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Physics practice problems

Turn “I think” into “I know.” 100 questions across five topics. No timer. An explanation after every answer.

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Sample physics problems with answers

Four example problems from each topic. Try one, then reveal the answer and the explanation.

Motion
  1. An object moves at 3 m/s for 4 s. How far does it travel?

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    Answer: 12 m. For constant velocity, distance = speed × time = 3 × 4 = 12 m.

  2. Starting from rest, an object accelerates at 1 m/s² for 3 s. What is its speed?

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    Answer: 3 m/s. v = v₀ + at = 0 + 1 × 3 = 3 m/s.

  3. A ball is launched horizontally at 4 m/s. Ignoring air resistance, how far does it move horizontally in 2 s?

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    Answer: 8 m. Horizontal velocity stays constant: x = vₓt = 4 × 2 = 8 m.

  4. An object starts from rest with constant acceleration 2 m/s². What is its displacement after 1 s?

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    Answer: 1 m. x = ½at² = ½ × 2 × 1² = 1 m.

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Forces & energy
  1. A 2 kg object experiences a net force of 6 N. What is its acceleration?

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    Answer: 3 m/s². Newton’s second law gives a = Fnet/m = 6/2 = 3 m/s².

  2. Using g = 10 m/s², what is the potential energy of a 1 kg mass raised 3 m?

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    Answer: 30 J. Eₚ = mgh = 1 × 10 × 3 = 30 J.

  3. A 1 kg object travels at 4 m/s. What is its kinetic energy?

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    Answer: 8 J. Eₖ = ½mv² = ½ × 1 × 16 = 8 J.

  4. A block has a normal force of 20 N and static friction coefficient 0.5. What is its maximum static friction?

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    Answer: 10 N. Maximum static friction = μsN = 0.5 × 20 = 10 N. Actual static friction can be smaller.

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Waves
  1. A wave has frequency 1 Hz and wavelength 3 m. What is its speed?

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    Answer: 3 m/s. v = fλ = 1 × 3 = 3 m/s.

  2. A source completes 6 cycles in 3 s. What is its frequency?

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    Answer: 2 Hz. Frequency = cycles / time = 6/3 = 2 Hz.

  3. A wave travels at 8 m/s with frequency 4 Hz. What is its wavelength?

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    Answer: 2 m. λ = v/f = 8/4 = 2 m.

  4. An ideal spring has stiffness 10 N/m and is stretched 0.2 m. What is the restoring-force magnitude?

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    Answer: 2 N. |F| = k|x| = 10 × 0.2 = 2 N. The force points toward equilibrium.

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Electricity
  1. A 10 Ω resistor carries 0.2 A. What is the voltage across it?

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    Answer: 2 V. V = IR = 0.2 × 10 = 2 V.

  2. A component has 4 V across it and carries 0.5 A. How much power does it transfer?

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    Answer: 2 W. P = VI = 4 × 0.5 = 2 W.

  3. Two resistors, 10 Ω and 20 Ω, are connected in series. What is their equivalent resistance?

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    Answer: 30 Ω. In series, resistances add: 10 + 20 = 30 Ω.

  4. Two equal 20 Ω resistors are in parallel. What is their equivalent resistance?

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    Answer: 10 Ω. For two equal resistors in parallel, equivalent resistance is half either resistance: 20/2 = 10 Ω.

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Optics
  1. A ray in air meets a glass surface at an angle of 10° to the normal. What is its angle to the surface?

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    Answer: 80 °. The surface and normal are perpendicular, so the angle to the surface is 90° − 10° = 80°.

  2. An object is 10 cm from a lens with focal length 5 cm. What is the image distance?

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    Answer: 10 cm. The object is at 2f. From 1/f = 1/dₒ + 1/dᵢ, the real image is also at 2f = 10 cm.

  3. An image is 2 cm tall and its object is 1 cm tall. What is the magnitude of magnification?

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    Answer: 2 ×. |M| = image height / object height = 2/1 = 2.

  4. A converging lens forms an image with magnification −2 of an object 1 cm tall. What is the image-height magnitude?

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    Answer: 2 cm. Image-height magnitude = |M| × object height = 2 × 1 = 2 cm. The minus sign indicates inversion.

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