Laws of Motion

A 5 kg block rests on a 10 kg block on a frictionless floor, with μ = 0.2 between the blocks. A horizontal force F is applied to the TOP (5 kg) block. Find the maximum F for which both move together. (g = 10 m/s²)

A 4 kg block on a frictionless 37° incline is connected over a pulley to a 6 kg hanging block. Find the tension in the string. (sin37°≈0.6, g=10 m/s²)

A block sits on a frictionless incline (tanθ = 0.5) fixed inside a truck. Find the truck's forward acceleration so the block doesn't slide. (g = 10 m/s²)

Blocks of 4 kg and 6 kg are connected by a spring (k = 400 N/m) on a frictionless table. A 100 N force pulls the 6 kg block. Find the spring's extension at steady acceleration.

A uniform string of mass 4 kg, length 4 m, has a 16 kg block tied to its bottom. It's pulled up from the top with 240 N. Find the tension at the midpoint. (g = 10 m/s²)

Three blocks (1 kg, 2 kg, 2 kg) are connected in series on a frictionless table; a 20 N force pulls the far end (the 2 kg block). Find the tension in the string nearest the 1 kg block.

A force of 36 N acts on a 6 kg body. Find its acceleration.

A block slides down a rough 37° incline with μ = 0.5. Find its acceleration. (sin37°≈0.6, cos37°≈0.8, g=10 m/s²)

An Atwood machine has masses 5 kg and 3 kg. Find the tension in the string. (g = 10 m/s²)

A 0.2 kg ball hits a wall at 15 m/s and rebounds at 10 m/s. Find the magnitude of the impulse delivered by the wall.

A 60 kg person stands in a lift accelerating UPWARD at 2 m/s². Find the reading on a weighing scale under them. (g = 10 m/s²)

A 50 N force pushes a 4 kg block, which pushes a 6 kg block in front of it on a frictionless floor. Find the contact force between the two blocks.