Grade 6 · Science

Combine forces along a line

Calculate a net force from stated opposite directions and distinguish balance from rest.

6 authored questions + worked example

Worked example

A cart has a 7 N force right and a 3 N force left. What is the net force?

Answer & why

Answer: 4 N right

The opposite forces subtract: 7 − 3 = 4 N toward the larger rightward force.

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All questions

All 6 authored questions for this skill.

Question 1

A cart has 6 N left and 6 N right. What is its net horizontal force?

  1. 12 N left
  2. 0 N
  3. 12 N right
  4. 6 N left
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: 0 N

Equal opposite forces balance.

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Question 2

An object is already moving at constant speed in a straight line. Its net force stays zero. Which prediction fits this ideal model?

  1. It keeps the same velocity.
  2. It must speed up.
  3. It must reverse direction.
  4. It must stop immediately.
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: It keeps the same velocity.

Zero net force means no acceleration in the stated reference frame.

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Question 3

A 2 kg cart has a net force of 8 N. Using acceleration = force ÷ mass, what is its acceleration?

  1. 16 m/s²
  2. 0.25 m/s²
  3. 6 m/s²
  4. 4 m/s²
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: 4 m/s²

8 N ÷ 2 kg = 4 m/s².

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Question 4

The same net force acts on a 2 kg cart and a 4 kg cart. Using acceleration = force ÷ mass, which has greater acceleration?

  1. The 4 kg cart.
  2. The 2 kg cart.
  3. They must have equal acceleration.
  4. Neither can accelerate.
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: The 2 kg cart.

Dividing a fixed force by the smaller mass gives the larger acceleration.

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Question 5

A cart has a 7 N force right and a 3 N force left. What is the net force?

  1. 10 N right
  2. 4 N right
  3. 4 N left
  4. 0 N
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: 4 N right

The opposite forces subtract: 7 − 3 = 4 N toward the larger rightward force.

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Question 6

Two forces act right: 4 N and 5 N. No other horizontal force acts. What is the net horizontal force?

  1. 9 N right
  2. 0 N
  3. 9 N left
  4. 1 N right
A hint

Add forces in the same direction and subtract opposite forces; zero net force does not by itself mean zero speed.

Answer & why

Answer: 9 N right

Forces in the same direction add: 4 + 5 = 9 N.

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