A spring (75N/m ) has an equilibrium length of 1.00 m . The spring is compressed

Question

A spring (75N/m ) has an equilibrium length of 1.00 m . The spring is compressed to a length of 0.50 m and a mass of 1.9kg is placed at its free end on a frictionless slope which makes an angle of 41 degrees with respect to the horizontal. The spring is then released. a)If the mass is not attached to the spring, how far up the slope from the compressed point will the mass move before coming to rest? b) If the mass is attached to the spring, how far up the slope from the compressed point will the mass move before coming to rest? c)Now the incline has a coefficient of kinetic friction uk . If the block, attached to the spring, is observed to stop just as it reaches the spring's equilibrium position, what is the coefficient of friction uk ?

Explanation / Answer

x = 0.5 m
k = 75 N/m
m = 1.9 kg

b) If it is attached to the spring the energy stored in the spring is used up in rising the mass by a height of h3
0.5 kx^2 = m g h3
h3 = L2 sin 41
0.5kx^2=mg*L2 sin 41
L2=0.767m

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