A metal block of mass M kg is attached to a spring of negligible mass and spring constant k and is free to slide on a frictionless, horizontal surface. A clay ball of mass M/4 kg is fired at the block with velocity V m/s and sticks to it. The block is initially at rest and the spring is initially uncompressed. (a) What is the speed of the block and ball system immediately after the impact?
2. A metal block of mass M kg is attached to a spring of negligible mass and spring constant k and is free to slide on a frictionless, horizontal surface. A clay ball of mass M/4
kg is fired at the block with velocity V m/s and sticks to it. The block is initially at rest and the
spring is initially uncompressed.
(a) What is the speed of the block and ball system immediately after the impact?
(b) Write an equation for the position of the block as a function of time after the
collision, assume that at t = 0 s, the instant of the impact, it is at X = 0 m, which is the
unstretched point of the spring. Determine values for the amplitude, angular frequency in terms
of the given quantities. Assume that X and V are positive to the left as shown.
(c) Calculate the time period, maximum velocity and maximum acceleration of the
motion of the spring block and ball system.
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