A contestant in a winter games event pushes a 52.0 kg block of ice across a froz

Question

A contestant in a winter games event pushes a 52.0 kg block of ice across a frozen lake as shown in the figure below. The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03. (Assume ? = 19

A contestant in a winter games event pushes a 52.0 kg block of ice across a frozen lake as shown in the figure below. The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03. (Assume ? = 19 degree .) Calculate the minimum force F he must exert to get the block moving. What is its acceleration once it starts to move, if that force is maintained?

Explanation / Answer

a)
F*cos(19) = (m*g + F*sin(19))*mue

F*cos(19) = m*g*mue + F*sin(19)*mue

F*(cos(19) - mue*sin(19)) = m*g*mue

F = 52*9.8*0.03/(cos(19) - 0.03*sin(19))

F = 16.34 N

b) a = F/m = 16.34/52 = 0.314 m/s^2

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