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A loaded 350 kg toboggan is traveling on smooth horizontal snow at 5.00 m/s when

ID: 1343897 • Letter: A

Question

A loaded 350 kg toboggan is traveling on smooth horizontal snow at 5.00 m/s when it suddenly comes to a rough region. The region is 8.80 m long and reduces the toboggan's speed by 1.30 m/s .

Part A

What average friction force did the rough region exert on the toboggan?

Part B

By what percent did the rough region reduce the toboggan's kinetic energy and speed?

Part C

A loaded 350 kg toboggan is traveling on smooth horizontal snow at 5.00 m/s when it suddenly comes to a rough region. The region is 8.80 m long and reduces the toboggan's speed by 1.30 m/s .

Part A

What average friction force did the rough region exert on the toboggan?

F = N

Part B

By what percent did the rough region reduce the toboggan's kinetic energy and speed?

KK = %

Part C

v/v =   %

Explanation / Answer

final speed = 5 - 1.3 = 3.7

v^2 = u^2 + 2as

a = (v^2 - u^2)/2s

a = -0.64 m/s^2

F = ma

F = 350 * -0.64 = -224 N

(-ve sign indicates in opposite direction to the motion)

part b )

Ki = 1/2 * m * u^2 = 4375 J

Kf = 2395.75 J

dK/K = (4375 - 2395.75) / 4375 = 45.24 %

part c )

dv/v = 1.3/5 = 26 %

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