Using a cable with a tension of 1370 N , a tow truck pulls a car 5.00 km along a horizontal roadway.
Part A
How much work does the cable do on the car if it pulls horizontally?
Part B
How much work does the cable do on the car if it pulls at 35.0? above the horizontal?
Part C
How much work does the cable do on the tow truck if it pulls horizontally?
Part D
How much work does the cable do on the tow truck if it pulls at 35.0? above the horizontal?
Part E
How much work does gravity do on the car in part A?
1.
Workdone is given by:
W = F.d = F*d*cos A
Workdone by cable on the car
F = +1370 N
A = 0 deg
d = 5 km = 5000 m
So,
W = 1370*5000*cos 0 deg
W = 6.85*10^6 J
Part B
A = 35 deg
So,
W = 1370*5000*cos 35 deg
W = 5.61*10^6 J
Part C
Since Force is in -ve x-axis and displacement is in +ve x-axis
A = 180 deg
So,
W = 1370*5000*cos 180 deg
W = -6.85*10^6 J
Part D
A = -35 deg = 145 deg
So,
W = 1370*5000*cos 145 deg
W = -5.61*10^6 J
Part E
gravity is downward, while displacement is eastward, So
A = 90 deg
Cos 90 deg = 0
W = F*d*cos 90 deg = 0 J
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