C, 2. A J. Haija-B IUP- 2017 EXAM II A block Diock started moving along the incl

Question

C, 2. A J. Haija-B IUP- 2017 EXAM II A block Diock started moving along the incline with a velocity v that barely got it to reach position A, figure below. Using the energy conservation principle only, calculate of mass m = 3.60 kg, positioned at the bottom (point B) of a smooth incline of 8.00 m high. The ) the change in the block's kinetic energy upon moving from B to A (Hint: Choose the potential energy (c) the work donron the bloc, by gravity as it moved from Bto A (a) the velocity of the block at position B. reference level at the bottom of the incline). 21 Points @fi tu; 'Ur (3.60g)(48)2 .00m 37.0° G i 12A

Explanation / Answer

a) use conservation of mechanical energy

initial kinetic enenrgy = final potential energy

(1/2)*m*v^2 = m*g*h

v = sqrt(2*g*h)

= sqrt(2*9.8*8)

= 12.5 m/s

b) delta_KE = -change in potential energy

= -m*g*h

= -3.6*9.8*8

= -282 J

c) Workdone by gravity = -m*g*h

= -m*g*h

= -3.6*9.8*8

= -282 J

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