Section 1.10: Chapter 1 Test
Complete this test to assess your understanding of Mechanics topics from Sections 1.1–1.9. Attempt all questions before checking solutions.
Test Questions
- A 2 kg block slides down a 5 m frictionless incline at 30°. Find its speed at the bottom.
- A 0.5 kg mass attached to a spring (k = 100 N/m) oscillates with amplitude 0.1 m. Find maximum velocity and acceleration.
- A 1 kg ball rotates in a horizontal circle of radius 0.25 m at 5 m/s. Determine angular speed and centripetal force.
- A car of mass 1000 kg moves around a curve of radius 50 m at 20 m/s. Find centripetal acceleration and force.
- Two objects (2 kg and 3 kg) collide elastically. Determine final velocities.
- A 0.4 kg object undergoes SHM with period 0.5 s, amplitude 0.1 m. Find maximum speed and acceleration.
- A block of mass 5 kg rests on an incline with friction coefficient μ = 0.2. Compute friction force and net acceleration.
- A 0.5 kg ball swings in a vertical circle of radius 1 m at 6 m/s. Find tension at bottom and top positions.
- A 0.3 kg spring-mass system with k = 50 N/m, amplitude 0.05 m. Calculate max force and acceleration.
- A 2 kg mass is launched horizontally at 5 m/s. Determine kinetic energy and momentum.