the center of mass of the two cars moving is with a speed of 61.41m/s
What is center of mass ?
A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The centre of mass for straightforward stiff objects with homogeneous density is found at the centroid.
The center of mass also functions as a location at which inertial forces, such as centrifugal force, and gravitational force are applied. There are a number of direct and indirect techniques for locating the center of mass.
Let mc be the mass of the Chrysler and νc be its velocity .
Let mf be the mass of the Ford and νf be its velocity . Then the velocity of the center of mass is
ν com = (mc v c + mf v f) /m c+ m f = [tex](2050*75 + 1300*40)/(2050+1300)[/tex]
= 61.41 km/h
We note that the two velocities are in the same direction, so the two terms in the numerator have the same sign.
the center of mass of the two cars moving is with a speed of 61.41m/s
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an air-track glider attached to a spring oscillates between the 15.0 cm mark and the 66.0 cm mark on the track. the glider completes 12.0 oscillations in 41.0 s. what is the period of oscillations?
The time period is 3.3 s, frequency is 0.303 Hz, amplitude is 0.25 m, and maximum speed is 0.47575 m/s.
Based on the given information,
• The air-track glider connected with a spring oscillates between the 10 cm mark and the 60 cm mark.
• In 33 seconds, the glider completes 10 oscillations.
Here we have to find the period, frequency,amplitude and maximum speed of glider.
The time period of one oscillation is 33s/10 = 3.3s
The frequency f is the reciprocal of the time period.
f= 1/T =1/3.3 S = 0.303 Hz
The amplitude A is
A = 1/2 (60cm - 10cm)
= 25cm
Maximum speed of glider is
V max = 2π/t (0.25m)
V max = 0.47575m/s
Thus, time period is 3.3 s, frequency is 0.303 Hz, amplitude is 0.25 m, and maximum speed is 0.47575 m/s.
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5. An object travels with constant speed through 1km for one minutes and 20 seconds and accelerates with 0.125m/s² for 20 seconds, what is the total displacement? A) 1250 m B) 275 m C) 1275 m D) 1225m
Answer:
C) Total displacement = 1275 m or 1.275 km
Explanation:
We'll break this into two parts:
1) Displacement during constant speed, and
2) Displacement during the acceleration phase.
Constant Speed
The displacement for this segment is already stated: 1 km. But the information includes the time, which will allow us to calculate the speed of travel. We'll need this for the next phase of acceleration.
Distance = Speed x Time
Speed = Distance/Time
Time = 1 minute + 20 sec, or 80 sec.
Speed = 1 km/80 sec
Speed = 0.0125 km/sec
Since we'll be using meters (not km) in the next step, convert 0.0125 km/sec to m/sec with a conversion factor:
(0.0125 km/sec)*(1000m/1 km) = 12.5 m/sec
Acceleration Phase
The obect is moving at a speed of 12.5 m/sec (from above) and then accelerates at a rate of 0.125 m/sec^2 for 20 seconds.
The distance (s) an object travels during this acceleration (a) is gven by:
s = vi*t + (1/2)a*t^2,
where vi is the initial velocity (12.5 m/sec in this case), a is the acceleration (0.125 m/sec^2), and t is the time (20 seconds).
s = (12.5 m/sec)(20 sec) + (1/2)(0.125 m/sec^2)*(20 sec)^2
s = 275 meters
Now add the two distances:
1) Constant Speed Phase = 1000 m
2) Acceleration Phase = 275 m
Total displacement = 1275 m or 1.275 km
Which statement best describes the process of alpha decay? (1 point)
O An unstable nucleus rearranges its particles and releases energy.
O An unstable nucleus releases a single positively charged particle.
O An unstable nucleus releases an electron.
O An unstable nucleus releases a particle containing two protons and two neutrons.
Two protons and two neutrons are both present in the particle that an unstable nucleus releases.
What does alpha decay mean?The nuclear process known as "alpha decay" results in the parent nucleus emitting an alpha particle. The alpha particle, represented by the Greek letter and physically similar to the helium atom's nucleus, is made up of two protons and two neutrons.
