A hand pushes two blocks, A and B, along a frictionless table for a distance d. When the hand starts to push, the blocks are mov ing with a speed of 2 m/s. Suppose that the work done on block A by the hand during a given displacement is 10 J. Determine the final energy of each block. Mass of A is 4kg, mass of B is 1kg.
1 answer:
<span>net work = change in kinetic energy for Block B, we just have the force from block A acting on it F(ab)d= .5(1)vf² - .5(1)(2²) F(ab)d= .5vf² - 2 Block A, we have the force from the hand going in one direction and the force of block B on A going the opposite direction 10-F(ba)d = .5(4)vf² - .5(4)(2²) 10-F(ba)d = 2vf² - 8 F(ba)d = 18 - 2vf² now we have two equations: F(ba)d = 18 - 2vf² F(ab)d= .5vf² - 2 since the magnitude of F(ba) and F(ab) is the same, substitute and find vf (I already took into account the direction when solving for F(ab) 10-.5vf² + 2 = 2vf² - 8 12 - .5vf² = 2vf² - 8 20 = 2.5vf² vf² = 8 they both will have the same velocity KE of block A= .5(4)(2.828²) = 16 J KE of block B=.5(1)(2.828²) = 4 J</span>
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