Andrew and Warren sit on opposite sides of a table of mass 28 kg. Andrew pushes the table to the right with a force of 277 N, and Warren pushes the table to the left with a force of 215 N. (Assume there is no friction.)

a. Draw the free-body diagram of the table. (You do not need to draw it perfectly to scale. Just make sure the directions are correct.)

b. Write the expression for the net force on the table along the y-axis.

c. Write the expression for the net force on the table along the x-axis.

d. What is the normal force acting on the table?

e. What is the net force on the table along the x-axis, including direction?

f. What is the acceleration of the table, including direction?

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pstnonsonjoku pstnonsonjoku · Answer 1 · 2022-07-13T20:01:40+02:00

The acceleration is 2.2 m/s^2 and the net force is 62N towards the right

The net force is the effective force that acts on a body in a give direction.

1. The net force in the y axis is; ∑Fy = 0

2. The net force along the y axis is; ∑Fx = 277 N - 215 N

3. The normal reaction is given by; 28 kg * 9.8 m/s^2 = 274.4 N

4. The net force in the x axis is 277 N - 215 N = 62N towards the right

5. The acceleration of this force is obtained from;

F = ma

62 = 28 a

a = 62/28

a = 2.2 m/s^2

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