Which statement about alpha decay is accurate?What statement about deterioration is true? It brings down the atomic number of the nuclide by 2. The daughter nuclide, which frequently doesn't undergo further decay since the parent nuclide is unstable, is created during radioactive decay.
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This equation shows how the number of biscuits Olivia can bake is related to the amount of flour she has.
c = 15f
The variable f represents the number of scoops of flour Olivia has, and the variable c represents the number of biscuits she can bake. With 1 scoop of flour, how many biscuits can Olivia bake?
With 1 scoop of flour, Olivia can bake 15 biscuits if the the equation that shows the relation between number of biscuits and amount of flour is c = 15f.
c = 15 f
c = Number of biscuits
f = Number of scoops of flour
f = 1
c = 15 * 1
c = 15
This equation shows that number of biscuits that can be made is 15 times the number of scoops of flour. So if the number of scoops of flour is 1, the number of biscuits that can be made is 15.
Therefore, with 1 scoop of flour, Olivia can bake 15 biscuits
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ake a 40-pf capacitor and charge it to a potential difference of 500 v. then disconnect it from the battery and connect its terminals to those of an uncharged 10-pf capacitor. what are: (a) the
If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be Decreased and the resonant frequency would be unchanged.
What is capacitor ?
Frequency is the rate at which something occurs over a particular period of time or in a given sample.
Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.
It is defined as-
XL= 2πfL
Xc= 1/2πfC
So when reactances are equal we have-
XL=Xc
2πfL= 1/2πfC
f^2=1/4π^2LC
f=1/2π√LC
The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.
The impedance of a parallel LC circuit is:
Z(w)= jL w^2-w^2•/w
In a series LC circuit, when w
, the impedance becomes equal to 0.
Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.
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1. keep sensor at a distance of 2 meter from charge. what is the value of electric field at this point? calculate the value by using formula of electric field. do both values match?
The value of electric field is 2.247 V/m. Yes, the observed value and calculated values of electric field match.
The electric field will be calculated using the formula -
E = kq/r². In this formula, E stands for electric field, k represents constant of proportionality, q is the charge of electron and r is the distance. As per the known fact, the value of k is 8.89×10⁹ N m²/C² and value of q is 1.6×[tex] {10}^{ - 19} [/tex] C.
Keep the values in formula for calculation of electric field.
E = (8.89×10⁹ × 1.6×[tex] {10}^{ - 19} [/tex])/2²
Taking square in denominator
E = (8.89×10⁹ × 1.6×[tex] {10}^{ - 19} [/tex])/4
Performing multiplication and division
E = 2.247 V/m
Thus, the observed and calculated electric field is 2.247 V/m, which is equal in both the cases.
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The complete question is attached in the diagram.
n sussex county, delaware, a post-halloween tradition is punkin chunkin, a competition in which contestants build cannons, catapults, trebuchets, and other devices to launch pumpkins to the greatest distance they can. tough hard to believe, pumpkins have been projected a distance of 1245 m (over 3 4 mi) in this contest. what is the minimum initial speed needed for such a shot?
110.53m/s is the minimum initial speed or initial velocity needed for such a shot.
The lowest speed at which a particular range is attained is determined. It is stated the distance that the pumpkins were hurled. By inserting the range of the pumpkin and the acceleration owing to gravity, the minimal velocity at which they were launched to go this distance was determined.
[tex]R=u_m^2/g[/tex]
[tex]1245.41m=(u_m^2/9.80m/s^2[/tex]
[tex]u_m^2=12217.47[/tex]
[tex]u_m=110.53m/s[/tex]
Any object susceptible to forces will move more quickly. This acceleration causes a change in the object's velocity. The speed of the item prior to the change brought on by acceleration is therefore known as the initial velocity. The speed will be the final speed once the object has been accelerating for some time.
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Pushing or pulling an object that is not already moving can make that object start to move?
TRUE
OR
FALSE ?
According to the research, the correct option is true. The statement "Pushing or pulling an object that is not already moving can make that object start to move" is true.
