Newton's Three Laws of Motion — Practice · Grade 12 Science

Chapter: Forces, Rotation & Equilibrium

What this practice covers

By the end of Newton's Three Laws of Motion you should be able to:

10 questions, numeric, multiple choice and written answer, each with a worked explanation.

Vocabulary used: inertia, Newton's first law, Newton's second law, Newton's third law, newton (N).

Problem 1

A net force of 36 N acts on a 4 kg block on a frictionless surface. Find its acceleration.
Answer and explanation

9 m/s²

a = ΣF ÷ m = 36 ÷ 4 = 9 m/s².

Problem 2

A club strikes a 0.045 kg golf ball, giving it an acceleration of 2,000 m/s². What net force did the club apply?
Answer and explanation

90 N

ΣF = ma = 0.045 × 2,000 = 90 N.

Problem 3

A book rests on a table. Earth pulls the book down with the force of gravity. According to Newton's third law, what is the reaction force to this pull?
  1. The book pulling up on the Earth
  2. The book's inertia
  3. The table pushing up on the book
  4. The book pushing down on the table
Answer and explanation

The book pulling up on the Earth

A third-law pair acts on two different objects. If Earth pulls the book down, the reaction is the book pulling Earth up. (The table's push is a separate force, not the reaction to gravity.)

Problem 4

A 1,000 kg elevator rises at a constant velocity. What is the net force on it?
  1. Greater than its weight
  2. Zero
  3. 9,800 N upward
  4. 1,000 N upward
Answer and explanation

Zero

Constant velocity means zero acceleration, so by ΣF = ma the net force must be zero — the cable tension exactly balances the weight.

Problem 5

Explain, using Newton's first law, why a passenger's head snaps backward when a car is rear-ended and lurches forward.
Answer and explanation

Before the impact the passenger's head is at rest. When the car and seat are suddenly pushed forward, the head tends to stay where it was because of inertia (Newton's first law), so it lags behind the moving body and appears to snap backward. A headrest supplies the force needed to accelerate the head along with the body, preventing whiplash.

Problem 6

Two horizontal forces act on a 5 kg object on frictionless ice: 40 N east and 15 N west. Find the object's acceleration.
Answer and explanation

5 m/s²

Net force = 40 − 15 = 25 N east. a = ΣF ÷ m = 25 ÷ 5 = 5 m/s² east.

Problem 7

A 3 kg object accelerates at 2 m/s². Find net force. Show the reasoning, not just the conclusion.
Hints

The reaction to a push acts on the other object, not automatically in this force sum.

Answer and explanation

F_net=ma=6 N in the acceleration direction.

Problem 8

How can a small car and heavy truck exert equal collision forces but have different accelerations?
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

Their interaction forces are equal and opposite; acceleration magnitude depends on each mass.

Problem 9

Interaction partners belong on different free-body diagramsInteraction partners belong on different free-body diagramsbody Abody BB acts on A rightA acts on B leftEqual and opposite; different receiving bodies.
Original separated-body interaction diagram; arrow locations separate labels and are not a contact-geometry claim.
Interpret the supplied visual. Do equal interaction forces require equal accelerations of A and B?
Answer and explanation

No. Different masses can have different accelerations under equal-magnitude forces, and other forces may also act.

Newton’s third law pairs the force B exerts on A with the force A exerts on B. Their magnitudes match and directions oppose, but they act on different bodies. They therefore do not cancel when calculating the acceleration of A alone. In a combined A+B system these mutual forces are internal and cancel in the total external-force account. Identify the agent and receiving body for every arrow before deciding which sum it belongs in.

No. Different masses can have different accelerations under equal-magnitude forces, and other forces may also act.

Response criteria

  • Interpret labels, structures, axes, units and directions correctly.
  • Explain the physical or environmental relationship or mechanism.
  • Respect stated assumptions and distinguish observation from inference.

Problem 10

A 4 kg cart has forces 18 N east and 6 N west. Find acceleration and the partner of the 18 N force.
Answer and explanation

Net=12 N east; a=3 m/s² east. Its third-law partner is the cart’s 18 N force on the pulling agent, not the 6 N resistance on the cart.

Net=12 N east; a=3 m/s² east.

Its third-law partner is the cart’s 18 N force on the pulling agent, not the 6 N resistance on the cart.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the physical or environmental mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

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