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Chapter 11: Q. 10 (page 287)

A sled slides along a horizontal surface on which the coefficient of kinetic friction is 2.5. Its velocity at point Ais 8.0m/sand at point Bis 5.0m/s. Use the momentum principle to find how long the sled takes to travel from AtoB.

Short Answer

Expert verified

The time taken by sled to travel from AtoBis t=1.2s

Step by step solution

01

Given information  

We need to find that how long the sled takes to travel from Ato BUsing the momentum principle.

02

Calculation    

The impulse-momentum theorem we have is

F鈻�t=m鈻�v

We can express from here the time force Fthat is required for mass mcontaining bodies to undergo speed changes 鈻�vas

鈻�t=m鈻�vF.

The force is friction one so, we have

鈻�t=m鈻�v渭mg=鈻�v渭g.

After subtituting numerically, we have

鈻�t=8.0-5.0(0.25)脳(9.8)=1.2s

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