What is motion?It is about the change of position starting from a reference system from which it is observed that an object experiences.
In this sense, it is related to the displacement of a body and is produced by an imbalance between the forces that act on it, that is, the application of a force modifies the state of rest or the direction of movement.
Therefore, we can conclude that motion is the state of bodies when they change position caused by an effect acting on the bodies called force.
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if you have a sharper curve and youa re 60 mph if you decrease the radius of an object traveling in a circle, but keep the velocity the same, what happens to the centripetal acceleration experienced by the object?
Given a constant speed, the centripetal acceleration of an item travelling in a circle is inversely proportional to the radius of the curve (a=v2/r).
As a result, the acceleration is smaller for a gradual curve with a large radius and greater for a sharp curve with a short radius.
Centripetal acceleration: What is it?The speed at which a body rotates around a circle is known as centripetal acceleration. When a body moves in a circle, its d is equal to its velocity since velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction) direction is continually changing, which causes a change in velocity, which results in an acceleration.
What is the centripetal acceleration's direction?The acceleration is brought about by a force that is focused at the, It is referred to as a centripetal force.
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during a snowball fight two balls with masses of 0.30 and 0.70 kg, respectively, are thrown in such a manner that they meet head-on and combine to form a single mass. the magnitude of initial velocity for each is 12.0 m/s. what is the speed of the 1.0-kg mass immediately after collision?
Velocity can be defined as the rate at which something moves in a specific direction.as the speed of a car driving north on a highway or the pace at which a rocket takes off.Because the velocity vector is scalar, its absolute value magnitude will always equal the motion's speed.
Solve the problem ?
The direction of a body or object's movement is defined by its velocity.In its basic form, speed is a scalar quantity.In essence, velocity is a vector quantity.It is the speed at which distance changes.It is the displacement change rate. Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.In other words, velocity is a vector, whereas speed is a scalar value. 10.4 m/sGiven that the weight of the first snowball, m1, is 0.3 kg, and the weight of the second snowball, m2, is 0.7 kgu = I2.0 m/s is the magnitude of the starting velocity for both masses.The magnitude of starting momentum is equal to the magnitude of final momentum, according to the formula for the conservation of linear momentum.V(m1 + m2) = m1u1 + m2u2.
0.3 * 12.0 + 0.7 * 10.4 = V(3.0 + 7.28)
3.0+ 7.28 = V(1) (1)
10.28 = V
The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass
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The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass.
What is Velocity?The velocity of a body or object determines its direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is the rate of change in distance. The displacement change rate is the issue.Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion.In other words, speed is a scalar value, but velocity is a vector.10.4 m/sGiven that the first snowball, m1, weighs 0.3 kg, and the second snowball, m2, weighs 0.7 kg, the beginning velocities of both masses are equal at u = I2.0 m/s.
V(m1 + m2) = m1u1 + m2u2.
0.3 * 12.0 + 0.7 * 10.4 = V(3.0 + 7.28)
3.0+ 7.28 = V(1) (1)
10.28 = V
The 0.3 mass and 0.7 kg mass are added to create the 1 kg mass.
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the chapley-curtis debate concerned the location of the chapley-curtis debate concerned the location of the milky way galaxy. center of the universe. the sun within the milky way galaxy. spiral nebulae.
Yes , Astronomer Edwin Hubble was able to determine the distance .
What is Shapley-Curtis debate ?
The dispute between Shapley and Curtis centered on the existence of other galaxies, with Curtis asserting the existence of other galaxies and Shapley asserting that the other nebulae observed were part of the Milky Way. The argument came to a final conclusion when Hubble was able to show that the Andromeda galaxy is over a million light years away and not part of our galaxy. We were able to determine the distance to a variable star in the Andromeda galaxy more than a year away.
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a 14- kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 28- kg package on the ground. what is the magnitude of the least acceleration the monkey must have if it is to lift the package of the ground?
