A body of mass 5 kg is moving with a momentum of 10 kg . Now a force of 2 N acts on the body in the direction of its motion for 5 s. The increase in the kinetic energy of the body is ________ J. [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A body of mass 5 kg is moving with a momentum of 10 kg ${ms}^{- 1}$ . Now a force of 2 N acts on the body in the direction of its motion for 5 s. The increase in the kinetic energy of the body is ________ J. [2023]

Ans.
(30)

$Given: M = 5 kg$

$P_{i} = 10 kg m/s (initial momentum)$

$Impulse = F Δ t = Δ P = P_{f} - P_{i}$

$\Rightarrow 2 \times 5 = P_{f} - 10$

$P_{f} = 20 kg m/s (final momentum)$

$Increase in KE = K E_{f} - K E_{i}$

$= \frac{P_{f}^{2}}{2 m} - \frac{P_{i}^{2}}{2 m} = \frac{400}{2 \times 5} - \frac{100}{2 \times 5} = 40 - 10 = 30 J$

Want Us to Email you About Special Offers & Updates?