(A) According to the law of conservation of linear momentum during the collision:$m v_1 = (m + M) v'$$v' = \frac{m v_1}{m + M} \quad \dots(i)$Accordin

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) According to the law of conservation of linear momentum during the collision:$m v_1 = (m + M) v'$$v' = \frac{m v_1}{m + M} \quad \dots(i)$According to the law of conservation of mechanical energy for the block-bullet system after the collision:$\frac{1}{2} (m + M) (v')^2 = (m + M) gh$$(v')^2 = 2gh$$v' = \sqrt{2gh} \quad \dots(ii)$Substituting the value of $v'$ from equation $(ii)$ into equation $(i)$:$\sqrt{2gh} = \frac{m v_1}{m + M}$$v_1 = \frac{m + M}{m} \sqrt{2gh}$

Class 11 Physics Work, Energy, Power and Collision Mix Examples-Work, Energy, Power and Collision

Difficult

$A$ bullet of mass $m$ moving with velocity $v_1$ strikes a wooden block of mass $M$ suspended as shown in the figure and gets embedded in it. If the block rises to a height $h$,what is the initial velocity of the bullet?

A
$\frac{m + M}{m} \sqrt{2gh}$
B
$\sqrt{2gh}$
C
$\frac{M + m}{M} \sqrt{2gh}$
D
$\frac{m}{M + m} \sqrt{2gh}$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Work, Energy, Power and Collision

Subtopic

Mix Examples-Work, Energy, Power and Collision

Is it possible for the kinetic energy of an object not to increase when work is done on it? If so,when?

Difficult

View Solution

Is the statement "The work done by object $B$ on object $A$ is equal and opposite to the work done by object $A$ on object $B$" correct?

Medium

View Solution

Can the kinetic energy of an object be negative? Can the potential energy be negative?

Medium

View Solution

Identify the type of collision for the following cases:
$(a)$ Collision between a negatively charged object and a positively charged object.
$(b)$ Collision between two very large objects.
$(c)$ Collision between two quartz balls.

Medium

View Solution

$A$ ball moving with speed $v$ hits another identical ball at rest. The two balls stick together after the collision. If the specific heat of the material of the balls is $S$,the temperature rise resulting from the collision is

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ bullet of mass $m$ moving with velocity $v_1$ strikes a wooden block of mass $M$ suspended as shown in the figure and gets embedded in it. If the block rises to a height $h$,what is the initial velocity of the bullet?

Similar Questions

Is it possible for the kinetic energy of an object not to increase when work is done on it? If so,when?

Is the statement "The work done by object $B$ on object $A$ is equal and opposite to the work done by object $A$ on object $B$" correct?

Can the kinetic energy of an object be negative? Can the potential energy be negative?

Identify the type of collision for the following cases:$(a)$ Collision between a negatively charged object and a positively charged object.$(b)$ Collision between two very large objects.$(c)$ Collision between two quartz balls.

$A$ ball moving with speed $v$ hits another identical ball at rest. The two balls stick together after the collision. If the specific heat of the material of the balls is $S$,the temperature rise resulting from the collision is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Identify the type of collision for the following cases:
$(a)$ Collision between a negatively charged object and a positively charged object.
$(b)$ Collision between two very large objects.
$(c)$ Collision between two quartz balls.