Logarithmic decrement is the ratio of successive amplitudes in a time series.
The logarithmic decrement δ is equal to the natural logarithm of the ratio of two successive maximum deflections x of oscillating quantity in the same direction:
δ = log( [tex]x_{1} /x_{2}[/tex])
Logarithmic decrement is used to find the damping ratio of an underdamped system in the time domain. It is defined as the natural logarithm of the ratio of any two successive amplitude on the same side of the mean line.
Therefore we get that logarithmic decrement is the ratio of successive amplitudes in a time series.
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if this wire is used as a heating element, how much time is required for this wire to raise the temperature of 25.0 g of water from 27.0 o c to 60.0 o c? the wire is completely submerged in the water and all the energy dissipated in the wire is absorbed by the water.
The time required to gain the thermal energy is 3465/P second.
We need to know about thermal energy to solve this problem. The total heat received by the system will equal to total heat released by objects. It should follow
Q released = Q received
The heat can be defined by
Q = m . c . ΔT
where Q is thermal energy, m is mass, c is the specific heat constant and ΔT is the change in temperature.
The given parameters are
m = 25 g = 0.025 kg
c = 4200 J/kgK
ΔT = 60 ⁰C - 27 ⁰C = 33 ⁰C
The thermal energy released by the heating element per second is equal to the power. Let's assume that the heating element has the power of P
Find the thermal energy received by the water
Q = m . c . ΔT
Q = 0.025 . 4200 . 33
Q = 3465 joule
Find the time required to raise the temperature
P = Q / t
P = 3465 / t
t = 3465 / P second
where P is power in the watt unit.
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_______ energy is defined as stored energy.
Answer:
Potential energy
Explanation: Potential energy is represented as a stored energy.
How do these forces affect the car's
movement?
Thrust, Lift, Drag, and Weight are four opposing forces that affect every vehicle, whether it's a car, truck, boat, airplane, helicopter, or rocket.
What is force?A force is an influence that can cause an object's motion to change. A force can cause a mass object to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force exist as a vector quantity because it has both magnitude and direction. A mass object's velocity changes when it is pushed or pulled. Force is an external agent that can change the state of rest or motion of a body. It has a magnitude as well as a direction. The term "force" has a specific meaning. At this level, it is perfectly acceptable to refer to a force as a push or a pull.To learn more about force, refer to:
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What are three sources of errors in a center of gravity lab experiment
The centre of gravity, in physics, is an imaginary point in a body of matter where for convenience in certain calculations,
What are three sources of errors in a center of gravity?Sources of errors for the center of gravity of an irregularly shaped object: -environmental error: when the wind blows it may remove the irregularly shaped object from equilibrium. add: density variations, shape variations say, thickness], inability to measure precisely, inability to compute precisely. For example, as a result of a number of the center of gravity measurements, we may have the best estimate of the true value for the acceleration due to gravity, the center of gravity is the point between which the force of gravity move on a thing or system. In most mechanics problems the gravitational pasture is assumed to be constant. The center of gravity is then in entirely the same position as the center of mass.
So we can conclude that It is important to know the center of gravity because it predicts the behavior of a moving body when acted on by gravity.
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What two pieces of information would you need in order to measure the masses of stars in an eclipsing binary system?.
The two pieces of information would you need in order to measure the masses of stars in an eclipsing binary system include the following below:
The time between eclipses.The average distance between the stars.What is Eclipsing binary system?This refers to the different process which occurs in the solar system in which two close stars move in an orbit in space in relation to Earth such that the light of one can at times be hidden behind the other.
The masses of stars can be measured in this system through measuring the time between the eclipses so so to ascertain the accurate differences observed.
The average distance between stars provide more information about mass as a lighter one will most likely be faster which is therefore the reason why it was chosen as the correct choice.
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Answer:
Time between eclipses and the average distance between the stars
Explanation:
A forklift raises a crate weighing 8.35 × 102 newtons to a height of 6.0 meters. What amount of work does the forklift do?
Answer:5110.2 joule
Explanation:Weight of the crate:- 8.35 x 102 N
Height to which the forklift lift the crate:- 6.0 M
Work done by the forklift=F.d
F=Gravitational Force =m.g
d=height=h
Work w=m.g.h
m.g=8.35 x 102 N
h=6.0 M
w=8.35x102N x 6.0M
w=5110.2NM
w=5110.2joule
a 6.0-kg fish swimming 1.1 m/s swallows an absentminded 1.0-kg fish swimming toward it at a speed that brings both fish to a halt immediately after lunch. find the speed of the approaching smaller fish before lunch.
