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WileyPLUS WileyPLUS: MyWilerPLUs )|d https://edugen.wiL. e Ng WileyPLUS I Contact Us IL GENERAL PHYSICS (PHYS 2001/2 Cutnell, Physics, 10e Assignment Gradebook ORION Downloadable eTextbook tice ment FULL SCREEN PRINTER VERSION BACK Chapter 06, Problem 40 GO The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 9 and 36 kg. If A and B are 4.0 and 1.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) ve (b) V Number Units units (c) KElighter Number Units Vers on 4.24.4

Explanation / Answer

a)

For Lighter box:

1/2*m*vB^2 = m*g*(ha - hb)

vB = sqrt(2*g*(ha - hb))

vB = sqrt(2*9.81*(4-1.5))

vB = 7 m/s

b)

1/2*m*vB^2 = m*g*(ha - hb)

vB = sqrt(2*g*(ha - hb))

vB = sqrt(2*9.81*(4-1.5))

vB = 7 m/s

c)

KE heavier/KE lighter = m heavier/ m lighter = 36/9 = 4   

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