stem has very little mass, then it would move a greater distance than the seed and according to -------------, more work would be done on the -------------
than on the ------------------.
If there are two seeds, then each will leave with the same ---------------- energy and no energy is wasted on unwanted motion of the stem.
"If the springy part of the fern were attached to one seed and the stem, then when the elastic potential energy of a springy part is converted to kinetic energy, some of the kinetic energy would be on the stem. In fact, if the stem has very little mass, then it would move a greater distance than the seed and according to W = f delta x, more work would be done on the stem than the seed. If there are two seeds, then each will leave with the same kinetic energy and no energy is wasted on unwanted motion of the stem."
Kinetic energy is possessed by the bodies which are in movement.
Elastic potential energy is the kind of energy stored as a result of applying force to deform an elastic object.
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Teresa wants to explore the relationship between kinetic energy and potential energy. How could she use innovative problem-solving?
A. Follow the instructions of her science teacher for performing an experiment about kinetic and potential energy.
B. Search the internet for ways to show the relationship between kinetic and potential energy.
C. Find an example of kinetic and potential energy in her own life and create an experiment to illustrate their relationship.
D. Study the relationship between kinetic and potential energy in her science textbook.
The way Teresa could use innovative problem-solving is C. Find an example of kinetic and potential energy in her own life and create an experiment to illustrate their relationship.
What is Kinetic Energy?The energy that an object has as a result of motion is known as kinetic energy.
It is described as the effort required to move a mass-determined body from rest to the indicated velocity.
The body keeps the kinetic energy it acquired throughout its acceleration unless its speed changes.
Hence, in order to find the relationship between kinetic energy and potential energy, option C is the best answer.
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Answer:
Can of gasoline
Energy can be changed from one form to another
soccer ball flying through goalposts
Find an example of kinetic and potential energy in her own life and create an experiment to illustrate their relationship.
roller-coaster car slowing as it moves up a hill
Explanation:
The force F exerted on a ball during a collision with a wall is given as a function of time t by the equation F(t) = αt - βt 2 , where α = 400 N/s and β = 4000 N/s 2 . The ball first contacts the wall at t = 0, and the collision lasts for 0.10 s. What is the magnitude of the change in momentum of the ball?
a. 0
b. 0.67 kg m/s
c. 3.33 kg m/s
d. 3.60 kg m/s
e. The change in momentum of the ball cannot be determined without knowing the mass of the ball
The magnitude of the change in the momentum of the ball during the collision is 0 kgm/s. Correct option (a)
The given parameters:
Applied force, F(t) = αt - βt²
α = 400 N/s
β = 4000 N/s²
Duration of the collision, t = 0.1 s
The magnitude of the change in the momentum of the ball during the collision is calculated as follows;
change in momentum = impulse
ΔP = Ft
ΔP = (αt - βt²)t
ΔP = αt² - βt³
ΔP = 400t² - 4000t³
∆P=400*(0.1)^2 -4000*(0.1)^3 = 4-4 =0.
∆P= 0. kg m/s
Thus, the magnitude of the change in the momentum of the ball during the collision is 0 kgm/s.
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You are lowering two boxes, one on top of the other,
down a ramp by pulling on a rope parallel to the surface of the
ramp (Fig. E5.33). Both boxes move together at a constant speed
of 15.0 cm>s. The coefficient of kinetic friction between the ramp
and the lower box is 0.444, and the coefficient of static friction
between the two boxes is 0.800. (a) What force do you need to
exert to accomplish this? (b) What are the magnitude and direction of the friction force on the upper box?
