Question

Enter a one- or two-word answer that correctly completes the following statement.

If the constant force is applied for a fixed interval of time (t), then the _____ of the particle will increase by an amount (at)
If the constant force is applied over a given distance D, along the path of the particle, then the _____ of the particle will increase by FD .
If the initial kinetic energy of the particle is Ki , and its final kinetic energy is Kf, express Kf in terms of Ki and the work W done on the particle.Find KF

Answer 1

1. momentum

2. energy

3. Kf = Ki + W

Step-by-step explanation:

1. If the constant force is applied for a fixed interval of time (t), then the momentum of the particle will increase by an amount (at).

Force F applied for a time t is called impulse and is given as F*t which is equal to the increase or decrease in momentum of an object.

2. If the constant force is applied over a given distance D, along the path of the particle, then the kinetic energy of the particle will increase by FD.

Work-Energy principle:

The principle of work and kinetic energy states that the work done by all forces acting on a particle (the work of the resultant force) equals the change in the kinetic energy of the particle.

3. Kf in terms of Ki and Work done:

We have Ki as the initial Kinetic energy of a particle. The Kinetic energy of a body changes when some work is done on it.

Work done on the particle is given as

Work done = Force * distance

W = F.D

So, final Kinetic energy = Initial Kinetic energy + Work done

Kf = Ki + FD

Answer 2

1) Velocity

2) Kinetic Energy

3)
`K_f = K_i + W`

Step-by-step explanation:

When constant force is applied for a fixed interval of time then we have

`F = ma`

`a = (F)/(m)`

now if the force is constant then we can use kinematics

so we will have

`v = v_i + at`

`v - v_i = at`

so here the velocity is increased by factor of "at"

Now the constant force is applied for some given distance D

so here we have work done by the force is given as

`W = FD`

now by work energy theorem we can say that the total work done by all the forces must be equal to the change in kinetic energy

`K_f - K_i = FD`

As per above work energy theorem we know that

`K_f = K_i + W`