The magnitude of the least acceleration the monkey must have if it is to lift the package off the ground: is 9.8 m/[tex]s^2[/tex]
From free body diagram,
The minimum acceleration of the monkey of mass (m) to lift the package off the ground is
[tex]m_{1}a_{min} = m_2g -m_1g\\a_{min} = \frac{m_2 - m_1}{m_1} g \\a_{min} = \frac{28 - 14}{14} 9.8 m/s^2 \\ \\a_{min} = 9.8 m/s^2 \\\\\\[/tex]
What is Mass?Mass is the amount of matter in a physical body. It also measures the body's inertia, the resistance to acceleration when a net force is applied. The mass of an object also determines its gravitational force on other objects. The basic SI unit of mass is the kilogram. Mass is best understood as the amount of matter in any object or body. Everything we see around us has mass. For example, a table, a chair, a bed, a football, a glass, and even air have mass.
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Applying Concepts Does a car's speedometer show instantaneous speed, average speed, or velocity? Explain.
Answer:
The speedometer of a car reveals information about the instantaneous speed of your car. It shows your speed at a particular instant in time.
Explanation:
Ethan slid a glass of OJ for peter across a counter with a speed of 2.1 m/s unfortunately peter missed it if the countertop was 1.1m above the floor how long did it take for the glass to hit the ground
Answer:
It takes 0.47 seconds for the OJ to reach the ground.
Explanation:
d = vi*t + (1/2)at^2
(-1.1) = (0)t + (1/2)(-9.8)t^2
-1.1 = -4.9t^2
0.22445 = t^2
0.47s = t
a marble is rolling across a flat surface with a velocity of 2 m/s. it begins to roll up a ramp. ignoring rotational kinetic energy and friction, what will be the vertical height of the marble when it comes to a stop before rolling back down?
The vertical height of the marble when it comes to a stop before rolling back is 20 centimeters.
As per the Law of conservation of energy,
If there is no external force acting on the system, the energy will always remains the same at every point of the motion.
As, we can see, there is no external force on the marble,
Energy of the marble at start will be equal to energy of the marble at the vertical height
We can write,
Energy while rolling = Energy at the highest point
1/2MV² = MgH
Where,
M is the mass of the marble,
V is the velocity of the marble,
g is the acceleration due to gravity and,
H is vertical height of the marble.
So,
1/2MV² = MgH
1/2V² = gh
Putting all the values,
1/2(2)² = 10H
H = 4/20
H = 0.2 meters.
So, the vertical height of the marble is 20 cm.
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A bird flies at 10m * s ^ - 1 for 3s, 15m * s ^ - 1 for 3s, and 20m * s ^ - 1 for 4 Calculate the birds's average speed. A 4.5m * s ^ - 1 B 15m * s ^ - 1 C 15.5m * s ^ - 1 D 51.7m * s ^ - 1
The bird's average speed when he flies 10 m/s for 3 s, 15 m/s for 3s and 20 m/s for 4 s is 15.5 m/s. The right option is C 15.5 m/s
What is average speed?Average speed can be defined as the ratio of the total distance to the total time traveled by an object.
To calculate the average speed of the bird, we use the formula below.
Formula:
S = Total distance/total timeS = s₁t₁+s₂t₂+s₃t₃/(t₁+t₂+t₃)............. Equation 1From the question,
Givne:
s₁ = 10 m/st₁ = 3 ss₂ = 15 m/st₂ = 3 ss₃ = 20 m/st₃ = 4 s
Substitute these values into equation 1
S = [(10×3)+(15×3)+(20×4)]/(3+3+4)S = (30+45+80)/10S = 155/10S = 15.5 m/sHence, the average velocity of the bird is 15.5 m/s.
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a 2.6 m diameter penstock carries water at a velocity of 7m/s to an 80% efficient hydroelectricity generation facility in west virginia that produces 12 mw. another 2.275 m diameter penstock carries water at a velocity of 3 m/s to a 74% efficient hydroelectric generation facility in arkansas that produces 9 mw. what is the ratio of the heads of arkansas' reservoir to west virginia's reservoir?