To solve this problem, we need to use Newton's second law to find the net force acting on the two boxes. The net force is equal to the mass of the two boxes times the acceleration. Since the boxes are moving at a constant speed, the acceleration is zero, and the net force is also zero. This means that the sum of all the forces acting on the two boxes must be zero.The force you exert on the boxes is the force of tension in the rope, and this force is equal in magnitude and opposite in direction to the force of friction on the lower box. The magnitude of the friction force on the lower box is equal to the coefficient of kinetic friction times the normal force acting on the lower box.The normal force is the force exerted by the ramp on the lower box, and it is equal in magnitude to the weight of the lower box. The weight of the lower box is equal to the mass of the lower box times the acceleration due to gravity.The magnitude of the friction force on the upper box is equal to the coefficient of static friction times the normal force acting on the upper box. The normal force acting on the upper box is equal in magnitude to the weight of the upper box.Now that we have all the forces, we can use Newton's second law to solve for the force you need to exert. The equation is:F_tension - F_friction_lower = 0
F_tension = F_friction_lowerF_friction_lower = u_k * N_lower
F_tension = u_k * m_lower * gWhere:F_tension is the force you need to exertF_friction_lower is the force of friction on the lower boxu_k is the coefficient of kinetic friction between the ramp and the lower boxN_lower is the normal force acting on the lower boxm_lower is the mass of the lower boxg is the acceleration due to gravitySubstituting the given values, we get:F_tension = (0.444) * (m_lower) * (9.8 m/s^2)The force you need to exert is therefore:F_tension = (0.444) * (m_lower) * (9.8 m/s^2)The magnitude of the friction force on the upper box is:F_friction_upper = u_s * N_upperWhere:F_friction_upper is the force of friction on the upper boxu_s is the coefficient of static friction between the two boxesN_upper is the normal force acting on the upper boxSubstituting the given values, we get:F_friction_upper = (0.800) * (m_upper) * (9.8 m/s^2)The direction of the friction force on the upper box is opposite to the direction of motion of the upper box.
Suppose an aircraft is flying in the vicinity of 18,000 feet altitude along a path from the eastern US toward the central US. A 500 mb map valid during the time of the flight indicates a large trough over the eastern US and a large ridge over the central US. If no corrections are made to the altimeter setting, the aircraft will_____ altitude during the flight. - lose - gain - maintain constant
The aircraft will gain altitude during the flight if no adjustments are made to the altimeter setting.
What impact does altimeter setting have on altitude?When flying from a region of high pressure into one of low pressure, if the altimeter is not set to the current altimeter setting, the aircraft will be closer to the surface than the altimeter suggests.
Why is it vital to adjust the altimeter correctly?Aircraft pressure altimeters show the aircraft's height above a specified datum. The barometric pressure that is specified on the altimeter sub-scale determines the datum that is chosen. In order to provide a safe separation from the ground and from other aircraft, sound altimeter setup procedures are a crucial instrument.
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When analyzing work and energy problems, it is important to define the system and the environment in such a way as to make the problems easier to solve. The following are characteristics of a system. A. Forces internal to the system can change its total mechanical energy. B. A system can be one object or a collection of objects. C. The system is external to the system boundary. D. Objects cannot pass through the system boundary.
The importance of defining systems and environments in such a way that problems are easily solved. The following characteristic of a system is B. A system can be one object or a collection of objects.
What is the system?A system is a unit consisting of components or elements that are linked together to facilitate the flow of information, material, or energy to achieve a goal. A system can also be a single object or a collection of objects.
System features are:
The existence of interdependence means that the components are interrelated, interact, and have interdependence as a whole. The output thereof is appropriate and consistent with the planned objectives.Learn more about the systems theory in individual behavior in the environment here :
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Why would a metal exist in a free state?
A. If it has enough mass to exist on its own
B. If it has valence electrons that make it highly reactive
C. If it doesn't easily combine with other elements
D. If it's a metal that's consistently used to make alloys
Using sound as your example, explain how these concepts differ: absolute threshold, subliminal stimulation, and difference threshold.
