2-A 10.0 Kg block is released from point A in the figure below. The block travels along a smooth frictionless track except for the rough 1 m long portion between points B and C. At the end of the track, the 10 kg block hits a spring of force constant (k) = 2000 N/m, and compresses the spring a distance of 20 cm from its equilibrium position before coming to rest momentarily.

Question

2-A 10.0 Kg block is released from point A in the figure below. The block travels along a smooth frictionless track except for the rough 1 m long portion between points B and C. At the end of the track, the 10 kg block hits a spring of force constant (k) = 2000 N/m, and compresses the spring a distance of 20 cm from its equilibrium position before coming to rest momentarily.
a) What is the speed of the block at point B?
b) What is the speed of the block at point C?
c) What is the value of the coefficient of kinetic friction (k) between the block and the rough
portion between points B and C?

Elena · Answer

s=BC=1 m
a) PE=KE₁
mgh = mv₁²/2
v₁=sqrt(2gh)=…
b,c) KE₂=PE(spring)
mv₂²/2 =kx²/2
v₂=sqrt{ kx²/m} =…
KE₁=W(fr)+KE₂
mv₁²/2 = μmgs+ mv₂²/2
μ=(1/mgs)•{ mv₁²/2 - mv₂²/2}=…

ashu · Answer

0.328