A block of mass m is placed on a smooth inclined plane of inclination θ with the horizontal. The force exerted by the plane on the block has a magnitude
(a) mg
(b) mg/cosθ
(c) mg cosθ
(d) mg tanθ
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3
The force exerted by the plane on the block has a magnitude mg cosθ
option c is correct
- Let us assume the angle between inclined plane and horizontal is θ (angle of inclination )
- The weight of the block is mg
- Now by resolving the weight component
- The component of weight perpendicular to the plane is mg cosθ
- The component of weight along the plane is mg sin θ
- There is no external force ,so the force is exerted by the block on the plane is mg cosθ
- And according to the 3rd law of motion action and reaction are equal but in opposite direction .
- The plane also exert a force mg cosθ but in the opposite direction to the force exerted by the block on the plane
Answered by
4
Answer:
Option c
mg cosO
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