The speed of the approaching smaller fish before lunch is 6m/s.
What is the speed?The entire distance that an object travels in a predetermined amount of time is the definition of speed.
Given that the speed v₁ of big fish is 1 m/s and mass m₁ is 6kg. The mass m₂ of small fish is 1 kg.
Both fish have linear momentum of,
p₁ = m₁v₁ + m₂v₂
Where,
p₁ is the initial linear momentum
v₂ is the speed of the small fish.
Since both fish are traveling in the same direction and v is their ultimate meeting velocity, the final linear momentum will be given as,
p₂ = (m₁ + m₂) v
Linear momentum is held constant hence,
p₁ = p₂
m₁v₁ + m₂v₂ = (m₁ + m₂) v
The fish's final speed will be zero because they stopped moving., so
m₁v₁ + m₂v₂ = 0
v₂ = - m₁v₁/m₂
v₂ = -6×1/1
v₂ = -6
The negative symbol indicates that the tiny fish are swimming against the current.
The speed of the approaching smaller fish before lunch is 6m/s.
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Force Problem: Four concurrent forces are applied to a 5 Kg mass: 50 N North, 25 N East, 35 N South, and 35 N West.
a. Find the resultant force on the mass.
b. Find the acceleration of the mass.
c. What equilibrium force will sustain equilibrium?
d. What will be the acceleration of the object if it’s mass doubles?
e. Find the equilibrium force if all the initial forces are doubled.
A) Net horizontal force:
Fx= -35 + 25 + -10N
Net vertical force
Fy= 50 - 35 = 15N
Net force
F^2 = fX^2 +Fy^2
F= 18N
B.) Acceleration of system
a=18/5=3.6m/s^2
C). Equilibriant force must be equal to the net force above
F1= 18N
D.) Acceleration becomes half
a1= a/2 =1.8m/s^2
E.) Equilibrant force also doubles
F" = 2F' = 36N
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Forces with magnitudes of v = 135 newtons and u = 280 newtons act on a hook (see figure). The angle between the two forces is 45°. Find the direction and magnitude of the resultant of these forces. (Hint: Write the vector representing each force in component form, then add the vectors. Round your answers to two decimal places.)
To find the resultant force we will first find the component force of the forces given, to do this, we need to remember that any vector can be express in component form by:
[tex]\begin{gathered} \vec{v}= \\ \text{ where } \\ v\text{ is the magnitude } \\ \theta\text{ is the angle of the vector with respect to the positive x-axis.} \end{gathered}[/tex]For force u we notice that its magnitude is 280 N and its angle is zero, then we have:
[tex]\begin{gathered} \vec{u}=<280\cos0,280\sin0> \\ \vec{u}=<280,0> \end{gathered}[/tex]For force v we know that its magnitude is 135 N and its angle is 45°, then we have:
[tex]\begin{gathered} \vec{v}=<135\cos45,135\sin45> \\ \vec{v}=<95.46,95.46> \end{gathered}[/tex]Now that we have both vectors in component form we add them to get the resultant in component form:
[tex]\begin{gathered} \vec{F}=\vec{u}+\vec{v} \\ \vec{F}=<280,0>+<95.46,95.46> \\ \vec{F}=<375.46,95.46> \end{gathered}[/tex]Once we have the resultant force in component form we can find its magnitude and direction if we remember that they are given by:
[tex]\begin{gathered} F=\sqrt{F_x+F_y} \\ \theta=\tan^{-1}(\frac{F_y}{F_x}) \end{gathered}[/tex]Plugging the values we found for the components we have:
[tex]\begin{gathered} F=\sqrt{375.46^2+95.46^2} \\ F=387.41 \end{gathered}[/tex]and
[tex]\begin{gathered} \theta=\tan^{-1}(\frac{95.46}{375.46}) \\ \theta=14.27 \end{gathered}[/tex]Therefore, the magnitude of the resultant force is 387.41 N and the direction is 14.27°
A crate is at rest on an inclined plane. As the slope increases the crate remains at rest until the incline reaches an angle of 32.7° from the horizontal. At this angle the crate begins to slidedown the ramp.Draw a free body diagram of the crate just before it slides
The free body diagram of the crate can be shown as,
Here, N is the normal force acting on crate, mg is the weight of crate, f is the frictional force and theta is the angle of inclination of plane.
hii i am satyam from India and i m having doubt in this question according to me answer should be 20 % but in answer key it's 21 % how??
