(0%) Problem 29: A spring with a spring constant of k= 159 N/m is initially comp
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(0%) Problem 29: A spring with a spring constant of k= 159 N/m is initially compressed by a block a distance d= 0.31 m. The block is on a horizontal surface with coefficient of kinetic friction k, static friction and has a mass of m = 1 kg. -Unstrethed Length Ctheexpertta.com 33% Part (a) Assuming the block is released from the initial position and beginsto move to the right in the forces in the x-direction in the configuration shown above, using the variables provided t an expressa n for the sum of 33% Part (b) How large would the coefficient of static friction us need to be to keep the block from moving? 33% Part (c) Assuming the block has just begun to move and the coefficient of kinetic friction is ,-02, what is the blocks accelerate n in meters per square second? Grade Summary Potential 100% Submissions a= sin() | cos() | tanO | 1(1)17 | 8|9 cotanO asinO acos0 Attempts remaining: 20 (Esl per atempt) detailed viewExplanation / Answer
Given,
k = 159 N/m ; d = 0.31 m ; m = 1 kg
a)The net force in X direction would be:
Fnet-x = F(Hook's) - F(friction)
Fnet = kd - uk m g
b)For this
F(friction) = F(Hook's)
us m g = k d
us = kd/mg = 159 x 0.31/1 x 9.8 = 5.024
Hence, us = 5.04
c)We have,
Fnet = kd - uk mg
Fnet = 159 x 0.31 - 0.2 x 1 x 9.81 = 47.33
Fnet = ma = 47.33
a = 47.33/m = 47.33/1 = 47.33 m/s^2
Hence, a = 47.33 m/s^2
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