The ratio of the heads of arkansas' reservoir to west virginia's reservoir is 1813 : 1120
Consider the West virginia reservoir,
To calculate the head of the virginia reservoir, we will use
φ = P / nρgh ...(1)
where φ is the flow rate, P is the power generated, n is efficiency, ρ is the density of water, g is the acceleration due to gravity and h is the head.
Given that flow rate is 7 m/s, power generated is 12 mw, 80% is the efficiency.
We know that density of water is 1000 [tex]kg/m^{3}[/tex] and acceleration due to gravity is 9.8 [tex]m/s^{2}[/tex]
By using equation (1)
h = P / φnρg
h = [tex]\frac{12}{7 * \frac{80}{100} * 1000*9.8 }[/tex]
h = 13440
Similarly, the head of the arkansas reservoir will be
Given that flow rate is 3 m/s, power generated is 9 mw, 74% is the efficiency.
h = P / φnρg
h = [tex]\frac{9}{3 * \frac{74}{100} * 1000*9.8 }[/tex]
h = 21756
Now, the ratio of the heads of arkansas' reservoir to west virginia's reservoir is
= (heads of arkansas) / (head of the virginia)
= 21756 / 13440
= 1813 : 1120
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A person of weight 600n at the bottom of a mountain climbs to the top. the gravitational field strength changes from 10.00n/kg at the bottom to 9.97n/kg at the top.his mass is unchanged as he climbs. what are his mass and his weight at the top of the mountain
At the summit of the mountain, the mass is 60.18 kg, the weight is 600 N, and the mass is unaltered.
What is Mass?Weight is the force of gravity acting on an item, whereas mass is the amount of matter that makes up the object. Weight varies from place to place yet mass is constant everywhere you are in the cosmos. Kilograms are used to measure mass.Let the mass on earth be m.
Given, W= 600N, g= 9.97 N/kg(top of mountain)As we know:
The formula for Weight = mass x acceleration due to gravity at place W=m*gNow, calculate as follows:
m = W/g= 600*9.97mass = 60.18 kgW= m*g= 60.18 * 9.97= 600NWeight = 600NTherefore, at the summit of the mountain, the mass is 60.18 kg, the weight is 600 N, and the mass is unaltered.
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in a computational model of the energy loss of a house, if the energy flux increases and the total area insulated increases, what happens to the energy loss of the house?
The energy loss can increase or decrease.
In modern houses and systems, insulation is created to maintain heat and reduce losses.
P = ( AΔT ) / R
P is the heat flow, A is the insulated area, T is the temperature difference, and R represents the correlation between the insulation's thermal conductivity and thickness.
In this instance, they suggest that both the flow and the isolated area are growing. We have numerous options.
In this instance, the flow grows faster than the isolated area, increasing heat loss.
The quantity of insulation needed to increase (R) will cause the heat flow to grow by the same amount as the isolated area while keeping losses constant
Losses will reduce if the rate of heat transfer increases more slowly than the area that is insulated.
The two rises in this instance suggest that the heat requests may increase or decrease.
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How far could you speed walk in 90 seconds based on your speed for the 10 meter trail
Answer:
Explanation:
Given,
Time ( t ) = 90 seconds
Distance ( d ) = 10 meter
To find : Speed ( v ) = ?
Formula : -
v = d/t
v = 10/90
v = 1/9 m/s ( meters per second )
Hence,
1/9 m/s is the speed walk in 90 seconds for the 10 meter trail.
Two helium isotopes fuse to form beryllium, as shown below. The mass of beryllium is 2.73 x 107 kg less than the combined mass of the two helium atoms. How much energy was produced during this reaction? The speed of light is 3 x 108 m/s. Show your work. Use E = mc².
3/2He+ 4/2He → 7/4Be
A chemical element with the symbol Be and atomic number 4 is known as beryllium. Beryllium is a solid at room temperature and is categorized as an alkaline earth metal. The molar mass of beryllium (atomic number 4) is 9.012 g/mol. Accordingly, if all 6.22x1023 Beryllium atoms were put together in a mole, they would weigh 9.012g on a triple beam balance.
