Circular Motion Equations Worksheet
Practice uniform circular motion with 10 problems covering centripetal acceleration, centripetal force, angular velocity, and period. Full solutions included.
View worksheet →Momentum and Impulse Equations Worksheet
Practice momentum and impulse problems including conservation of momentum in elastic and inelastic collisions. 10 problems with full worked solutions.
Equations you will need
| p = mv | Momentum |
| J = FΔt = Δp | Impulse = force × time = change in momentum |
| m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂ | Conservation of momentum |
Symbol key
| Symbol | Quantity | Unit |
|---|---|---|
| p | momentum | kg·m/s |
| m | mass | kg |
| v | velocity | m/s |
| J | impulse | N·s |
| F | force | N |
| Δt | time interval | s |
Practice problems
Attempt each problem on paper first, then click Show answer to check your working.
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A 2 kg ball moves at 5 m/s. Find its momentum.
Show answer
p = mv = 2 × 5 = 10 kg·m/s -
A 0.15 kg baseball changes velocity from -30 m/s to +40 m/s. Find the impulse.
Show answer
J = Δp = 0.15(40 - (-30)) = 10.5 N·s -
A 1500 kg car decelerates from 20 m/s to 0 in 4 s. Find the average braking force.
Show answer
F = Δp/Δt = (1500 × -20)/4 = -7500 N -
A 5 kg trolley at 4 m/s collides with a stationary 3 kg trolley and they stick. Find the final speed.
Show answer
(5)(4) = 8v → v = 2.5 m/s -
A 2 kg ball at 6 m/s hits a 4 kg ball at rest elastically. Find both final speeds.
Show answer
v₁ = ((2-4)/6)(6) = -2 m/s; v₂ = ((2×2)/6)(6) = 4 m/s -
A bullet of 0.02 kg fired at 400 m/s into a 4 kg block at rest. Find the final common velocity.
Show answer
(0.02)(400) = 4.02v → v = 1.99 m/s -
A 70 kg skater pushes off a 50 kg skater, who moves at 2 m/s. Find the first skater's recoil speed.
Show answer
0 = 70v + 50(2) → v = -1.43 m/s -
Find the impulse from a 50 N force applied for 0.4 s.
Show answer
J = FΔt = 50 × 0.4 = 20 N·s -
A 0.05 kg ball hits a wall at 20 m/s and bounces back at 18 m/s. Find the impulse on the ball.
Show answer
J = 0.05(-18 - 20) = -1.9 N·s -
A 1000 kg rocket fires ejecting 50 kg of gas at 200 m/s. Find rocket recoil speed.
Show answer
0 = 950v + 50(200) → v = -10.5 m/s
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View worksheet →About this worksheet
This momentum and impulse equations worksheet covers the essential equations for mechanics at the A-Level / AP Physics 1 level. Every problem has been written to mirror the style and difficulty of real exam questions, with full algebraic working shown in the solutions.
If you find these problems too straightforward, try the more advanced worksheets in the same topic listed above. If they feel too difficult, start by reviewing the equation definitions in the box at the top of this page and then return to question 1.