embedded n the wood Blocks A (mass 2.00 kg) and B (mass 6,00 kg) move on a frict

Question

embedded n the wood Blocks A (mass 2.00 kg) and B (mass 6,00 kg) move on a frictionless, horizontal surface. Initially, block B is at rest and block A is moving toward it at 2.00 m/s. The blocks are equipped with ideal spring bumpers. The collision is head-on, so all motion before and after the collision is along a straight line. 2. Find the maximum energy stored in the spring bumpers and the velocity of each block at that time. Find the velocity of each block after they have moved apart. a. b. 3. A high-speed flywheel in a motor is spinning at 500 rpm when a power failure suddenly

Explanation / Answer

2. maximum compression will be when they have same velocity.

Applying momentum conservation,

(6 x 0) + ( 2 x 2) = (6 + 2) v

v = 0.5 m/s

Applying energy conservation,

PEi + KEi = PEf + KEf

0 + (2 x 2^2 / 2) = PE + (8 x 0.5^2 / 2)

PE = 3 J

(b) collision will be elastic.

so velocity of separation = velocity of approach

vA + vB = 2

vB = 2 - vA

Applying momentum conservation,

(2 x 2) = - 2 vA + 6 vB

4 = - 2 vA + 12 - 6 vA

vA = 1 m/s ......Ans

vB = 1 m/s ......Ans   

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