A small block of mass \(M_B\) = 0.50 kg is placed on a long slab of mass \(M_S\) = 3.0 kg as shown below. Initially, the slab is at rest and the block has a speed \(v_0\) of 4.0 m/s to the right. The coefficient of kinetic friction between the block and slab is 0.20, and there is no friction between the slab and the horizontal surface on which it moves.
A marble, m, of mass 100 g is placed onto a platform attached to a spring. The weight of the marble compresses the spring 2 cm, as shown below. A force is then applied to the platform to compress the spring an additional 3 cm. When the force is taken away, the spring decompresses and launches the marble upward. What is the maximum height the marble obtains above the unstretched spring (the spring with no mass on it).
An oscillator consists of a block attached to a spring( k = 400 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.100m, v = -13.6 m/s, and a = -123 m/s\(^2\) . Calculate the
A. frequency of oscillation
B. mass of the block
C. amplitude of the motion