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Lesson 13 of 14

8 min

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Here are the ten rules first. Use them if a question feels hard.

How Forces Affect Motion: ten rules, from no force to joined boxes
IdeaThe rule
No force, no changeAn object at rest stays at rest unless a net force acts. A moving object keeps a constant velocity unless a net force acts.
Inertia and massInertia is an object's tendency to resist a change in its motion. A larger mass has more inertia.
Force and accelerationNet force equals mass times acceleration, F = ma. One newton gives 1 kg an acceleration of 1 m/s².
Friction with numbersFriction acts against the motion, or against the push when nothing moves. Net force is the push minus the friction. Equal forces leave the motion unchanged.
Action and reactionIf A pushes B, B pushes A equally the other way. The two forces act on different objects.
Equal forces, unequal motionThe two forces of a pair are equal. They act on different objects, so they do not cancel. If nothing else pushes, the lighter object accelerates more.
Softening a stopThe velocity drops by the same amount. A longer stopping time means a smaller acceleration. So the average force needed is smaller.
Which law answersFirst law: no net force, no change in velocity. Second law: F = ma. Third law: forces come in equal, opposite pairs.
Force from a graphThe slope of a velocity–time graph is the acceleration. Then net force = mass × acceleration.
Two boxes, one systemBoxes joined by a light, tight string move as one system. On a smooth floor, acceleration = outside pull ÷ total mass.

A skater glides at 4 m/s. The net force on her is zero. What happens next?

  • She slows down, since nothing pushes her
  • She speeds up
  • She keeps moving at 4 m/s

Compare a 4 kg bag with a 9 kg suitcase. Which resists a change in motion more?

  • The 9 kg suitcase
  • The 4 kg bag
  • They resist equally

A net force of 45 N acts on a 9 kg trolley. What is its acceleration?

  • 54 m/s²
  • 405 m/s²
  • 5 m/s²

A 30 kg cart is pulled with 50 N. Friction on it is 35 N. What is the net force?

  • 50 N
  • 15 N
  • 85 N

A hand pushes a door with 20 N. What does the door do to the hand?

  • Pushes with 20 N, the other way
  • Pushes with less than 20 N
  • Pushes with nothing at all

A spring pushes two carts apart with 12 N each. One is 2 kg, one is 6 kg. Nothing else pushes them. Which speeds up more?

  • The 6 kg cart
  • Both the same
  • The 2 kg cart

Why do high jumpers land on a thick mat?

  • The mat lowers the jumper's mass
  • A longer stop needs a smaller average force
  • The mat makes the fall shorter

A skater pushes a wall and rolls backwards. Which law explains it?

  • The third law
  • The first law
  • The second law

A 2 kg trolley gains 6 m/s in 3 s, from rest. What is the net force?

  • 12 N
  • 4 N
  • 18 N

A light string ties two boxes, 3 kg and 7 kg. The floor is smooth. A 30 N pull acts on one. What is a?

  • 10 m/s²
  • 4.3 m/s²
  • 3 m/s²

This is Chapter 6 of your Class 9 book, Exploration. It is called How Forces Affect Motion. Read it this week.

Next is Work, Energy, and Simple Machines. It asks what a force can do when it moves something.

Reveal every answer to finish this lesson.