Question

A block of mass m attached to a spring with spring constant k oscillates horizontally on a friction less table. Its velocity is 20 cm/s when x = -5 cm. Taking m = 100 gm, and spring constant = 2.5 N/m,

a) Find out the equations of position, velocity, and acceleration of the ball. Find also the total energy of the block when its velocity was 20 cm/s.

b) Oscillating particles generate waves. What will be the equation of a wave generated by an oscillation from part (a), that is travelling with a speed of 5 m/s with a frequency of 100 Hz? The wave has 2.0 cm between the top of the crests and the bottom of the troughs. Is the wave making an audible sound?

c) If the wave in part b) was travelling through a 2 m long string held at a tension of 10 N, what would be the mass of the string?

d) If the set-up of part a), i.e., the source of the wave moves away with a speed 20 m/s, what will be the frequency of the wave generated?

Answer 1