The formula relating kinetic energy and momentum of a particle is expressed as
KE = p^2/2m
let the actual momentum be p. Since the error measurement is 10%, the measurement of the momentum would be
p + 0.1p = 1.1p
Percentage error in the measurement of the kinetic energy is obtained by the formula,
% error = (KEf - KEi)/KEi x 100
where
KEf is the final kinetic energy measured error
KEi is the initial kinetic energy measured without error
Thus,
% error = [(1.1p)^2/2m - p^2/2m)]/p^2/2m x 100
% error = p^2/2m(1.1^2 - 1)/(p^2/2m) x 100
% error = 100(1.1^2 - 1)
% error = 21%
a wheel has a constant angular acceleration of 4 rad/s2. starting from rest, it turns through 300 rad. what is its final angular velocity? how much time elapses while it turns through the 300 radians?
If a wheel has a constant angular acceleration of 4 rad/s2. starting from rest, it turns through 300 rad , then the final angular velocity would be 48.96 rad /s and 12.24 seconds elapse while it turns through the 300 radians.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
By using the second equation of motion given by Newton,
S = ut + 1/2at²
300 = 0 + 0.5 × 4 × t²
t² =300 /2
t = 12.24 seconds
The final angular velocity = 0+ 12.24 × 4
= 48.96 rad /s
Thus, 12.24 seconds elapse while it turns through the 300 radians.
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A 0. 20-kg baseball is struck with a force of 100 n from a 0. 94-kg baseball bat. What will be the acceleration of the ball and the bat, in that order, while the bat and ball are in contact?.
The acceleration of the baseball is 500 m/s².
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull.
The mass of the baseball, m = 0.2 kg
The force acting on the baseball is 100 N.
By Newton's second law of motion,
F = ma
Substituting the values in the above equation,
100 N = 0.2 kg × a
a = 100 / 0.2
a = 500 m/s²
The total mass when the baseball and baseball bat are in contact is:
m = 0.2 + 0.94 = 1.14 kg
Then the acceleration will be:
F = ma
100 = 1.14 × a
a = 87.7 m/s²
The acceleration of the ball after the contact is 500 m/s².
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If a batter can apply the same amount of maximum force from their hands to each bat to swing it, why
would the speed of the bat swing decrease as the mass of the bat increases?
If a batter can apply the same amount of maximum force from their hands to each bat to swing it , the speed of the bat swing decrease as the mass of the bat increases because of greater moment of inertia .
Moment of inertia is directly proportional to the mass , hence if mass of the bat increased , moment of inertia will also increase and it will be more difficult to swing the bat .
hence , the speed of the bat swing decrease as the mass of the bat increases
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HELP!
Noble gases are the ____________________.
A. most reactive of all elements
B. least consistent of all elements
C. most consistent of all elements
D. least reactive of all elements
Answer: Most consistent of all elements (if consistency here denotes stability)
if not, then the answer will be (D)
Explanation:
Nobel gasses have full outermost electron shells which means that they are very stable and do not need to lose, gain, or share electrons to gain stability. So they do not react with other elements to form ionic or covalent bonds
a driver who does not wear a seat belt continues to move forward with a speed of 18.0 m/sm/s (due to inertia) until something solid like the steering wheel is encountered. the driver then comes to rest in a much shorter distance - perhaps only a few centimeters. find the net force acting on a 65.0 kgkg driver who is decelerated from 18.0 m/sm/s to rest in 5.00 cmcm .
The net force acting on: 2.113 x 10⁵ N.
First, we need to calculate the deceleration of the driver by using 3rd equation of motion: 2as = Vf² - Vi²
where,
a = deceleration = ?
s = distance = 5 cm = 0.05 m
Vf = Final Velocity = 0 m/s
Vi = Initial Velocity = 18 m/s
Therefore,
2a(0.05 m) = (0 m/s)² - (18 m/s)²
a = (- 324 m²/s²)/0.1 m
a = - 3240 m/s²
where the negative sign represents a deceleration
From Newton's Second Law of Motion:
F = ma
F = (65 kg)(-3240 m/s²)
F = - 2.106 x 10⁵ N
So, the closest answer is:
F = 2.113 x 10⁵ N
What is force ?
In physics, a force is an effect that can change the motion of an object. A force can cause an object with mass to change speed, ie. accelerate A force can also be intuitively described as a push or a pull. A force has both magnitude and direction, so it is a vector quantity.
