A woman at an airport tows her 16.7kg suitcase behind her as she runs to make he

Question

A woman at an airport tows her 16.7kg suitcase behind her as she runs to make her connecting flight. She accelerates at 0.850m/s^2 as she pulls with 46.0N on the suitcase strap at an angle above the horizontal as shown in the diagram. The Frictional force on the suitcase is 9.50N.

Part A

What is the value of ?, the angle the suitcase strap makes with the horizontal?

Express the angle in degrees, to 3 significant figures.

Part B

What is the magnitude of the normal force, n, that the airport floor exerts on the suitcase?

Express your answer in newtons, to 3 significant figures.

Part C

Calculate the coefficient of kinetic friction between the suitcase and the airport floor.

Give your answer to 3 significant figures

A woman at an airport tows her 16.7kg suitcase behind her as she runs to make her connecting flight. She accelerates at 0.850m/s^2 as she pulls with 46.0N on the suitcase strap at an angle above the horizontal as shown in the diagram. The Frictional force on the suitcase is 9.50N. Part A What is the value of ?, the angle the suitcase strap makes with the horizontal? Express the angle in degrees, to 3 significant figures. Part B What is the magnitude of the normal force, n, that the airport floor exerts on the suitcase? Express your answer in newtons, to 3 significant figures. Part C Calculate the coefficient of kinetic friction between the suitcase and the airport floor. Give your answer to 3 significant figures

Explanation / Answer

Fnet = Fx - f = F*costheta - f

Fnet = m*a

F*costheta - f = m*a

46*costheta - 9.5 = (16.7*0.85)

theta= 59 degrees

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part B)

n = m*g - F*sintheta = (16.7*9.8)-(46*sin59) = 124.23 N

part C)

f = uk*n

uk = f/n = 9.5/124.23 = 0.076

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