← Year 10 Physics

Year 10 Physics: recap

Answer each question in your head or on paper first, then check it.

Newton's laws

1. What is the net force?

Try firstA cyclist pedals with a forward force of 120 N. Air resistance is 70 N and friction 20 N. Find the net force and say what happens to her speed.

Check your answer

120 − (70 + 20) = 30 N forward: she speeds up.

A force is a vector: it has a size and a direction. Along one line, forces pointing the same way add, and forces pointing opposite ways subtract.

What is left is the net force, in the direction of the bigger side. A net force changes motion; a net force of zero leaves it unchanged.

A driving force of 1200 N against 500 N of air resistance and 300 N of rolling resistance: a net force of 400 N forward.
A driving force of 1200 N against 500 N of air resistance and 300 N of rolling resistance: a net force of 400 N forward.
Net force · Sound on for the voiceover
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2. Does a moving thing need a push?

Try firstA spacecraft coasts through empty space with its engines off. Describe its motion and explain.

Check your answer

It keeps moving at a constant velocity: there is no net force (no friction or air resistance), so by the first law its motion doesn't change.

Newton's first law: an object stays at rest or keeps moving at a constant velocity unless a net force acts on it.

Moving things don't need a push to keep going; they need a force to change their motion. Friction and air resistance are why everyday things slow down.

Newton's first law · Sound on for the voiceover
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3. What is acceleration, exactly?

Try firstA sprinter goes from 0 to 9 m/s in 3 s. What is her acceleration?

Check your answer

a = (9 − 0) ÷ 3 = 3 m/s², forwards.

Acceleration is the rate of change of velocity: a = Δv ÷ Δt, in m/s². It points the same way as the net force; slowing down is acceleration backwards.

On a speed–time graph, acceleration is the gradient. A steady speed means zero acceleration, however fast.

Net force 8 N on 2 kg: acceleration 4 m/s², in the direction of the net force.
Net force 8 N on 2 kg: acceleration 4 m/s², in the direction of the net force.
Acceleration · Sound on for the voiceover
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4. How hard do you need to push?

Try firstWhat acceleration does a net force of 30 N give a 6 kg trolley?

Check your answer

a = F ÷ m = 30 ÷ 6 = 5 m/s², in the direction of the net force.

Newton's second law: F = ma. F is the net force (N), m the mass (kg), a the acceleration (m/s²), in the direction of the net force.

Double the net force, double the acceleration; double the mass, half the acceleration.

F = ma: the same 8 N on twice the mass (4 kg) gives half the acceleration, 2 m/s².
F = ma: the same 8 N on twice the mass (4 kg) gives half the acceleration, 2 m/s².
F = ma · Sound on for the voiceover
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5. Push the wall, and it pushes you?

Try firstA swimmer pushes the water backwards. Name the other force in the pair, and say which way it acts and on what.

Check your answer

The water pushes the swimmer forwards, on the swimmer, with a force of the same size.

Newton's third law: when A pushes or pulls B, B pushes or pulls A with a force of the same size in the opposite direction.

The two forces act on different objects, so they never cancel. Balanced forces (weight and support on a book) act on the same object and are not a third-law pair.

The forces on a book: the Earth pulls it down; the table pushes it up. These two balance, but they are not a third-law pair: they both act on the book.
The forces on a book: the Earth pulls it down; the table pushes it up. These two balance, but they are not a third-law pair: they both act on the book.
Newton's third law · Sound on for the voiceover
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6. What forces act on it?

Try firstA 1000 kg car has 3000 N of driving force and 1000 N of drag. Find the net force and the acceleration.

Check your answer

2000 N forward; a = 2000 ÷ 1000 = 2 m/s².

A free body diagram shows one object and every force acting on it, as labelled arrows from the object.

Work out the net force in each direction separately. Zero in every direction: no change in motion. A net force: the object accelerates that way, a = F ÷ m.

A free body diagram of a sled: weight and the snow's push up balance; the rope's pull (60 N) is bigger than friction (40 N), so there is a net force of 20 N forward.
A free body diagram of a sled: weight and the snow's push up balance; the rope's pull (60 N) is bigger than friction (40 N), so there is a net force of 20 N forward.
Free body diagrams · Sound on for the voiceover
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7. Solving force and motion problems

Try firstA 50 kg skateboarder is pushed with a net force of 100 N from rest. How fast is she moving after 4 s?

Check your answer

a = 100 ÷ 50 = 2 m/s². After 4 s: 2 × 4 = 8 m/s.

A routine: net force, then F = ma, then a = Δv ÷ t, then check the answer and the units. On a speed–time graph the gradient is the acceleration.

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8. Newton's laws in the real world

Try firstA car stops from 20 m/s in 0.5 s with one crumple zone, and in 1.0 s with a better one. By what factor does the force on the occupants change?

Check your answer

It halves. Twice the time means half the acceleration, so half the force.

Newton's laws explain design: seat belts (first law), airbags and crumple zones (second law: a longer stopping time means a smaller force), rockets (third law), and a spearthrower, which lengthens the push on the spear so it leaves faster.

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