Question

1. which of the following statements are true of an object that experiences balanced forces (or unbalanced forces)? list all that apply.

a. if a person is moving to the right at constant velocity, then the forces acting upon it are not balanced.
b. a balance of forces is demonstrated by an object which is slowing to a stop.
c. it would take an unbalanced force to keep an object in motion.
d. if an object is moving with a constant speed in a circle, then the forces acting upon the object are balanced.
e. if an object is accelerating at a constant rate of acceleration, then the forces acting upon the object are balanced.
f. it is not possible for just three forces to be acting upon an object and they still balance each other.
g. a free - falling object experiences a balance of forces.
h. balanced forces cause stationary objects to remain at rest and moving objects to come to rest.

Explanation:

• Option A: When a person moves at a constant velocity (no acceleration), according to Newton's first law (\(F = ma\), \(a = 0\) implies \(F_{net}=0\)), the forces are balanced. So, this statement is false.
• Option B: An object slowing to a stop has a non - zero acceleration (\(a

eq0\)). Using \(F = ma\), \(F_{net}
eq0\), so forces are unbalanced. This statement is false.

• Option C: An object in motion with constant velocity (\(a = 0\)) has balanced forces (\(F_{net}=0\)). Unbalanced forces cause acceleration. So, this statement is false.
• Option D: An object moving in a circle (even at constant speed) has a centripetal acceleration (\(a=\frac{v^{2}}{r}

eq0\)). By \(F = ma\), \(F_{net}
eq0\), forces are unbalanced. This statement is false.

• Option E: If \(a

eq0\) (constant acceleration), then \(F_{net}=ma
eq0\) (from \(F = ma\)), forces are unbalanced. This statement is false.

• Option F: Three forces can balance each other. For example, three forces in a plane with vectors summing to zero. This statement is false.
• Option G: A free - falling object has an acceleration \(a = g\) (near the Earth's surface). Using \(F = ma\), \(F_{net}=mg

eq0\), forces are unbalanced. This statement is false.

• Option H: Balanced forces (\(F_{net}=0\)) mean \(a = 0\). So, stationary objects (\(v = 0\)) remain at rest (\(\Delta v=0\)) and moving objects (\(v

eq0\)) move with constant velocity (\(\Delta v = 0\)), not come to rest. This statement is false.

Answer:

None of the options (A - H) are correct.