Question

according to newtons first law of motion, an object at rest will stay at rest until unbalanced forces act upon it. below are four free body diagrams showing forces applied to objects at rest. remember, when a force is unbalanced, the object will move in the same direction as the greater force.

1. which of the following statements are true?

select all that apply.
a. object a will move to the right.
b. object b will move down.
c. object c will move up and to the right.
d. object d will move down and to the right.
e. object a will remain at rest.
f. object b will remain at rest.
g. object d will remain at rest.

Explanation:

Step1: Analyze Object A

For Object A, vertical forces: \(5N\) (down) and \(5N\) (up) cancel. Horizontal forces: \(50N\) (left) and \(50N\) (right) cancel. So Object A is in equilibrium.

Step2: Analyze Object B

For Object B, vertical forces: \(100N\) (down) and \(101N\) (up). Net vertical force \(F_{y}=101 - 100=1N\) (up). Horizontal forces: \(50N\) (left) and \(50N\) (right) cancel.

Step3: Analyze Object C

For Object C, vertical forces: \(10N\) (down) and \(10N\) (up) cancel. Horizontal forces: \(50N\) (right) and \(20N\) (left). Net horizontal force \(F_{x}=50 - 20 = 30N\) (right).

Step4: Analyze Object D

For Object D, vertical forces: \(10N\) (down) and \(10N\) (up) cancel. Horizontal forces: \(20N\) (right) and \(15N\) (left). Net horizontal force \(F_{x}=20 - 15=5N\) (right).

Answer:

E. Object A will remain at rest.