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

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

A)

Use equation,

Initial ME = Final ME

½*m*vi^2 =Efriction + ½*mvf^2

½*m*vi^2 = Ff*d + ½*mvf^2

½*350*5^2= Ff*8.8+1/2*350*1.3^2        => Ff = 463.6 N

B)

K/K= [(1/2mvi^2-1/2mvf^2)/ (1/2mvi^2)]*100= [(vi^2-vf^2)/vi^2]*100 = [(5^2-1.3^2)/5^2]*100 = 93.24%

C) v/v= [(vi-vf)/vi]*100= [(5-1.3)/5]*100 = 74%

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