Question

a 4kg object is moving across a frictionless surface with a constant velocity of 2m/s. Determine the force necessary to maintain this state of motion​

Answer 1

Given:

A 4 kg object is moving across a frictionless surface with a constant velocity of 2 m/s.

To find:

Magnitude of Force necessary to maintain the state of motion for the object.

Concept:

Force was originally defined as the instantaneous rate of change of momentum with respect to time. Since , Momentum is involved in the definition we can say that force is experienced only when there is change of velocity of that object with respect to time.

So, if there is no change of velocity over the time interval we can say that the body does not experience any force. In other words , the body is in a state of translational equilibrium.

Calculation:

As per the question , the object moves with a constant velocity of 2 m/s. Hence , its velocity does not change with respect to time and hence the force experienced by the body is zero.

No force is required to maintain this state of motion for the body.

So final answer:

$\boxed{ \red{ \bold{necessary \: \: force = 0 \: N}}}$

Answer 2

Explanation:

Given:

A 4 kg object is moving across a frictionless surface with a constant velocity of 2 m/s.

To find:

Magnitude of Force necessary to maintain the state of motion for the object.

Concept:

Force was originally defined as the instantaneous rate of change of momentum with respect to time. Since , Momentum is involved in the definition we can say that force is experienced only when there is change of velocity of that object with respect to time.

So, if there is no change of velocity over the time interval we can say that the body does not experience any force. In other words , the body is in a state of translational equilibrium.

Calculation:

As per the question , the object moves with a constant velocity of 2 m/s. Hence , its velocity does not change with respect to time and hence the force experienced by the body is zero.

No force is required to maintain this state of motion for the body.

So final answer:

\boxed{ \red{ \bold{necessary \: \: force = 0 \: N}}}

necessaryforce=0N