How much power is needed to accelerate a 1250 kg sports car from rest to 25 m/s in 4.5 seconds?

While driving, you notice that your 1150 kg car slows down from 70 mph to 45 mph in about 4.85 s when it is in neutral.  How much horsepower is needed to keep the car moving at a constant velocity?

A Ford F-150 pickup truck has a mass of 1950 kg.   One truck is equipped with an Ecoboost 2.7 liter V6 engine that produces a useful power output of 242 kW.        (a)  How long in seconds does it take the truck to start from rest and reach a speed of 12.5 m/s, assuming no friction effects and it is traveling on a level road?       (b)  How long will it take to reach the speed of 12.5 m/s from rest, if the truck also climbs a hill that has a height of 2.75 m?

A single force F(x) = −3.7x (in newtons) acts on a 1.0 kg body. When x = 3.0 m, the speed of the body is 4.8 m/s. What is its speed (in m/s) at x = 1.7 m? m/s

A crane lifts a 10 kg crate using a constant upward force of 500 N. The crate started on the ground at rest and ended up 10m10m above the ground. The final speed of the crate is

A stone of mass 1.0 kg is dropped from rest at the top of a 100.0 meter high building. Assume there is no air resistance. What is the kinetic energy of the stone just before it strikes the ground? The following numerical values may be helpful in this question. G = 6.67 ∙10-11 N∙m2/ kg2 Earth’s mass = 5.98 · 1024 kilograms g = 9.80 m/sec2 1 kilometer = 1000 meters

A 100 kg boulder falls off the side of a cliff on Mars where the acceleration due to gravity is 3.8 m/s^2 (squared). It falls for 2 s. The equation for the distance it falls is d=1/2at^2 (squared). What is the power of the boulder after 2 s?

Sam is shooting a 10 kg rock using a catapult. The posts are 2 m apart and have an unstretched elastic band of the same length between them. The rock and band are pulled back by 1.5 m, which requires a force of 2000 N at the furthest point. How fast will the rock move when released?

A 108 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 36.4 degrees with respect to the horizontal and has a height of 1.03 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s².

A toy robot powered by an electric motor accelerates from rest to 0.740 m/s in 20.0 ms. The total mass of the robot is 825 g. What is the average power (in W) delivered to the robot by the motor during its acceleration?