These aforementioned concepts differ in that:
Absolute threshold is the minimum level of stimulation an individual is able to sense. This is the lowest threshold at which an individual can detect a stimulus. Subliminal stimulation is a type of stimulus that is below the individual's absolute threshold. The difference threshold, also known as the just noticeable difference, is the minimum amount of difference between two stimuli for an individual to detect it.Absolute threshold, for sound, this would mean the lowest volume at which a person can detect a sound. Subliminal stimulation, This means that the stimulus is too weak for the individual to consciously detect, but can still influence their behavior in some way. The difference threshold, for sound, this would mean the smallest change in the volume of a sound that the individual can detect.Learn more about stimulation thresholds:
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Class
CSI: Physics K (Acceleration and Free fall)
Freefall Scenario #1: Party Apartments
As a crime scene investigator, a case comes to your desk. A
man fell to his death on top of a car last night while attending
a party at an apartment complex. After interviewing a few
residents, you learn that the party was poppin' across the
entire top half of the building. Also, nobody claims to have
seen the man fall. You need to figure out which floor he fell
from...with SCIENCE.
Investigation:
-Lab analysis of the damaged car windshield estimates that he
was falling as a velocity of 19 m/s at the time of impact.
a) For how long was the man falling for? t ==
b) How high up was the man when he began to fall? h =
c) What floor did he fall from? -
Floor
set
36m-40m
32m-36m
28m-32m
24m-28m
20m-24m
16m-20m
V₁= 19 m/s
ELTELIEL EL
VERTEL
Sa
10th
9th
8th
7th
6th
5th
Answer:
The man was falling for about 20 seconds from the 28th floor to the 20th floor.
Explanation:
. He was falling at a velocity of 19 m/s at the time of impact.
4.
a) A loaded box car has a total mass of 6.80 x 10 kg. If the train is travelling at a speed
of 23.7 m/s, what is the mechanical kinetic energy of the box car?
b) If a family car has a mass of 1237 kg, how fast would it have to go to have the same
mechanical kinetic energy as the box car in part a)?
GIVING BRAINLIEST
Mechanical kinetic energy is the energy of an object due to its motion.
a) Mechanical kinetic energy = (1/2)*mass*(velocity)^2
Mechanical kinetic energy = (1/2)*(6.80 x 10^3 kg)*(23.7 m/s)^2
Mechanical kinetic energy = 3.27 x 10^7 J
b) The mechanical kinetic energy of a moving object can be calculated using the following formula:
KE = 0.5 * m * v²,
where m is the mass of the object and v is the velocity.
In this case, we know the mass of the family car (1237 kg) and the mechanical kinetic energy of the box car (50444 J). To calculate the speed of the family car, we can rearrange the formula to solve for v:
v = √(2*KE/m)
v = √(2*50444/1237)
v = 42.62 m/s
What is Mechanical kinetic energy?
Mechanical kinetic energy is the energy associated with the movement of a body or object. It is also known as the energy of motion and is equal to one half of the mass of the object multiplied by the square of its velocity.
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An empty plane whose mass is 30, 400Kg has a maximum takeoff acceleration of 1.20m/s2 . What is its maximum acceleration when it is carrying a load of 8200Kg? Ignore friction.
Answer:0.95 m/s2
Explanation: The thrust of the engines, calculated for weight
F=ma=30400·1.2=36480\text{ N}.F=ma=30400⋅1.2=36480 N.
The acceleration with the load is
aL=\frac F{m+M}=\frac{36480}{30400+8200}=0.95\text{ m/s}^2.aL=m+MF=30400+820036480=0.95 m/s2
If the object starts moving from point A and continues along a straight path from point A to point D, which of the following is true? A. In the interval from point A to point B, the object travels 30 m
B In the interval from point B to point C, the object travels 30 m
C In the interval from point C to point D, the object travels 0 m
D In the interval from point A to point D, the object travels 11 m
Based on the provided information, in the interval from point A to point B, the object travels 30 m (Option A)
In the given graph, displacement is graphed versus time. Displacement is the change in the object’s position from its initial place to its final position. Moreover, it’s a vector quantity and due to this, it has both a direction and a magnitude. The complete length of the path between any two points is called distance while displacement is the direct length between any two points when measured along the minimum path between them. When displaying a journey, the vertical axis will often represent the distance from a particular place. Such graphs are known as displacement-time graphs. Hence, based on the given graph the statement true is that in the interval from point A to point B, the object travels 30 m.
