
Sam and his skateboard have a combined mass of . He accelerates from to while descending a hill. The hill is modelled as a slope at an angle of to the horizontal. The non-gravitational resistance is . The bottom of the hill is below the top of the hill. Find the increase in the kinetic energy of Sam and his skateboard. (Use )

Important Questions on Work and Energy
Sam and his skateboard have a combined mass of . He accelerates from to while descending a hill. The hill is modelled as a slope at an angle of to the horizontal. The non-gravitational resistance is . The bottom of the hill is below the top of the hill. Find the decrease in the potential energy of Sam and his skateboard. (Use: )

Sam and his skateboard have a combined mass of . He accelerates from to while descending a hill. The hill is modelled as a slope at an angle of to the horizontal. The non-gravitational resistance is . The bottom of the hill is below the top of the hill. Find the distance that the skateboard travels.
(Use: )

Sam and his skateboard have a combined mass of . He accelerates from to while descending a hill. The hill is modelled as a slope at an angle of to the horizontal. The non-gravitational resistance is . The bottom of the hill is below the top of the hill. Find the work done against resistance.

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

Kiera climbs up a ladder to sit at the top of a slide above the ground. Her potential energy increases by .
Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle to the horizontal. The resistance force is a constant . The work done against resistance by Kiera when she is sliding is . Find the length of the slide. (Use )

Kiera climbs up a ladder to sit at the top of a slide above the ground. Her potential energy increases by .
Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle to the horizontal. The resistance force is a constant . The work done against resistance by Kiera when she is sliding is .
Find the value of .

Kiera climbs up a ladder to sit at the top of a slide above the ground. Her potential energy increases by .
Kiera then slides down the slide, starting from rest. The slide is modelled as a slope at an angle to the horizontal. The resistance force is a constant . The work done against resistance by Kiera when she is sliding is . Find Kiera's speed when she reaches the bottom of the slide. (Use: )

A ramp is inclined at an angle to the horizontal. A box of mass is projected up the ramp with initial speed . The coefficient of friction between the ramp and the box is , 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: )
