1. What is the force, in Newton\'s, acting on block at t=0s 2. what is the updat

Question

1. What is the force, in Newton's, acting on block at t=0s

2. what is the updated momentum in kg*m/s at t= 0.1s

3. what is the updated velocity in m/s at t=0.1s

4. what is the updated position in meters at t=0.1s

Problem 3: A spring with stiffness of k = 7.5 N/m, lies horizontally on a frictionless table. One end of the spring is attached to a mass of m = 95 g and the other end is attached to the wall. Relaxed length of the spring is Lo = 20.8 cm. We pull the block to the right, along the positive x-axis, so that length of the spring is now L= 24.6 cm. At this instant (t= 0) we gently release the block. M

Explanation / Answer

a) The amplitude of oscialltion is: A = L- L0 = .246 - .208 = .038

Force = K.delX = 7.5 x .038 = .285 N

b) Angular frequency = w = sqrt (m/K) = .844

For SHM:

X = A sin(wt + phi)

At t = 0, x = .038

So, phi = pi/2 = 90 degrees

Velocity = v = dx/dt = Aw cos(wt + pi/2)

t = .1 sec

v = - .0027 m/sec

Momentum = .00025 Kg-m/sec

c) v = - .0027 m/sec

d) Position = x = A sin (wt + pi/2 ) = .038

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