Astrophysics: Friction, Potential Energy, and Kinetic Energy

1. A spring with k = 40.0 N/m is at the base of a frictionless 30.0° inclined plane. A 0.50-kg object is pressed against the spring, compressing it 0.20m from its equilibrium position. The object is then released. If the object is not attached to the spring, how far up the incline does it travel before coming to rest and then sliding back down? Please see the attached document for an illustration.

2. Calculate the change in potential energy of 1 kg of water as it passes over Niagara Falls ( a vertical descent of 50m) b) At what rate is gravitational potential energy lost by the water of the Niagara River? The rate of flow is 5.5 x 10 kg/s. c) If 10% of this energy can be converted into electrical energy, how many households would the electricity supply? (An average household uses an average electrical power of about 1kW.

3. A 0.010-kg bullet traveling horizontally at 400.0 m/s strikes a 4.0-kg stuffed bunny sitting at the edge of a table. The bullet is lodged into the stuffed bunny. If the table height is 1.2m, how far from the table does the block hit the floor?

4. A pole-vaulter converts the kinetic energy of running to elastic potential energy in the pole, which is then converted to gravitational potential energy. If a pole-vaulter's center of gravity is 1.0m above the ground while he sprints at 10.0 m/s, what is the maximum height of his center of gravity during the vault? For an extended object, the gravitational potential energy is U=mgh, where h is the height of the center of gravity.
( In 1988, Sergei Bubka was the first pole-vaulter ever to clear 6m).

5. A 75-kg man is at rest on ice skates. A 0.20-kg ball is thrown to him. The ball is moving horizontally at 25 m/s just before the man catches it. How fast is the man moving just after he catches the ball?

A m1 = 49.0 kg block and an m2 = 103.0 kg block are connected by a string as in Figure P7.28. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 49.0 kg block and incline is 0.250. Determine the change in the kineticenergy of the 49.0 kg block as it moves from A to B, a distance o

Find the Following:
A. What is the kineticenergy of the crate as it slides on the upper surface?
B. While the crate slides along the upper surface, how much gravitational potentialenergy does it have compared to what it would have on the lower surface?
C. What is the speed of the crate when it arrives at the lower sur

A fun-loving 11.4 kg otter slides up a hill and then back down to the same place.
she starts up at 5.75m/s and returns at 3.75m/s , how much mechanical energy did she lose on the hill?
change of (E (mech))= ? J
what happened to the energy?

Starting from rest at a height equal to the radius of the circular track, a block of mass 30 kg slides down a quarter circular track under the influence of gravity with friction present (of coefficient mu). The radius of the track is 35 m.
The acceleration of gravity is 9.8 m/s^2.
If the kineticenergy of the block at the bo

Question: A 16-kg sled is being pulled along the horizontal snow-covered ground by a force of 24 N. Starting from rest, the sled attains a speed of 2.0 m/s in 8.0 m. Find the coefficient of kinetic friction between the runners of the sled and the snow.

According to the principle of conservation of energy, when a child plays on a swing the potentialenergy he possesses at the top of his path is converted to kineticenergy as he falls and back to potentialenergy as he swings up on the other side. According to this description, a child should be able to swing indefinitely withou

A block of mass M slides along a horizontal table with speed Vo. At x=0 it hits a spring constant k and begins to experience a frictional force. The coefficient of friction is a variable and is given by u=bx, where b is a constant. Find the loss in mechanical energy when the block has come momentarily to rest.

A 0.510 kg wood block is firmly attached to a very light horizontal spring (k = 190 N/m). It is noted that the block-spring system, when compressed 5.0 cm and released, stretches out 2.3 cm beyond the equilibrium position before stopping and turning back. What is the coefficient of kinetic friction between the block and the tabl

A spring of constant k, compressed a distance x, is used to launch a mass m up a frictionless slope that makes an angle "theta" with the horizontal. Find an expression for the maximum distance along the slope that the mass moves after leaving the spring? How is the expression modified when you include kinetic friction in the pro