### Physics Problem on Forces and AccelerationA 40-kg crate is being lowered with a downward acceleration of \( 2.0 \, \text{m/s}^2 \) by means of a rope.#### Questions:**(a)** What is the magnitude of the force exerted by the rope on the crate? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \)**(b)** What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of \( 2.0 \, \text{m/s}^2 \)? \( \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{N} \)---For educational purposes, explain that these problems are related to Newton's second law of motion, which states that \( F = ma \), where \( F \) is the net force, \( m \) is the mass, and \( a \) is the acceleration. To solve these problems, consider the gravitational force acting on the crate and the net force due to the acceleration. Discuss how to determine the tension in the rope by setting up the equations for both lowering and raising the crate scenarios.

a)Draw the free-body diagram of the crate.

A 40-kg crate is being lowered with a downward acceleration is 2.0 m/s² by means of a rope. (a) What is the magnitude of the force exerted by the rope on the crate? (b) What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s²? N

A 40-kg crate is being lowered with a downward acceleration is 2.0 m/s² by means of a rope. (a) What is the magnitude of the force exerted by the rope on the crate? (b) What would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s²? N

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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Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

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