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Consider the following statements, regar...

Consider the following statements, regarding a girl who wants to jump vertically upward from a hard horizontal floor. Symbolic representation of forces is given below. `vec(F)_(M)` = force developed in leg muscles, `vec(F)_(W)` = Weight, `vec(F)_(N)` = Normal reaction

A

Total force on floor is `vec(F)_(M)+vec(f)_(w)`.

B

Resultant force on girl is `(-vec(F)_(M))` while girl is in contact with floor.

C

Floor exerts a force `vec(F)_(N)` on girl.

D

The harder the girl pushes down, the greater the resulting acceleration of girl.

Text Solution

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The correct Answer is:
C, D

When the girl is bending her legs, the total force exerted by her legs in the action, normal force by grand is the reaction. Considering FBD of girl
`vec(F)_(N)+vec(F)_(w)=mvec(a)`
`vec(F)_(N)=-vec(F)_(M)`
So force on floor is `vec(F)_(M)`
Resultant force on giel is `vec(F)_(w)-vec(F)_(M)`
Note: If we say the change in force of girl is `vec(F)_(M)`, then (A) and (B) would also be correct.
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