When a body tends to change or change its state under the influence of an external cause, it is called a force. A body can also change its shape, size and direction when a force is applied. For example, kicking a ball, pulling and pushing a door.
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complete the table=x =0 2 3 4 6 8 y=30 27 24
Answer: (x=1 y=30) (x=2 y=27) (x=3 y=24) (x=4 y=21) (x=5 y=18) (x=6 y=15) (x=7 y=12) (x=8 y=9) (x=9 y=6) (x=10 y=3) etc its going down by 3 so 30-3=27 27-3=24 24-3=21 etc
hope i helped
Explanation:
The velocity-time equation for a golf cart isVA= (1 m/s) + (-0.5 m/s?)t (a) What is the cart's initial velocity? (b) What is the cart's acceleration?
If the velocity-time equation for a golf cart is v = (1 m/s) + (-0.5 m/s)t , then the initial velocity of the cart would be 1 m / s and the acceleration of the cart would be - 0.5 m / s² .
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the problem the velocity-time equation for a golf cart is
v = (1 m/s) + (-0.5 m/s)t ,
The initial velocity of the cart at t = 0 would be 1 m / s.
By differentiating the given equation of the velocity,
The acceleration of the cart would be -0.5 m / s.
Thus, the initial velocity would be 1 m / s and the acceleration would be -0.5 m / s.
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Mosses are located in which zone of deciduous forests? a. tree stratum b. ground c. shrub d. herb please select the best answer from the choices provided a b c d
Answer
Ground Zone
Explanation
The final zone is the Ground zone. It contains lichen, club mosses, and true mosses. The deciduous forest has four distinct seasons, spring, summer, autumn, and winter. In the autumn the leaves change color.
Answer: B Ground
Explanation:
The speed of sound depends on all of the following properties except:
a
Type of element
b
Composition of the medium or type of matter
c
Density
d
Temperature
Answer:
d: temperature
Explanation:
temperature doesn't have anything to do with sound
A llama runs until reaching its top speed. A graph of the llama's velocity over time is shown
below.
What is the llama's average acceleration from 15 to 20 seconds?
The average acceleration for that time interval will be zero because the velocity is constant.
What is acceleration?If an object's velocity changes, it is said to have been accelerated. An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.
What is velocity?Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster. If the two are travelling on the same route in the same direction, it is simple to determine which is quicker. It is challenging to identify who is moving the fastest when their motion is in the other direction. The concept of velocity is useful in these circumstances. Learn about the definition of velocity in this article as well as the distinction between speed and velocity.
the velocity is constant at -20 m/s. Hence the average acceleration for that time interval will be zero because the velocity is constant.
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Answer:
0
Explanation:
i did it on khan academy
If the force of gravity acting on an object is 40N and the object has a mass of 2.8k, what is the acceleration due to gravity?
Answer:
0.07
Explanation:
2.8/40 = 0.07
a car travelling at a speed of 45km/h takes 20 minutes to reach its destination.what distance has the car travelled
First, we need to do a type conversion. Because the types of the two given quantities are different. One is in minutes. The other is in hours. A vehicle that travels [tex]45[/tex] kilometers in an hour travels how many meters in a second?
[tex]45km/h=\frac{45km}{1hour} =\frac{45km.1000}{1hour.3600} =12.5m/s[/tex]A vehicle that travels [tex]12.5[/tex] meters in a second travels how many meters in [tex]20[/tex] minutes?
[tex]1200.(12.5)=15000m=15km[/tex]6. A ball rolls off a table and falls 0.75 m to the floor, landing with a speed of 4.0 m/s. 1. What is the acceleration of the ball just before it strikes the ground? 2. What was the initial speed of the ball? 3. What initial speed must the ball have if it is to land with a speed of 5.0 m/s?
