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A swimmer moves through the water at an average speed of 0.22 m/s. The average drag force is 110 N. What average power is required of the swimmer?

Short Answer

Expert verified

The stopping distance of an automobile is 100 m.

Step by step solution

01

Given data:

Weight of the passengers, W = 16400 N

Average speed of an automobile, v = 113 km/h

The frictional on the wheels from the road, fk=8230N

02

To understand the concept:

Using the formula for workdone on a system by external force you can find thestopping distance of an automobile.

Formula:

W=∆Emech+∆Eth
03

Calculate the initial speed of the automobile:

Mass of the passengers is,

m=Wg=164009.8m/s2=1673kg

Average speed of an automobile is,

v=113km/h=113×518m/s=31.4m/s

04

Calculate the average power required:

Work done on a banana-Earth system by external force is given by,

W=∆Emech+∆Eth

In this case , W= 0

Then,

0=∆Emech+∆Eth0=∆KE+∆PE+∆Eth0=12mvf2-12mvi2+0+fkdfkd=12vi2-vf2

Substitute known values in the above equation.

d8230N=121673kg31.42d=100m

Hence, the stopping distance of an automobile is 100 m .

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