Explain about the mass of beryllium?
The atomic mass unit serves as the unit of measurement for mass (amu). A mass unit of an atom is 1.66 x 10-24 gram. The mass of one nucleon, which can be either a single proton or neutron, is roughly equal to one unified atomic mass unit, which is numerically equivalent to 1 g/mol.
In the aircraft industry in particular, beryllium is employed in gears and cogs. A silvery-white metal is beryllium. It has a low density and is relatively soft. Gyroscopes, springs, electrical contacts, spot-welding electrodes, and non-sparking tools all use beryllium in alloys with copper or nickel.
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a ten-loop coil having an area of 0.23 m2 and a very large resistance is in a 0.047-t uniform magnetic field oriented so that the maximum flux goes through the coil. the coil is then rotated, so the flux goes to zero in 0.34 s. what is the magnitude of the emf induced in the coil during the 0.34 s?
The magnitude of electromotive force is 0.32 volts.
We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by
ε = N dΦ / dt
where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.
From the question above, the parameters given are
B = 0.047 T
dt = 0.34 s
N = 10
A = 0.23 m²
Find the change in magnetic flux
dΦ = (B . A)
dΦ = ( 0.047 . 0.23 )
dΦ = 0.01081 Tm²
By substituting the given parameters, we can calculate electromotive force
ε = N . dΦ / dt
ε = 10 . 0.01081 / 0.34
ε = 0.32 volt
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Which of the following are the freezing and boiling points of water on the Centigrade scale?Select one:a. 32° and 100°b. 0° and 100°c. 32° and 212°d. 0° and 212°
Answer:
b
Explanation:
For C scale , water freezes at 0 and boils at 100 C
the sweet spot on a baseball bat is 55 cm from the axis of rotation during the swing of the bat. if the sweet spot on the bat moves 36 m/s, what is the angular velocity of the bat (in rad/s)?
The Angular velocity is 54.55 rad/s
What is angular velocity?
The rate at which an angle between two bodies changes is known as angular velocity. Something changes when an object rotates or revolves around an axis. This displacement is depicted in the image by the angle formed by a line on just one body and a line on the other. Technical terms like degrees, 360-degree revolutions, as well as revolutions per minute have been frequently used to describe angles or angular displacements (rpm). Angles and angular velocities are typically expressed in radians as well as radians per second, respectively, in mathematics and physics.
These conversion factors link these measurements together:
A radian equals 1/180 (or 0.0175) of a degree, and a radian per second = 1/30 (or 0.105) of a radian.
Angular velocity W= U/r
Given V= 30m/s ; r=0.55mW=3/0.55 = 54.55 rad/s
Hence the answer is 54.55 rad/s
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if light of wavelength 257 nm is shined on a metal surface, electrons are ejected from the metal surface with a velocity 6.80 x 105 m/s. what is the wavelength of the ejected electrons?
The wavelength released during photoelectric effect is 353 nm.
We need to know about the photoelectric effect to solve this problem. The photoelectric effect is electron ejected from metal because of light source. The kinetic energy of the ejected electron is
K = (hc / λ) - (hc /λo)
where K is kinetic energy, h is Max Planck constant (6.6 x 10¯³⁴ Js), λ is the wavelength of light source and λo is the wavelength released from the metal.
From the question above, we know that
λ = 257 nm = 257 x 10¯⁹ m
c = 3 x 10⁸ m/s
v = 6.8 x 10⁵ m/s
me = 9.1 × 10¯³¹ kg
Find the wavelength released
K = hc . (1/λ - 1/λo)
1/2 . me .v² = 6.6 x 10¯³⁴ x 3 x 10⁸ . (1/257 x 10¯⁹ - 1/λo)
1/2 . 9.1 × 10¯³¹ . (6.8 x 10⁵)² = 6.6 x 10¯³⁴ x 3 x 10⁸ . (1/257 x 10¯⁹ - 1/λo)
2.10 x 10¯¹⁹ = 1.98 x 10¯²⁵ . (1/257 x 10¯⁹ - 1/λo)
2.10 x 10¯¹⁹ = (7.70 x 10¯¹⁹) - (1.98 x 10¯²⁵ / λo)
(1.98 x 10¯²⁵ / λo) = 5.60 x 10¯¹⁹
λo = 0.353 x 10¯⁶ m
λo = 353 nm
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Help please and thank you
Based on the data in the chart, it can be concluded that as mass increases, so does thermal energy, because the thermal energy of a substance is highly dependent on its temperature and mass.
