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A 70 kg water skier is being accelerated by a ski boat on a flat (\"gassy\") lak

ID: 1626941 • Letter: A

Question

A 70 kg water skier is being accelerated by a ski boat on a flat ("gassy") lake. The coefficient of kinetic fiction between the skier's skis and the water surface is mu_k 0.32. What is the skiers acceleration if the rope pulling the skier behind the boat apples a horizontal tension force of magnitude F_r = 200 N to the skier (theta = 0 degree)? Express your answer to two significant figures and include the appropriate units. a_A = What is the skier's horizontal acceleration if the rope pulling he skier exerts a force of F_r = 200 N on the skier at an upward angle theta = 12 degree? Express your answer to two significant figure and include the appropriate units. a_n =

Explanation / Answer

here,

mass , m = 70 kg

uk = 0.32

Ft = 200 N

a)

the magnitude of frictional force , Ff = uk * m * g

Ff = 219.7 N

as Ff > Ft

the accelration is zero

b)

the normal force , N = m * g - Ft * sin(12) = 644.2 N

frictional force , Ff = uk * N

Ff = 206.14 N

the horizontal force , Fx = Ft * cos(12) = 195.6 N

as Ff > Ft

the accelration is zero

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