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Vector A has a magnitude of 3 meters/seconds and points in the positive direction vector B has a magnitude of 10 meters/seconds and points in the negative direction. What is the resultant
A vector's length is measured by its magnitude, and its direction indicates its direction of travel.
What is the magnitude and direction?The magnitude of a vector denotes its length, and the direction indicates its direction. There are several ways to express vector direction, but degrees are the most used. Examples of vectors are acceleration and velocity.
Given a location vector v=a,b, the magnitude is calculated using the formula |v|=a2+b2. Depending on the application, the direction is equal to the angle made with either the x- or y-axis.
The angle a vector makes with a horizontal line determines its direction. Tan is equal to y2 y1x2 x1, where x1,y1 and x2,y2 are the starting and ending points, respectively.
Subtract the coordinates of the starting position from the coordinates of the destination point to determine the directional vector.
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A kid was drinking a soda. He took a sip, felt something in his mouth, and was stung by a bee on the inside of his cheek. It was very painful! For years afterward, he felt very anxious anytime he went to drink soda. Unconditioned Stimulus, Unconditioned Response, Conditioned Stimulus and Conditioned Response.
Answer:
I think its conditioned response
At one instant, a falling object has 40 J of potential energy, and 20 J of kinetic energy. Later, it has only 25.5 J of potential energy. If mechanical energy has remained constant, how much kinetic energy does it have? ⠀⠀
Answer:
34.5 J
Explanation:
ME = PE + KE
Total Mechanical Energy is always conserved, so ME remains same as the object falls. As PE decreases, KE increases.
Instant 1: ME = 40 J + 20 J = 60 J
Instant 2: ME = 60 J = 25.5 J + KE
KE = 60 J - 25.5 J = 34.5 J
Matter is anything that has mass and takes up space. Which units of measurement can you use to describe these two properties?
Mass can be measured in kilograms (kg) or grams (g). Volume can be measured in cubic meters (m3) or liters (L).
What units of measurement are used to describe mass and volume?Mass is typically measured in metric units such as kilograms (kg) or grams (g). Volume is usually measured in liters (L) or milliliters (mL). In the United States, mass is also often measured in pounds (lb) and ounces (oz) while volume is measured in gallons (gal) or quarts (qt).The metric system is the most commonly used system of measurement worldwide, and it is based on the International System of Units (SI). It is a decimal system, with each unit divided into 10 parts.The kilogram is the base unit of mass in the metric system and it is used to measure the mass of larger objects. One kilogram is equivalent to 1000 grams. The gram is used to measure the mass of smaller objects such as food products, coins, and jewelry.The liter is the base unit of volume in the metric system and it is used to measure the volume of liquids. One liter is equivalent to 1000 milliliters. The milliliter is used to measure the volume of smaller quantities such as medication doses and small amounts of liquid.To learn more about measurement refer to:
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Please don't round any possible answers
The constant angular acceleration of the potter's wheel is 0.00227 rad/s².
What is angular acceleration?The temporal rate at which angular velocity changes is known as angular acceleration. The standard unit of measurement is radians per second per second.
Rotational acceleration is another name for angular acceleration. It is a numerical representation of the variation in angular velocity over time.
Initial angular speed = 0 rad/s
Final angular speed = 0.10 rev/s = 2π×0.10 rad/s
time interval = 27.7 seconds
Hence, the constant angular acceleration is = (2π×0.10 - 0)/27.7 rad/s²
= 0.00227 rad/s².
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Does changing the amount of a substance change its mass volume or density
Changing the amount of the substance will lead to changes in the mass and the volume of that substance and therefore, the density of the substance.
What is Density?Mass can be defined as the measurement of the amount of matter in an object or any substance. The volume of a substance is the three-dimensional space which is enclosed by the closed surface or boundary.
Density is the measurement of mass of an object per unit volume of that object. The relation between the density and volume of an object is directly proportional. That means, any change in the volume of the substance will eventually result in the change in the density of an object and vise-versa.
