Physics

1. 1.

   A 0.200 kg ball moves east at 12.0 m s^-1 and rebounds west at 8.00 m s^-1 in 0.0400 s. Calculate the impulse on it and mean force, with directions.

   [3 marks]
2. 2.

   A 0.50 kg mass travels uniformly around a horizontal circle of radius 0.80 m at 4.0 m s^-1. Calculate the resultant force and explain why acceleration is nonzero.

   [3 marks]
3. 3.

   On a frictionless track a 0.60 kg cart at 5.0 m s^-1 hits a stationary 0.40 kg cart and they stick. Calculate their velocity and kinetic energy lost. External impulse during collision is negligible.

   [3 marks]
4. 4.

   A road is banked at 20.0 degrees around a curve of radius 50.0 m. Find the speed requiring no friction. Use g = 9.81 m s^-2 and model the vehicle as a particle.

   [3 marks]
5. 5.

   A bead is released from rest at height h above the bottom of a smooth vertical circular track of radius R = 0.500 m. Find the minimum h to maintain contact throughout the inside loop and the bottom speed at that h. Use g = 9.81 m s^-2; ignore bead size and losses.

   [3 marks]
6. 6.

   A stationary object splits into fragments of masses 2.0 kg and 3.0 kg on a horizontal frictionless surface. Exactly 30 J becomes kinetic energy; external impulse is negligible. Calculate each speed and describe their directions, to 2 significant figures.

   [3 marks]

Original, unofficial practice questions from SubjectScout — not official past-paper questions.