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in a children park an inclined plane is constructed with an angle incline of 45 degree . find the acceleration of a boy sliding on it if the friction coefficient between cloth of the boy and the incline is 0.6 and g is 10m/s2

in a children park an inclined plane is constructed with an angle incline of 45 degree . find the acceleration of a boy sliding on it if the friction coefficient between cloth of the boy and the incline is 0.6 and g is 10m/s2

Grade:8

1 Answers

Arun
25750 Points
6 years ago
 

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force balance in the direction perpendicular to inclined plane
N = mg cos 45
equation of motion in the direction of inclined plane
mg sin45-μN =ma
or  mg sin 45 -μmgcos45 =ma
or a = g(sin45-μcos45)
    =2 √2
Regards
Arun (askIITians forum expert)

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