a force of 1000N was applied to stop a car that was moving with a constant velocity the car stopped after moving through 10m how much is the work done?
velocity = ________ total time
speed = _________ total time
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Given: A force of 1000N was applied to stop a car that was moving with a constant velocity. The car stopped after moving through 10m.
To find: Work done in this process
Solution: Let the force applied be F and distance covered in stopping be S.
Here, the force applied is in opposite direction to the velocity,which is why the car stops.
Therefore the angle between force applied and car is 180°.
cos 180° = -1
The formula for work done when force is applied to stop an object with constant velocity is
= Force . Distance covered in stopping
= F . S
= F S cos 180°
= 1000 N . 10 m . -1
= -10000 J
= - 10 kJ ( 1 kJ = 1000 J)
Therefore, the work done when 1000 N force is applied to stop the car is -10 kJ.
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