1 ) Acceleration of the ball just before it strikes the ground = 10.67 m/s²
2 ) The initial speed of the ball = 1.15 m / s
3 ) The initial speed of the ball if the ball lands at 5.0 m/s = 3.2 m / s
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
a = Acceleration
s = Displacement
1 ) In vertical motion,
v = 4 m / s
s = 0.75 m
u = 0
4² = 0 + ( 2 * a * 0.75 )
a = 16 / 1.5
a = 10.67 m / s²
2 ) The initial speed of the ball,
Resolving the velocity into its horizontal and vertical components,
[tex]V_{y}[/tex]² = [tex]U_{y}[/tex]² + 2 a s
[tex]V_{y}[/tex]² = 0 + ( 2 * 9.8 * 0.75 )
[tex]V_{y}[/tex] = 3.83 m / s²
V² = [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²
4² = [tex]V_{x}[/tex]² + 3.83²
[tex]V_{x}[/tex] = √ 16 - 14.67
[tex]V_{x}[/tex] = 1.15 m / s
[tex]V_{x}[/tex] = [tex]U_{x}[/tex] = 1.15 m / s
3 ) If the ball lands with a speed of 5.0 m/s,
V² = [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²
5² = [tex]V_{x}[/tex]² + 3.83²
[tex]V_{x}[/tex] = √ 25 - 14.67
[tex]V_{x}[/tex] = 3.2 m / s
[tex]V_{x}[/tex] = [tex]U_{x}[/tex] = 3.2 m / s
Therefore,
1 ) Acceleration of the ball just before it strikes the ground = 10.67 m/s²
2 ) The initial speed of the ball = 1.15 m / s
3 ) The initial speed of the ball if the ball lands at 5.0 m/s = 3.2 m / s
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scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as , where is in nm. if a 295-nm-thick coating is placed on glass for what visible wavelengths will the reflected light have maximum constructive interference?
The wavelength of the reflected light will have a range from 360 nanometers to 700 nanometers.
Constructive Interference may be defined as the process which occurs when the maxima of any two waves add up and the amplitude of the resulting wave will be equal to the sum of the two individual waves. According to the question thickness of coating, d = 295 nm and wavelength varies as n = [(30nm) ^1/2]/λ^1/2.
Also, the wavelength will be expressed as
λ = 2nd/M where M = 1,2,3......
λ = 2d[(30nm)^1/2]/Mλ^1/2
λ^3/2 = (d60nm^1/2)/M
λ = ∛d² 3600 nm/M
Now, if M = 1 then,
λ = ∛295² 3600nm/1 = 679.18 nm
Now, if M = 2 then,
λ = ∛295² 3600nm/2 = 679.18 nm
Now, if M = 3 then,
λ = ∛295² 3600nm/3 = 326.51 nm
So, the range is approximately 360 nm to 700 nm.
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Complete Question:
Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm1/2 /l1/2, where l is in nm. If a 295-nm-thick coating is placed on glass 1n = 1.502 for what visible wavelengths will the reflected light have maximum constructive interference?
in february 1955, a paratrooper fell 370 m from an air- plane without being able to open his chute but happened to land in snow, suffering only minor injuries. assume that his speed at im- pact was 56 m/s (terminal speed), that his mass (including gear) was 85 kg, and that the magnitude of the force on him from the www.engineeringbookspdf problems 249 12.0 m/s and angle u1 35.0. just after, it is traveling directly upward with velocity of magnitude 10.0 m/s. the duration of the collision is 2.00 ms. what are the (a) magni- v : 2 snow was at the survivable limit of 1.2 105 n. what are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow?
(a)1.1 m is the minimum depth of snow that would have stopped him safely. (b)The magnitude of the impulse on him from the snow[tex]|\Delta \overrightarrow{\mathrm{p}}|[/tex] -4.8 * 10³ kg. m/s.
What is magnitude ?A key concept in science is magnitude, which is employed in physics. Magnitude describes a general amount or a distance. We can relate magnitude to size and speed of the object is motion while considering the aspects of movement. The magnitude of the an object is defined by it's own size or quantity.
Briefing:We choose +y upward, which implies a>0 (the acceleration is upward since it represents a deceleration of his downward motion through the snow).
a) The maximum deceleration a[tex]_m_a_x[/tex] of the paratrooper (of mass m and initial speed ν=56m/s ) is found from Newton’s second law
F[tex]_s_n_o_w[/tex]−mg=ma[tex]_m_a_x[/tex]
where we require F[tex]_s_n_o_w[/tex] =1.2×10⁵N . Using Eq. 2 −15ν² =2a max d , we find the minimum depth of snow for the man to survive :
[tex]\mathrm{d}=\frac{v^2}{2 \mathrm{a}_{\text {max }}}=\frac{\mathrm{m} v^2}{2\left(\mathrm{~F}_{\text {snow }}-\mathrm{mg}\right)} \approx \frac{(85 \mathrm{~kg})(56 \mathrm{~m} / \mathrm{s})^2}{2\left(1.2 \times 10^5 \mathrm{~N}\right)}=[/tex]1.1 m.
