A block of mass 1.8 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below
A block of mass 1.8 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest.
(a) A constant friction force of 3.4 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum.
(b) What is the maximum speed?
Homework Answers
A)
Force, F = kx
X = F/k = 3.4/900 = 0.38 cm
B)
Potential energy, E = 0.5 x 900 x 0.02^2 = 0.18 J
0.5 mv^2 = 0.18
Velocity, v = sqrt(2 x 0.18/1.8) = 44.72 cm/sec
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