Q. 144.1( 135 Votes )

A bullet of mass 10 g travelling horizontally with a velocity of 150 m s-1 strikes a stationary wooden block and comes to rest in 0.03 s. Calculate the distance of penetration of the bullet into the block. Also calculate the magnitude of the force exerted by the wooden block on the bullet.

Answer :

Firstly, we have to calculate the acceleration of the bullet:

Initial velocity, u = 150 m/s (Given)

Final velocity, v = 0 (As the bullet comes to rest after striking the wooden block)

Time, t = 0.03 s(Given)

We know that,

v = u + at

Putting the Values in the equation,We get:-

0 = 150 + a × 0.03

0.03 a = - 150

a = -

a = (- 5000 ms2)

Now, we will calculate the distance of penetration of bullet:


We know that,


v2 = u2 + 2as


(0)2 = (150)2 + 2 × (-5000) × s


0 = 22500 – 10000 × s

10000 s = 22500

s =


s = 2.25 m


Now, we have to calculate the magnitude of the force:

We know that:-
Force, F = m × a


F = kg × (-5000) m/s (1 gram=1/1000 kg)


= -50 N

Thus the magnitude of retarding force is exerted by the wooden block on the bullet is 50 N

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Conservation of MomentumQuiz | Conservation of MomentumQuiz | Conservation of Momentum33 mins
Lets understand Circular MotionLets understand Circular MotionLets understand Circular Motion42 mins
Lakhmir Singh | Force and Laws of Motion Part 1Lakhmir Singh | Force and Laws of Motion Part 1Lakhmir Singh | Force and Laws of Motion Part 142 mins
Test your knowledge of Laws of motionTest your knowledge of Laws of motionTest your knowledge of Laws of motion44 mins
Quiz | Lets Say Hey to Newton!!!Quiz | Lets Say Hey to Newton!!!Quiz | Lets Say Hey to Newton!!!50 mins
NCERT | Newton's Second LawNCERT | Newton's Second LawNCERT | Newton's Second Law41 mins
Lakhmir Singh | Force and Laws of Motion Part-3Lakhmir Singh | Force and Laws of Motion Part-3Lakhmir Singh | Force and Laws of Motion Part-347 mins
What is Impulse?What is Impulse?What is Impulse?44 mins
Understanding Action-Reaction PairUnderstanding Action-Reaction PairUnderstanding Action-Reaction Pair36 mins
Quiz | Become a Master of Conservation of MomentumQuiz | Become a Master of Conservation of MomentumQuiz | Become a Master of Conservation of Momentum32 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses