An 85.0-kg mountain climber plans to swing down, starting from rest, from a ledge using a light rope 6.50 m long. he holds one e
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Answer:
Explanation:
We have given mass m=0.155 kg
Force constant K = 305 N/m
Distance
Velocity
The total energy at any position of the motion is give by here
is energy due to motion and
is energy due to spring elongation
So total energy
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The power is
Explanation:
First of all, we need to find the acceleration of the car, which is given by
where
v = 60 mph = 26.8 m/s is the final velocity
u = 0 is the initial velocity
t = 10.0 s is the time
Substituting,
Now we can find the mass of the car by using Newton's second law:
where
F = 5300 N is the force applied
m is the mass
is the acceleration
Solving for m,
Now we can use the work-energy theorem, which states that the work done is equal to the change in kinetic energy of the car, to find the work:
And substituting,
Finally, we can find the power output of the car:
where
W is the work
t = 10.0 s is the time elapsed
Substituting,
Learn more about power:
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