Density (ρ) = mass (m)/ volume (v)
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PART 1On the way to the moon, the Apollo astronauts reach a point where the Moon’s gravitational pull is stronger than that of Earth’s.
Find the distance of this point from the
center of the Earth. The masses of the
Earth and the Moon are 5.98 × 1024 kg and
7.36 × 1022 kg, respectively, and the distance
from the Earth to the Moon is 3.84 × 108 m.
Answer in units of m.
PART 2
What would the acceleration of the astronaut be due to the Earth’s gravity at this
point if the moon was not there? The
value of the universal gravitational constant
is 6.672 × 10−11 N · m2/kg2.
Answer in units of m/s^2
The acceleration of the astronaut to be due to the Earth’s gravity at this point if the moon was not there is 3.33 · 10e-3 m/s²
What is an acceleration ?
The term acceleration is defined as the rate of change of velocity.
Given:
mA is the mas of the astronaut
mE is 5.98 × 10 24 kg mass of the Earth
mM = 7.36 × 10 22kg mass of the Moon
r is distance between Eart and Moon,
r = 3.84 × 10 8 m
rM is the point where the forces from the Earth and the Moon are the same
g is gravitational constant
= 6.67 × 10 -11 Nm2/kg2
FE = FM
g × mE × mA / (r-rM)2 = g × mM × mA / (rM2) yields
mE / (r-rM) 2 = mM/rM2
sqrt (mE/mM) (r-rM) = rM
rM × (1+sqrt (mE/mM) = sqrt (mE/mM) × r
rM = (sqrt (mE/mM) × r) / (1+sqrt (mE/mM))
rM = 9 × 3.84 × 10 8m/10
rM = 3.456 × 10 8 m
less than that distance is the asked one
b) F=Fg
mA × a = g × mA × mE/(rM2)
a = g × mE / (rM2)
a = 6.67 × 10 -11 Nm2/kg2 × 5.97 × 10 24kg/ (3.456 10 8m)2
a = 3.33 × 10 -3 m/s2
Thus, The acceleration of the astronaut to be due to the Earth’s gravity at this point if the moon was not there is 3.33 · 10e-3 m/s²
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Which part of a circuit can be turned on and off to make an electromagnet
work or stop?
A. The ammeter
B. The connecting wires
C. The magnetism
D. The electric current
You and your friend decide to go on a weekend road trip to the nearby mountains. In your car is a barometer that reads 1003 mb as you leave home. Later, you arrive in the mountains and make the long,winding drive up to Summit Lodge, a motel known for its great view of the valley below. You notice that the barometer reads 960 mb. Your friend says,"That’s an extremely low pressure, which means a strong storm must be coming. We better head back home right now.' How would you reason with your friend to save the weekend?
I would explain to my friend that while a low barometer reading can indicate a storm, it is not the only factor that determines whether or not a storm is coming.
What is the barometer reading about?Other factors such as temperature, humidity, and wind direction also play a role in determining weather patterns. Additionally, a reading of 960 mb is not necessarily "extremely low" and could simply indicate a change in altitude as we have driven up into the mountains.
Therefore, I would suggest checking the weather forecast for the area and considering other signs of approaching bad weather before making a decision to head back home. We could also look for other ways to prepare for the trip.
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Enzyme reaction rates Consider the illustration below. What variable might be on the horizontal axis? (Click on all that apply) Temperature pH
Activation energy Competitive inhibitor concentration Rate of reaction Noncompetitive inhibitor concentration Salt concentration
In general, a reaction is sped up by increasing temperature and slowed down by decreasing temperature. But extremely high temperatures can denature an enzyme, causing it to lose its form and cease functioning.
How is the rate of reaction affected by variations in pH or temperature?As enzymes have a maximum temperature and pH at which their rate is maximal, temperature and pH can both raise or reduce the enzyme reaction rate. The pace of reaction for the enzyme will be slowed down by changes in temperature and pH that are not optimal.
Which of the following factors will speed up an enzyme reaction?An enzyme's concentration increases along with the speed of an enzyme-catalyzed process. An enzyme-catalyzed process accelerates with rising temperatures at low temperatures. The protein is denatured at higher temperatures, which also causes a sharp drop in reaction rate.
