Practice Problems

1. A 2 kg mass slides down a frictionless incline of 30° and length 5 m. Find its speed at the bottom.
2. A 0.5 kg mass attached to a spring with k = 100 N/m oscillates with amplitude 0.1 m. Find maximum velocity.
3. A 1 kg ball rotates in a horizontal circle of radius 0.25 m at 5 m/s. Find the angular speed.
4. A car of mass 1000 kg rounds a curve of radius 50 m at 20 m/s. Determine centripetal acceleration and force.
5. Two objects (2 kg and 3 kg) collide elastically. Find final velocities using momentum and energy conservation.
6. A 0.4 kg object oscillates with simple harmonic motion, period 0.5 s, amplitude 0.1 m. Find maximum acceleration.
7. A 1 kg mass slides along a frictionless circular path of radius 0.5 m at 4 m/s. Find centripetal force.
8. A block of mass 5 kg is at equilibrium on an inclined plane with friction coefficient μ = 0.2. Determine friction force.
9. A 0.5 kg ball attached to string of length 1 m swings in vertical circle at 6 m/s. Compute tension at bottom.
10. A spring-mass system with m = 0.3 kg, k = 50 N/m, amplitude 0.05 m. Find maximum acceleration and force.