Question

Several forces act on an object at rest. It is known that the sum of the forces acting on the object is zero. Which statement is necessarily true?
Question 7 options:

The object's center of mass may move in such a way that the object will roll without slipping.

The object's center of mass may accelerate, but the object will remain in the same orientation.

The object's center of mass may accelerate and the object may begin to rotate.

The object will remain stationary.

The object's center of mass will not accelerate, but the object may begin to rotate.

Answer 1

Answer:

When net force of zero acting on a ball which is at rest , then the object center of mass will not accelerate , but the object may begin to rotate .

Explanation:

Here when there is an object where several forces are acing upon  are zero then the center of mass will not accelerate because we know that

    $A_{com}=\frac{F_{net}}{M}$

Where $A_{com} =$ acceleration of center of mass  

            $F_{net}$ = net force = 0

   So the acceleration of center of mass will be zero

But the torque ,may not be zero as torque is product of individual force and perpendicular force .

 Since if torque is not equal to zero then the object may begin to rotate