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A response is typically sped up by rising temperature and slowed down by falling temperature. However, exceedingly hot temperatures can denature an enzyme, causing it to lose its shape and stop working.
Temperature and pH have the ability to increase and decrease the rate of an enzyme reaction since enzymes have a maximum temperature and pH at which they function at their highest rate. Unfavorable variations in temperature and pH will cause the enzyme's reaction to proceed more slowly. The rate of an enzyme-catalyzed process increases as the concentration of the enzyme rises. When temperatures are low, an enzyme-catalyzed reaction speeds up as they rise. At higher temperatures, the protein is denatured, which also results in a dramatic decrease in response rate.
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How many electrons must be removed from a neutral object to leave a net charge of
0.560 µC?
The total number of electrons removed from the neutral object is 3.5 × 10¹⁰ .
What is charge?
The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge.
The two types of electric charges - protons and electrons.
The net change of the object = 0.560 μC = 0.560 × 10⁻⁶ Coulomb.
Electric charge of each electron = - 1.6 × 10⁻¹⁷ Coulomb.
Hence, the total number of electrons removed = net change of the object ÷ charge of each electrons
= 0.560 × 10⁻⁶ Coulomb ÷ 1.6 × 10⁻¹⁷ Coulomb.
= 3.5 × 10¹⁰ .
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CE Consider the three electric charges, A, B, and C, shown in FIG URE 19-37. Rank the charges in order of increasing magnitude of the net force they experience. Indicate ties where appropriate.
The increasing magnitude of the forces are; A > B > C
What is a charge?We know that when we talk about a charge, we are talking about a specie that has more or less electrons in it. In this case, we are looking at the charges that have been shown here and how the force that acts on the charges depends on the distance.
We can see that the negative charge there is the charge at A and there are two positive charges that are attracted to it at various distances and this determines the net force on the charges.
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jim pushes a box with a force of 100N. neglect friction.
a. how mang forces exerted on the box? draw the diagram to support your answer.
b. what is the resultant force in the example?
c. let assume that the mass of the box is 10kg. use newton's law of motion to find the acceleration of the box.
If we neglect the friction, then the resultant force will equal 100 N. The acceleration of the box is equal to 10 m/s².
What is Newton's second law of motion?According to Newton’s 2nd law of motion, the force applied equals the mass of the object times acceleration for a definite mass.
The acceleration depends on two variables first one is the mass and the net force acting on the object. The acceleration can be described as directly proportional to the force applied on the body and inversely proportional to the mass.
The relationship of Newton’s 2nd law can be written as follows:
a = F/m
The expression shows that the acceleration vector's direction is the same as the net force vector.
Given the friction is zero, therefore applied force is equal to the resultant force.
The mass of the box, m = 10 Kg
The resultant force, F = 100 N
The acceleration of the box, a = F/m
a = 100/10
a = 10 m/s²
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Two spheres of uniform density are located a distance l apart, as shown in the figure above. the left sphere has a mass M1, and the right sphere has a mass M2. the center of mass of the two spheres is labeled point P. Which of the following is a correct expression for the distance from point P to the center of the left sphere? group of answer choices a. (M1/M2)*L
b. (M1+M2/M1)*L
c. (M1+M2/M2)*L
d. M2/(M1+M2)*L
e. M1/(M1+M2)*L
The distance from point P to the center of the left sphere is M2/(M1+M2)*L when two spheres of uniform density are located a distance L apart.
Given the mass of left sphere = M1
mass of right sphere = M2
Let a point P be between the two spheres that locates the center of mass.
The distance between the two spheres = L
Let the distance from left sphere to point P = d
And the distance from right sphere to point P be = L-d
At point P, field due to mass M1 will be equal to mass M2,
We know that to find center of mass = M1 x distance from left sphere + M2 x distance from right sphere.
Center of mass = M1 x d + (-M2 x (L-d)) = 0 since acting opposite.
