?

For a Body Mass ‘m’ Moving in a Straight Line at Constant Speed ‘V'

A

B

C

D

K =√2mp

p =√2mK

K =√2mp

p =K√2m

By Team Aakash Byju's | 30th October 2022

Detailed Explanation

The correct answers is B.  p=√2mK.

Arrow

K in the given options represents the kinetic energy of the object and p is the magnitude of its momentum.

For a body mass m moving with constant speed v, the kinetic energy is

K =

1

2

mv

2

Also, the magnitude of momentum is p = mv

Multiplying and dividing the RHS in the previous equation by m, we get

2

1

2

p

m

K =

K =        mv   =       v (mv)

1

2

2

1

2

The kinetic energy

Solve the previous equation and we get

p   = 2mK

Isolating p, we get

2

p=√2mK