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1 kg block of wood is attached to a spring, of force constant 200 N/m, which is attached to an immovable support. The block rests on a frictional surface with a coefficient of kinetic friction of 0.2. A 20 g bullet is fired into the block horizontally compressing the spring a maximum distance of 15 cm. Find the original velocity of the bullet before the collision. |
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Answer» Answer: x=Asin(ωt) Let x= 2
, A= 2
, ω= T 2π
, T=0.2 sec Time required to REACH WALL s GIVEN by 2
1
= 2
sin( 0.2 2πt
) sin(10πt)= 2 1
⇒t= 60 1
solving this we get t=T/6 Now TOTAL time of motion is t=2×T/6 t=T/3 By problem t=0.2 sec T=0.6 sec T=2π∗sqrt(m/k) By solving we get K=100N/m |
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