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the amount of time it takes for a student to complete the amount of time it take

ID: 1775156 • Letter: T

Question

the amount of time it takes for a student to complete the amount of time it takes for a student to complete the amount of time it takes for a student to complete THE PROBLEM A space utility vehicle has lost all power and is at rest in outer space. To get it moving, two pieces of the failed engine are ejected simultaneously. One piece has mass M=14 kg and is ejected with speed V-56 m/s in the i direction. The other piece has mass m=11 kg and is ejected with speed v=14 m/s in the j direction. Without those pieces, the vehicle has mass Msuv-62 kg. Calculate the new velocity of the vehicle. PAPER SOLUTION INTERPRET Identify all of the true statements. A. Momentum is conserved in this situation. B. Momentum is a vector. C. Momentum is conserved in all physics problems. D. None of the above. DEVELOP In your answers below, type Msuv to represent My Derive an algebraic expression for the new velocity. Suv Derive an algebraic expression for the new speed. suv = EVALUATE ASSESS

Explanation / Answer

Applying momentum conservation,

pi = pf

0 = M V + m v + Msuv Vsuv

Vsuv = - (M V + m v) / Msuv

Vsuv = ( - M V / Msuv) i + ( - m v / Msuv) j ........Ans

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Vsuv = - (14x56i + 11 x 14 j) / (62)

= - 12.6 i + 2.48 j