You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Kinetic Energy

A force of ...

Question

A force of $1$ N acts upon a mass of $1$ kg for $1$ second and gives it a momentum P and kinetic energy E. The same force acts upon the same mass for a displacement of $1$ m and gives it a momentum P' and kinetic energy E'. Then?

Open in App

Solution

We know Kinetic energy $\frac{1}{2} m v^{2}$ and momentum p=mv
Since for both the cases the quantity of force and mass are same thus kinetic energy and momentum can be related as
$\frac{2 K . E}{v^{2}} = \frac{p}{v} K . E = \frac{p v}{2}$
As same amount of forceis applied to same amountof mass its velocity will be same for both the case.

Suggest Corrections

Similar questions

Q. Two bodies of masses

m_{1}

and

m_{2}

are acted upon by a constant force

F

for a time

t

. They start from rest and acquire kinetic energies

E_{1}

and

E_{2}

respectively. Then

\frac{E_{1}}{E_{2}}

A body of mass 5 kg is moving with a momentum of 10 kg-m/s.A force of 0.2 N acts on it in the direction of motion of the body for 10 seconds. The increase in its kinetic energy is

Q. When a force of

1

N acts on

1

kg mass at rest for

1

s, its final momentum is

P

. When

1

N force acts on

1

kg mass at rest through a distance

1

m, its final momentum is

P^{'}

. The ratio of

P

P^{'}

is:

Q. A body of mass

5 k g

is moving with a momentum of

10 k g - m / s

. A force of

0.2 N

acts on it in the direction of motion of the body for

10

seconds. The increase in its kinetic energy is:

Q. A force of

10

N acts on a body of

2

kg mass for a distance of

1

m. The kinetic energy received by the body is:

Join BYJU'S Learning Program

A force of 1 N acts upon a mass of 1 kg for 1 second and gives it a momentum P and kinetic energy E. The same force acts upon the same mass for a displacement of 1 m and gives it a momentum P' and kinetic energy E'. Then?

We know Kinetic energy12mv2 and momentum p=mvSince for both the cases the quantity of force and mass are same thus kinetic energy and momentum can be related as 2K.Ev2=pvK.E=pv2As same amount of forceis applied to same amountof mass its velocity will be same for both the case.

A force of $1$ N acts upon a mass of $1$ kg for $1$ second and gives it a momentum P and kinetic energy E. The same force acts upon the same mass for a displacement of $1$ m and gives it a momentum P' and kinetic energy E'. Then?