EASY
AS and A Level
IMPORTANT
Earn 100

Sam and his skateboard have a combined mass of 100 kg. He accelerates from 0 m s-1 to 20 m s-1 while descending a hill. The hill is modelled as a slope at an angle of sin-10.2 to the horizontal. The non-gravitational resistance is 200 N. The bottom of the hill is 10 m below the top of the hill. Find the increase in the kinetic energy of Sam and his skateboard. (Use g=10 m s-2)

Important Questions on Work and Energy

EASY
AS and A Level
IMPORTANT

Sam and his skateboard have a combined mass of 100 kg. He accelerates from 0 m s-1 to 20 m s-1 while descending a hill. The hill is modelled as a slope at an angle of sin-10.2 to the horizontal. The non-gravitational resistance is 200 N. The bottom of the hill is 10 m below the top of the hill. Find the decrease in the potential energy of Sam and his skateboard. (Use: g=10 m s-2)

EASY
AS and A Level
IMPORTANT

Sam and his skateboard have a combined mass of 100 kg. He accelerates from 0 m s-1 to 20 m s-1 while descending a hill. The hill is modelled as a slope at an angle of sin-10.2 to the horizontal. The non-gravitational resistance is 200 N. The bottom of the hill is 10 m below the top of the hill. Find the distance that the skateboard travels.

(Use: g=10 m s-2)

 

EASY
AS and A Level
IMPORTANT

Sam and his skateboard have a combined mass of 100 kg. He accelerates from 0 m s-1 to 20 m s-1 while descending a hill. The hill is modelled as a slope at an angle of sin-10.2 to the horizontal. The non-gravitational resistance is 200 N. The bottom of the hill is 10 m below the top of the hill. Find the work done against resistance.

EASY
AS and A Level
IMPORTANT

Kiera climbs up a ladder to sit at the top of a slide 2 m above the ground. Her potential energy increases by 1280 J. Find Kiera's weight.

EASY
AS and A Level
IMPORTANT

Kiera climbs up a ladder to sit at the top of a slide 2 m above the ground. Her potential energy increases by 1280 J.

Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle θ to the horizontal. The resistance force is a constant 20 N. The work done against resistance by Kiera when she is sliding is 80 J. Find the length of the slide. (Use g=10 m s-2)

EASY
AS and A Level
IMPORTANT

Kiera climbs up a ladder to sit at the top of a slide 2 m above the ground. Her potential energy increases by 1280 J.

Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle θ to the horizontal. The resistance force is a constant 20 N. The work done against resistance by Kiera when she is sliding is 80 J.

Find the value of θ.

MEDIUM
AS and A Level
IMPORTANT

Kiera climbs up a ladder to sit at the top of a slide 2 m above the ground. Her potential energy increases by 1280 J.

Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle θ to the horizontal. The resistance force is a constant 20 N. The work done against resistance by Kiera when she is sliding is 80 J. Find Kiera's speed when she reaches the bottom of the slide. (Use: g=10 m s-2)

MEDIUM
AS and A Level
IMPORTANT

A ramp is inclined at an angle sin-10.1 to the horizontal. A box of mass 40 kg is projected up the ramp with initial speed 5 m s-1. The coefficient of friction between the ramp and the box is 0.05, and no other resistance forces act.

Find the acceleration of the box, stating its direction. The box comes to rest when it reaches the top of the ramp. (Use: g=10 m s-2)