Mechanics | Relativity Answers

6. A 5 kg bowling ball is dropped from the top of a 50 m high building.
a.How much potential energy does the bowling ball have before it is dropped?
b.How fast will it be moving when it hits the ground?

2.A bike rider approaches a hill with a speed of 8.5m/s. The total mass of the bike and rider is 85kg.
a.Find the kinetic energy of the bike and rider before going up the hill.
b.The rider coasts up the hill. Assuming there is no friction, at what height will the bike come to a stop?
c.Does your answer depend on the mass of the bike and rider? Explain.

5. A bike rider approaches a hill with a speed of 8.5m/s. The total mass of the bike and rider is 85kg.
a. Find the kinetic energy of the bike and rider before going up the hill.
b. The rider coasts up the hill. Assuming there is no friction, at what height will the bike come to a stop?
c. Does your answer depend on the mass of the bike and rider? Explain.
6. A 5 kg bowling ball is dropped from the top of a 50 m high building.
A) How much potential energy does the bowling ball have before it is dropped?
B) How fast will it be moving when it hits the ground?
7. An 80.0 kg student running at 3.5 m/s grabs onto a rope that it hanging vertically.
a. How much kinetic energy does the student have prior to grabbing the rope?
b. How high will the student swing?
8. Tarzan, mass 85kg, swings down from a tree limb. His feet touch the ground 4.0 m below the limb. How fast was Tarzan moving when he hit the ground?

1A 50 kg gorilla is sitting on the limb of a tree 3 meters above the ground.
a) Find the potential energy of the gorilla sitting in the tree.
b) The gorilla jumps down from the tree limb to the ground. Use the conservation of energy to find the velocity of the gorilla just before hitting the ground.
c) Use the conservation of energy to explain why the total energy of the gorilla is 1470 J at 1 m above the ground.
d) The gorilla, feeling exuberant, throws a 0.50 kg banana straight up in the air from the ground with an initial energy of 30 J. How high will the banana travel up?

explain how technology can be used to enhance practical science

loads of 50g 80g and 100g are placed at the 12cm 22cm and 62cm marks of a uniform meter stick. If the stick is supported at its midpoint. What load must be suspended at the 100cm mark to maintain equilibrium?

A body travels 15 m from A to B and then moves 20 m at right angle to AB. Draw the motion of the body from initial till final position and Calculate the distance and displacement travelled by the body.

A 500-ton train and collides with a buffer stop while traveling at 2 m/s. A buffer stop is a safety device and is designed to stop trains in case of brake failures. The mass of the buffer stop is 1.5 tons. It acts as a spring with a spring constant k = 1 x 106 N/m.

a. Estimate the mean deceleration, in [m/s2], experienced by the train as it is halted.

b. Estimate the distance, in [m], by which the buffer stop spring is compressed.

A 50 kg child climbs a 11.5-meter ladder to the top of a slide in 60 seconds.

a. As the boy slides down the slide and reaches the bottom, his speed is 12 m/s and the distance traveled along the slide is 108 m. Determine the average frictional force, in [N], acting on the boy?

b. Find the average power in [W].

c. As the child slides down the slide and reaches the bottom, his speed is 12 m/s and the distance traveled along the slide is 108 m. Find the mechanical energy, in [J], lost by the child in sliding down the slide.

d. Find the gained potential energy in [J].