EASY
AS and A Level
IMPORTANT
Earn 100

A helter-skelter ride at a fairground consists of a spiral-shaped slide that people slide down on mats. The top of the slide is 7 m higher than the bottom. The average frictional resistance is 50 N. A boy of mass 60 kg slides down the helter-skelter, starting from rest. At the bottom of the ride the boy has speed 10 m s-1.

Find the length of the slide. (Use: g=10 m s-2)

Important Questions on The Work-Energy Principle and Power

MEDIUM
AS and A Level
IMPORTANT

A helter-skelter ride at a fairground consists of a spiral-shaped slide that people slide down on mats. The top of the slide is 7 m higher than the bottom. The average frictional resistance is 50 N. A boy of mass 60 kg slides down the helter-skelter, starting from rest. At the bottom of the ride the boy has speed 10 m s-1.

Work out the amount of mechanical energy that has been lost. (Use: g=10 m s-2)

MEDIUM
AS and A Level
IMPORTANT

A helter-skelter ride at a fairground consists of a spiral-shaped slide that people slide down on mats. The top of the slide is 7 m higher than the bottom. The average frictional resistance is 50 N. A boy of mass 60 kg slides down the helter-skelter, starting from rest. At the bottom of the ride the boy has speed 10 m s-1.

What form of energy has most of this loss of mechanical energy been changed into? (Use: g=10 m s-2)

MEDIUM
AS and A Level
IMPORTANT
A box of mass 10 kg slides 3 m down a rough slope inclined at 30° to the horizontal. At the top of the slope the speed of the box is 3.25 m s-1 and at the bottom of the slope the speed of the box is 5 m s-1. Find the coefficient of friction between the box and the slope. (Use: g=10 m s-2)
EASY
AS and A Level
IMPORTANT
A sack of mass 12 kg slides down a ramp, starting from rest at a height of 2 m above the ground. The sack reaches the ground with speed 6 m s-1. Work out the amount of mechanical energy that has been dissipated. (Use: g=10 m s-2)
MEDIUM
AS and A Level
IMPORTANT
A skydiver of mass 80 kg falls 1000 m from rest and then opens his parachute for the remaining 2000 m of his fall. Air resistance is negligible until the parachute opens. The skydiver is travelling at 5 m s-1 just before he hits the ground. Find the average resistance force when the skydiver is falling with the parachute open. (Use: g=10 m s-2)
EASY
AS and A Level
IMPORTANT
A tile of mass 1 kg slides 3 m down a roof inclined at 20° to the horizontal. The tile then falls 5 m under gravity to hit the ground with speed 10 m s-1. Find the frictional force between the tile and the roof.(Use: g=10 m s-2)
EASY
AS and A Level
IMPORTANT
A model racing car of mass 50 g is released from rest at the top of a downward-sloping track. It travels along the track under the action of gravity. The resistance to the motion of the car is 0.05 N. The car comes to a stop on a horizontal piece of track that is 2 m lower than the top of the track. Find the distance that the car has travelled.(Use: g=10 m s-2)
MEDIUM
AS and A Level
IMPORTANT
A diver jumps from a 10 m board above a swimming pool. The diver has an initial velocity of u m s-1 upwards. The horizontal component of the diver's path is negligible. A constant resistance of 0.5 N kg-1 acts on the diver. Find an expression for the height of the diver above the pool at the highest point of her dive. (Use: g=10 m s-2)