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Forces, motion and energy · Discover & try

How do force and mass change acceleration?

Reading level 3 of 5 · IndependentChange
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A push can change a cart’s speed. The same push changes a light cart’s speed more quickly than a heavy cart’s. A stronger push can make the heavy cart gain speed faster. This change in speed each second is acceleration. Divide the net push by the cart mass to calculate it. Newton’s second law gives a = Fnet ÷ m for constant mass. A two-kilogram cart with a four-newton net force accelerates at two metres per second squared. The velocity grows steadily under that constant force, while displacement grows more quickly because the cart covers more ground each second.

Word help
Newton

The force unit that accelerates one kilogram at one metre per second squared.

Mass

A measure of resistance to acceleration.

Net force

The directional sum of external forces.

Watch · Try · Explain

See how it works

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Calculated constant-force motion from rest, with friction and rotation omitted.

What to look for
  • It gains 2 m/s of speed each second.
  • It gains only 1 m/s each second; the push has not changed.
  • The heavier cart now gains speed as quickly as the first light cart.
Explain what you noticed

A separate 3 kg cart experiences a constant net force of 9 N. What is its acceleration?

Keep this idea: For a fixed mass, acceleration follows net force; for a fixed net force, more mass means less acceleration.

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Keep following the idea

Why does a moving object not always need another push?

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