Forces, energy and power test questions

1

Four skiers, each of mass 80 kg are roped together and the first one falls into a crevasse. Assume the connecting rope is of negligible mass and there is no friction.

Skier falling down crevasse

What is the weight of the fallen skier?

2

Four skiers, each of mass 80 kg are roped together and the first one falls into a crevasse. Assume the connecting rope is of negligible mass and there is no friction.

Skier falling down crevasse

What is the force acting on all three others?

3

Four skiers, each of mass 80 kg are roped together and the first one falls into a crevasse. Assume the connecting rope is of negligible mass and there is no friction.

Skier falling down crevasse

What total mass must this force accelerate?

4

Four skiers, each of mass 80 kg are roped together and the first one falls into a crevasse. Assume the connecting rope is of negligible mass and there is no friction.

Skier falling down crevasse

What is the acceleration of the group?

5

A pickup of mass 1200 kg is parked on a slope.

A truck weighing 1,200 kg driving on a road uphill at a 10 degree angle.

What is the component of the weight acting parallel to the slope? This needs to be resisted by the friction of the tyres.

6

The lift in a department store has a mass of \(1500kg\) and is initially at rest. The lift accelerates downwards at \(1.8m{s^{ - 2}}\) for \(0.5s\). It then travels at a constant speed for \(8.5s\) before coming to rest uniformly in a time of \(0.5s\).

What is the unbalanced force acting on the lift as it accelerates downwards?

7

The lift in a department store has a mass of \(1500kg\) and is initially at rest. The lift accelerates downwards at \(1.8m{s^{ - 2}}\) for \(0.5s\). It then travels at a constant speed for \(8.5s\) before coming to rest uniformly in a time of \(0.5s\).

What is the unbalanced force acting on the lift as it travels down at a constant speed?

8

The lift in a department store has a mass of \(1500kg\) and is initially at rest. The lift accelerates downwards at \(1.8m{s^{ - 2}}\) for \(0.5s\). It then travels at a constant speed for \(8.5s\) before coming to rest uniformly in a time of \(0.5s\).

What is the unbalanced force acting on the lift as it is brought to rest?

9

A car of mass \(1100kg\) accelerates uniformly from rest to \(20m{s^{ - 1}}\) over a distance of \(133m\).

What is the kinetic energy of the car at the end of the journey?

10

A car of mass \(1100kg\) accelerates uniformly from rest to \(20m{s^{ - 1}}\) over a distance of \(133m\).

What is the resultant force on the car during the acceleration?