What is Thermal energy?Thermal energy always moves from a higher temperature area to a lower temperature area. When a block of ice comes into contact with a colder substance, such as liquid nitrogen or dry ice, thermal energy moves from the ice to the colder substance.
Because mass measures the amount of material in a sample, thermal energy is determined by the mass and temperature of the object. The more significant the mass of the object, the more particles there are in the model, and the more significant the thermal energy.
Thermal energy is the energy contained in the motion and vibration of its molecules.
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What is the BEAT FREQUENCY when 512 Hz and a 515 Hz tuning forks are sounded at the same time?
The beat frequency is 3 beats/sec.
Beat frequency(n) can be found by using the following formula:
n=f2-f1, where f2 and f1 are the given frequencies
n= 515-512
n= 3 beats/sec
Therefore the beat frequency when 512 Hz and 512Hz tuning forks are sounded together is 3 beats/sec.
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a car's bumper is designed to withstand a 5.40 km/h (1.5-m/s) collision with an immovable object without damage to the body of the car. the bumper cushions the shock by absorbing the force over a distance. calculate the magnitude of the average force on a bumper that collapses 0.225 m while bringing a 890 kg car to rest from an initial speed of 1.5 m/s.
The average force is F = 2722.5N
This law of interaction states that when one body exerts a force on a second body, the second body exerts an equal and opposite force on the first body. This is the law of action and reaction, which helps explain why you feel the impact when you collide with another bumper car.
When the car hits something at low speed, the foam and fenders absorb the energy, pushing the bumper back and using the crumple zone to cushion the impact. Shattering the bumpers, fenders, and foam limits the damage you can do to the cars and the people inside them. means equal to the sum.
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. overdriving your headlights is a. driving with only your parking lights on. b. driving at a speed that makes your stopping distance longer than the distance illuminated by your headlights. c. having your headlights aimed improperly. d. driving with your high-beam headlights on.
Overdriving is driving at a speed making the stopping distance longer than the distance illuminated by headlights.
Typically, one can utilize their headlights to schedule stops in dimly lit or low visibility locations. Typically, one can measure their stopping distance using the visible light cone in the headlights. Exceeding the stopping distance that the headlights highlight is overdriving. Thus, driving too fast and leaving little room to stop in an emergency is known as overdriving the headlights.
When the lights are far enough ahead of a person to illuminate the road, one should often stop so that they can see any approaching impediments. When one is traveling at a rate of speed that prevents them from stopping in that lit region, that rate of speed is taken into account.
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A rock hits the ground with a speed of 6.2m/s and a kinetic energy of 113.J. What is the rock’s mass in Kilograms?
The mass of the rock with a kinetic energy of 113J and a speed of 6.2m/s is approximately 5.88 kilograms.
What is the mass of the rock?Kinetic energy is simply the energy a body possesses due to its motion;
It is expressed as;
K.E = 1/2 × m × v²
Given the data in the question;
Kinetic energy K.E = 113J = 113kgm²/s²Velocity of the rock v = 6.2m/sMass of the rock = ?To determine the mass of the rock, plug the given values into the Kinetic energy formular and solve for m.
K.E = 1/2 × m × v²
113kgm²/s² = 1/2 × m × ( 6.2m/s )²
113kgm²/s² = 1/2 × m × 38.44m²/s²
113kgm²/s² = m × 19.22m²/s²
m = 113kgm²/s² / 19.22m²/s²
m = 5.88kg
Therefore, the mass of the rock is 5.88 kilograms.
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