4. Consider a box with a mass of 10 kg on a smooth, horizontal surface. Assume that all forcesand motion occur in the xy plane where the x axis represents the horizontal direction and they axis represents the vertical direction. A force F of 10 N is applied horizontally on the box inthe +x direction. A second force, F, is applied on the box at an angle of 0 measuredcounterclockwise with respect to the x axis. It is known that the box has an initial velocity ofvo = +3 m/s and a constant acceleration of a = - 1 m/s?. Assume that the gravitationalacceleration g = 10 m/s2 in this and the next question.(a) Draw the free-body diagram of the box showing ALL forces acting on it. [Onlyschematic representation of each force is needed, i.e., you need not to calculate thenumerical value of a given force.](b) Without calculation, explain why or why not the angle 0 can be acute.(c) Assume that the magnitude of F, is 20 N, find the angle 0.(d) Draw the free-body diagram again with your results in part (c). This time,show the numerical value of each force.

Answered: Image /qna-images/answer/6db9d7c9-e07a-4881-93f3-0fa34b459341.jpg

Consider a box with a mass of 10 kg on a smooth, horizontal surface. Assume that all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F, of 10 N is applied horizontally on the box in the +x direction. A second force, F,, is applied on the box at an angle of 0 measured counterclockwise with respect to the x axis. It is known that the box has an initial velocity of Vo = +3 m/s and a constant acceleration of a = - 1 m/s2. Assume that the gravitational acceleration g = 10 m/s2 in this and the next question. (a) Draw the free-body diagram of the box showing ALL forces acting on it. [Only schematic representation of each force is needed, i.e., you need not to calculate the numerical value of a given force.] (b) Without calculation, explain why or why not the angle 0 can be acute. (c) Assume that the magnitude of F, is 20 N, find the angle 0. (d) Draw the free-body diagram again with your results in part (c). This time, show the numerical value of each force.

Consider a box with a mass of 10 kg on a smooth, horizontal surface. Assume that all forces and motion occur in the xy plane where the x axis represents the horizontal direction and the y axis represents the vertical direction. A force F, of 10 N is applied horizontally on the box in the +x direction. A second force, F,, is applied on the box at an angle of 0 measured counterclockwise with respect to the x axis. It is known that the box has an initial velocity of Vo = +3 m/s and a constant acceleration of a = - 1 m/s2. Assume that the gravitational acceleration g = 10 m/s2 in this and the next question. (a) Draw the free-body diagram of the box showing ALL forces acting on it. [Only schematic representation of each force is needed, i.e., you need not to calculate the numerical value of a given force.] (b) Without calculation, explain why or why not the angle 0 can be acute. (c) Assume that the magnitude of F, is 20 N, find the angle 0. (d) Draw the free-body diagram again with your results in part (c). This time, show the numerical value of each force.

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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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

4. Consider a box with a mass of 10 kg on a smooth, horizontal surface. Assume that all forces
and motion occur in the xy plane where the x axis represents the horizontal direction and the
y axis represents the vertical direction. A force F of 10 N is applied horizontally on the box in
the +x direction. A second force, F, is applied on the box at an angle of 0 measured
counterclockwise with respect to the x axis. It is known that the box has an initial velocity of
vo = +3 m/s and a constant acceleration of a = - 1 m/s?. Assume that the gravitational
acceleration g = 10 m/s2 in this and the next question.
(a) Draw the free-body diagram of the box showing ALL forces acting on it. [Only
schematic representation of each force is needed, i.e., you need not to calculate the
numerical value of a given force.]
(b) Without calculation, explain why or why not the angle 0 can be acute.
(c) Assume that the magnitude of F, is 20 N, find the angle 0.
(d) Draw the free-body diagram again with your results in part (c). This time,
show the numerical value of each force.

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