M1d - M2L + M2d = 0
d(M1+ M2) = M2L
d = M2L/(M1+M2)
Hence the distance from point P to the center of the left sphere is M2L/(M1+M2).
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M2/(M1+M2)*L is the distance between the center of the left sphere and point P when two spheres of uniform density are placed L apart from one another.
When all possible outcomes have an equal probability, a curve is said to be "uniform." Therefore, the frequency of each result is the same. As a result, the height at each x-axis location is the same, and the uniform density curve takes on the shape of a rectangle.
Calculation:The mass of left sphere = M1
mass of right sphere = M2
Let a point P be between the two spheres that locates the center of mass.
L is the length separating the two spheres.
Let the distance from left sphere to point P = d
And the distance from right sphere to point P be = L-d
At point P, field due to mass M1 will be equal to mass M2,We know that to find center of mass = M1 x distance from left sphere + M2 x distance from right sphere.
Center of mass = M1 x d + (-M2 x (L-d)) = 0 since acting opposite.M1d - M2L + M2d = 0
d(M1+ M2) = M2L
d = M2L/(M1+M2)
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What is the average force if the car takes 1.5 seconds to stop?
Answer:Approximately 7 m/s 2
Explanation:In an emergency the average driver takes approximately 1.5 seconds to react A modern vehicle with good brakes and tyres, after braking, is capable of stopping at approximately 7 m/s 2. A dry road that is sealed and level enables good friction between the tyres and the road to help stop the vehicle sooner.
A 12.4 m rope attaches a board overhanging a building. A painter swinging on the board has a mass of 97kg. If the magnitude of the centripetal force is 113.0 N, what is the painters tangential speed?
When the painter swinging on the boar, his tangential speed is 3.8 m/s.
What is centripetal force?
A force that causes a body to follow a curved path is known as a centripetal force. It always moves in a direction that is the opposite of the body's velocity and in the direction of the immediate center of curvature of the path.
It is "a force by which bodies are dragged or driven, or in any manner tend, towards a point as to a center," according to Isaac Newton. Gravity is the centripetal force that drives astronomical orbits according to Newtonian mechanics.
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an object is thrown horizontally with velocity of 10m/s from the top a 20m high buildings . where does the object strike the ground.
The object strikes the ground 20m from the building when the object is thrown horizontally with a velocity of 10m/s from the top of a 20m high building.
This type of motion is known as projectile motion.
x is the distance from the base of the building where the object strikes the ground.
so x = uₓ × t
uₓ, horizontal velocity = 10m/s
t: time taken by the object to strike the ground
h: height of the building = 20m
The initial velocity of the object in the vertical direction, v = 0 and
the initial acceleration of the object in the vertical direction, a = g = 10 m/s²
therefore, we can write
h = vt + 0.5 × g × t²
or 20 = 0×t + 0.5 ×10× t²
or t² = 4 or t = 2sec
Now, x = 10m/s × 2s
x = 20m
Therefore, the object strikes the ground 20m from the building when the object is thrown horizontally with a velocity of 10m/s from the top of a 20m high building.
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A motorcycle has a constant speed of 29 m/s as it passes over the top of a hill whose radius of curvature is 108 m. The mass of the motorcycle and driver is 350 kg. Find the magnitude of the normal force that acts on the cycle.
The magnitude of normal force (N) on motorcycle is 704.537 N
In this type of scenario, we have been told that the mass, denoted by "m," is 350 kilograms, that the speed of the motorcycle, denoted by "v," is 29 meters per second, and that the radius of curvature, denoted by "R," is 105 meters. We can utilize the second law of motion that Newton proposed to compute the magnitude of the normal force, which is as follows:
[tex]m . g - N = \frac{mv^{2} }{R}[/tex]
By applying the formula above we have:
[tex]350 x 9.8 - N= \frac{350x29^{2} }{108}[/tex]
3430 - N = 2725.46296
N = 3430 - 2725.46296
N = 704.537 N
Thus, the magnitude of normal force on motorcycle would be 704.537 N
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