A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk. Each exerts a constant force and pulls the wagon through the same displacement. They do the same amount of work, but the husband's pulling force is directed 58" above the horizontal, and the wife's pulling force is directed 38 above the horizontal. The husband pulls with a force whose magnitude is 60 N. What is the magnitude of the pulling force exerted by his wife?

Marques Flynn

Marques Flynn

Answered question

2022-12-01

A husband and wife take turns pulling their child in a wagon along a horizontal sidewalk. Each exerts a constant force and pulls the wagon through the same displacement. They do the same amount of work, but the husband's pulling force is directed 58 o above the horizontal, and the wife's pulling force is directed 38 o above the horizontal. The husband pulls with a force whose magnitude is 60 N. What is the magnitude of the pulling force exerted by his wife?

Answer & Explanation

Dalia Cordova

Dalia Cordova

Beginner2022-12-02Added 8 answers

thetah = 58 degree
thetaw = 38 degree
the magnitude of force applied by husband , F h = 60 N
as the work done by them is same
W w = W h
F w × s × cos ( t h e t a w ) = F h × s × cos ( t h e t a h )
F w × cos ( 38 ) = 60 × cos ( 58 )
solving for F w
F w = 40.3 N
the magnitude of the pulling force exerted by his wife is 40.3 N
Dario Meza

Dario Meza

Beginner2022-12-03Added 2 answers

good

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