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A body of mass 6 kg moving on a horizontal surface with initial velocity 8 metre per second come to rest after 3 second if one bonds to keep this body moving on the same surface have velocity 8 m per second the force is required?
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A body of mass 6 kg moving on a horizontal surface with initial veloci...
Calculating the Force Required to Keep the Body Moving
- Given data:
- Mass of the body, m = 6 kg
- Initial velocity, u = 8 m/s
- Time taken to come to rest, t = 3 s
- Final velocity, v = 0 m/s
- Required velocity, v' = 8 m/s
- Calculating acceleration:
- Using the equation of motion: v = u + at
- Substituting the values: 0 = 8 + a x 3
- Solving for acceleration, a = -8/3 m/s²
- Calculating the force required:
- When the body is at rest, the net force acting on it is equal to zero
- When the body is in motion with a constant velocity, the net force required is equal to the force of friction
- Force of friction, F = mass x acceleration
- Substituting the values: F = 6 x (8/3) = 16 N
Therefore, the force required to keep the body moving on the same surface with a velocity of 8 m/s is 16 N.
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A body of mass 6 kg moving on a horizontal surface with initial velocity 8 metre per second come to rest after 3 second if one bonds to keep this body moving on the same surface have velocity 8 m per second the force is required?
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