(a) He experiences a change in momentum during his brief journey through the snow.
[tex]\Delta \overrightarrow{\mathrm{p}}=\overrightarrow{\mathrm{p}}_{\mathrm{f}}-\overrightarrow{\mathrm{p}}_{\mathrm{i}}[/tex] = 0 - (85 kg)(-56m/s)= -4.8 * 10³ kg. m/s.
or[tex]|\Delta \overrightarrow{\mathrm{p}}|[/tex] = -4.8 * 10³ kg. m/s.
Because downward is the negative direction, the starting velocity has a negative value. This equals the impulse caused by the net force F[tex]_s_n_o_w[/tex]−mg according to the impulse-momentum theorem, but since F[tex]_s_n_o_w[/tex] ≫mg we can approximate this as the impulse on him just from the snow.
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The complete question is -
In February 1955, a paratrooper fell 370m from an airplane without being able to open his chute but happened to land in snow, suffering only minor injuries. Assume that his speed at impact was 56m/s (terminal speed), that his mass (including gear) was 85kg, and that the magnitude of the force on him from the snow was at the survivable limit of 1.2×10⁵ N. What are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow?
A cat wakes up in its bed and visits its food dish to the left of its bed. Positions to the right of its bed are assigned a negative value and positions to the left of its bed are assigned a positive value. Where did the cat begin and end its journey?
Time (m) 1, 2, 3, 4, 5
Position (m) 0, 2, 4, -5, -10
O The cat began its journey at its food dish and ended its journey 10 meters to the right of its bed.
O The cat began its journey in bed and ended its journey 5 meters to the left of its bed.
O The cat began its journey at its food dish and ended its journey 10 meters to the left of its bed.
O The cat began its journey in bed and ended its journey 10 meters to the right of its bed.****
The cat began its journey in bed and ended its journey 10 meters to the right of its bed.
Journey is an act of travelling from one place to another.
The cat wakes up in its bed and visits its food dish to the left of its bed.
This show that the cat's journey starts from positive value and according to the position chart it travels 2 m after waking up in the bed.Next 2 m it travels again in positive direction and reaches to value 4Then it goes towards the right side of the bed and travels to -5.It's journey ends at the right side of the bed when it reaches to value as -10.Time (m) 1, 2, 3, 4, 5
Position (m) 0, 2, 4, -5, -10
The above time table shows that the journey of the cat starts from the moment it wakes up in the bed as the timer starts the moment the cat wakes up and ends at 10 in negative direction i.e. to the right side of the bed.
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a 60- kg mountain climber moves 10 m up a vertical slope. if the muscles in her body convert chemical energy into gravitational potential energy with an efficiency of no more than 5%, what is the chemical energy used to climb the slope?
120000 Joules of Chemical Energy is used by the climber to climb the rope.
As the climber is moving up, its gravitation potential energy energy (G) will be given by,
Gravitational potential Energy = MgH
G = MgH
Where,
M is mass of climber which is 69 Kg,
g is acceleration due to gravity which is 10m/s².
H is the height above the earth's surface which is 10 meters.
It is provided that the chemical energy is converted to gravitational energy at a rate of 5%.
So, we can write,
5% Chemical energy (C) = Gravitational potential energy (G)
So,
5%C = MgH
Putting all the values,
5C/100 = 60(10)(10)
C = 120000 Joules.
The used chemical energy is 120000 Joules.
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An 85.0 kg man stands on a spring scale in an elevator when it begins to accelerate upwards. If the scale at that moment indicates that his "weight" is 1020 N, what is the acceleration of the elevator?
2.20 m/s^2 is the acceleration of the elevator.
Option c is correct answered .
What does the scale read when the elevator accelerates upward?If you stand on a scale in an elevator accelerating upward, you feel heavier because the elevator's floor presses harder on your feet, and the scale will show a higher reading than when the elevator is at rest. On the other hand, when the elevator accelerates downward, you feel lighter.
How do you find the acceleration of an elevator with weight?support force F = mass x acceleration + weight
For a mass m= kg, the elevator must support its weight = mg = Newtons to hold it up at rest. If the acceleration is a= m/s² then a net force= Newtons is required to accelerate the mass.
Fnet = m a
Fn + (-Fg) = m a
a = 1020 - (85)(9.8) /85
a = 2.20 m/s^2
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If a car travels 1,000 m in 60 seconds how fast is it going?
Answer:
see below
Explanation:
1000 m / 60 s = 16 2/3 m/s
