Cat Lift2mgThree ropes are attached to the center of a box that has mass m and isbeing lifted up. The magnitude of the tension in each rope is shown. (a)How much work do the ropes do over a vertical distance h? (b) How muchwork does gravity do over the same distance? (c) If the box initially hadzero speed, what is the speed at the distance h?Problem 145%---30°mg√2mg

Name: Cat Lift2mgThree ropes are attached to the center of a box that has m
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Description: Cat Lift2mgThree ropes are attached to the center of a box that has mass m and isbeing lifted up. The magnitude of the tension in each rope is shown. (a)How much work do the ropes do over a vertical distance h? (b) How muchwork does gravity do over

The weight of the box will always act in the downward direction. a) Calculate the vertical component…

Answered: Problem 1 Cat Lift 2mg Three ropes are…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Cat Lift
2mg
Three ropes are attached to the center of a box that has mass m and is
being lifted up. The magnitude of the tension in each rope is shown. (a)
How much work do the ropes do over a vertical distance h? (b) How much
work does gravity do over the same distance? (c) If the box initially had
zero speed, what is the speed at the distance h?
Problem 1
45%
--
-30°
mg
√2mg

Expert Solution

Step 1

The weight of the box will always act in the downward direction.

Calculate the vertical component of the force.

$\begin{array}{l} F_{V} = [(2 m g) \sin 45 ° + (\frac{\sqrt{2}}{2} m g) \sin 30 ° - (\frac{1}{2} m g)] - m g \\ F_{V} = 0.27 m g \end{array}$

Calculate the work done by the ropes to cover the vertical distance h.

$\begin{array}{l} W = F_{V} \times h \\ W = 0.27 m g h \end{array}$

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