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CBSE Class 11-science Answered

A boy wants to hold a 50 kg box at rest ona snow covered hill. The hill makes an angle of 30 with the horizontal. What force the boy  must exert parallel to the slope
Asked by ranjanashishsharma7979 | 04 Aug, 2019, 09:26: PM
answered-by-expert Expert Answer
figure shows the forces acting on the box placed on the slope of hill.
 
F is applied force in horizontal direction, mg is force due to gravity.
 
As can be seen from figure, to hold the box, Resolved components of the forces along the direction of slope should be equal.
 
Hence , we have,  mg sinθ = F cosθ   or F = mg tanθ ............(1)
 
By substituting the values for m, g and θ, we get,   F = 50×9.8×(1/√3) ≈ 28.3 N
Answered by Thiyagarajan K | 04 Aug, 2019, 11:19: PM
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