## A traveler pulls on a suitcase strap at an angle 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase

Question

A traveler pulls on a suitcase strap at an angle 36° above the horizontal. If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m, what is the tension in the strap?

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4 months 2021-09-05T12:27:39+00:00 1 Answers 184 views 0

## Answers ( )

T = 74.8 N

Explanation:

Given:

– The angle with the horizontal θ = 36°

– The tension in the strap T

– The amount of work done W = 908 J

– The distance travelled by the suitcase s = 15 m

Find:

what is the tension in the strap?

Solution:

– From definition we have that the work-done by a force F is given by the dot product of the force vector and the displacement vector as expressed below:

W = F.s

–  The scalar form of the work done includes the component of force F along the direction of displacement as follows:

W = F*s*cos(θ)

– Now we can calculate the Tension force T from the given data as follows:

W = T*s*cos(θ)

T = W / (s*cos(θ))

T = 908 / (15*cos(36))

T = 74.8 N