A rubber ballI, with a mass of 40.0 grams is dropped from rest from a height of 1.20 m above the floor. It hits the floor, and then reaches a maximum height of 80.0 cm when it comes back up again. In this problem, use g = 10.0 m/s?. (a) The collision with the floor causes some mechanical energy to be lost (this energy generally ends up as thermal energy). How much mechanical energy is lost in this case? (b) What is the ball's speed, just as it leaves the floor on its way up? m/s (c) What is the magnitude of the impulse experienced by the ball for the entire time it is in contact with the floor? kg • m/s

For exercise, an athlete lifts a barbell that weighs 400 N from the ground to a height of 2.20 m at a constant speed in a time of 1.60 s. What is the metabolic energy, in kJ (kiloJoule)? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A 2.0 kg object travels along the x-axis. A single conservative force acts on the object. The potential energy U associated with the force is shown in the graph as a function of x. The particle is at rest at x = 0.0 m. What is the speed of the particle at x = 9.0 m? (Enter your answer in units of m/s. Only enter the number using 2 significant figures.)

7. A 2.5kg block slides along a frictionless surface with a speed of 4 m/s. The blocks slides along until itmakes contact with a spring, compressing the spring 15 cm from its rest length at which point the block ismomentarily at rest. (a) how much energy is stored in the spring? (b) what is the spring constant?

A 1-kilogram rock is thrown directly downward from the top of a 70-meter-tall building with an initial speed of 10 meters per second. If the rock reaches the ground with a speed of 30 meters per second, how much mechanical energy was converted to other forms of energy due to drag force?

A child of mass m = 25 kg starts from rest and slides without friction from a height h along a slide next to a pool. She is launched from a height into the air over the pool. (a) Using conservation of energy, find the speed of the child at the end of the slide. (b) Using your result of part (a) and eguations related to a projectile, find ymax as shown in the picture, in terms of h and 0. h Ymax th/5

A 1100 kg car drives up a hill that is 16.2m high. During the drive, two nonconservative forces do work on the car: (i) the force of friction, and (ii) the force generated by the car's engine. The work done by friction is −2.91×105J; the work done by the engine is 6.74×105JFind the change in the car's kinetic energy from the bottom of the hill to the top of the hill

Explorers in the jungle find an ancient monument in the shape of a large isosceles triangle as shown in the figure below. The monument is made from tens of thousands of small stone blocks of density 3 293 kg/m. The monument is 14.0 m high and 64.0 m wide at its base and is everywhere 2.50 m thick from front to back. Before the monument was built many years ago, all the stone blocks lay on the ground. How much work did laborers do on the blocks to put them in position while building the entire monument? Note: The gravitational potential energy of an object-Earth system is given by U, = Mgy CM, where M is the total mass of the object and yCM is the elevation of its center of mass above the chosen reference level.

The specialty of an athlete on the women's track team is the pole vault. She has a mass of 60 kg and her approach speed is 8.7 m/s. When she is directly above the bar, her speed is 1.3 m/s. Neglecting air resistance and any energy absorbed by the pole, determine the amount(in m) she has raised herself as she crosses the bar.   Answer in Meters.

A spring-loaded toy gun is used to launch a 10 g plastic ball.  The spring, which has a spring constant of 10N/m is compressed by 10 cm as the ball is pushed into the barrel.  When the trigger is pulled, the spring is released and shoots the ball back out horizontally.  a) What is the ball's speed as it leaves the barrel?  Assume the friction is negligible. b) If the toy gun was shot vertically upward, how high would the ball go?  Use energy concepts.