Practice Problems

1. A 5 kg block is on a 30° frictionless incline. Find its acceleration down the incline.
2. Two blocks (3 kg and 5 kg) connected over a pulley. Determine acceleration and tension.
3. A 10 kg box is pulled along a horizontal surface with μ=0.2. Force applied is 50 N. Find acceleration.
4. A 2 kg mass hangs from a string attached to a 3 kg block on a frictionless incline. Find the acceleration.
5. A car of mass 1000 kg accelerates at 2 m/s². Find the net force acting on it.
6. A satellite moves in a circular orbit of radius 7000 km at a speed of 7.5 km/s. Find the centripetal acceleration.
7. A 5 kg mass on a horizontal frictionless table is connected to a hanging 3 kg mass. Find acceleration and tension.
8. A 6 kg block slides down a 25° incline with μ=0.1. Determine acceleration and friction force.
9. A ball is tied to a string and whirled in a horizontal circle of radius 2 m at 4 m/s. Find tension in the string if mass is 0.5 kg.
10. A 3 kg box is pulled with 20 N along a rough horizontal surface μ=0.15. Find acceleration and friction force.
11. Two blocks, 4 kg and 6 kg, connected over a pulley with friction on the table. Determine acceleration and tension.
12. A car moving at 20 m/s slows down uniformly to rest over 50 m. Find acceleration.
13. A 2 kg block on a 30° incline with friction μ=0.2 is connected to a hanging mass of 1 kg. Find acceleration.
14. A 0.5 kg mass rotates in a vertical circle of radius 1 m at 2 m/s at the bottom. Find tension in string.
15. A 10 kg block is pulled by 60 N force along horizontal surface with μ=0.25. Determine acceleration.
16. A 5 kg block slides down a 40° frictionless incline. Find acceleration and normal force.
17. A 4 kg mass hangs while a 3 kg mass is on a frictionless incline. Find acceleration and tension.
18. A 2 kg ball swings in horizontal circle of radius 1.5 m at 3 m/s. Find centripetal force.
19. Two blocks, 5 kg and 2 kg, connected over a frictionless pulley. Determine acceleration and tension.
20. A 6 kg box slides along a horizontal plane with μ=0.1. Pulled with 30 N. Find acceleration and friction force.