Answered: A certain box has a mass of 42.7kg. You…

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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Question

A certain box has a mass of 42.7kg. You exert a constant upward force of 650N on the box to lift is 1.5m above the floor. How fast is the box moving when it reaches that point?

Expert Solution

Step 1

Force is defined as product of mass and acceleration

$F = m a$

Given :

mass of box is 42.7 kg

Upward Force F is 650 N

distance d is 1.5 m

To calculate velocity use work energy theorem

$W_{n e t} = ∆ K E W_{n e t} = \frac{1}{2} m {v_{f}}^{2} - \frac{1}{2} m {v_{i}}^{2} v_{i} = 0 W_{n e t} = \frac{1}{2} m {v_{f}}^{2}$

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