A bullet moving with a velocity of 200 , cm/s | vedclass

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

Question

(C) Using the equation of motion $v^2 = u^2 - 2as$,where $v$ is the final velocity,$u$ is the initial velocity,$a$ is the retardation,and $s$ is the d

Vedclass · Accepted Answer

$300$

Vedclass · Answer

(C) Using the equation of motion $v^2 = u^2 - 2as$,where $v$ is the final velocity,$u$ is the initial velocity,$a$ is the retardation,and $s$ is the distance.Since the bullet comes to rest,$v = 0$.Therefore,$0 = u^2 - 2as$,which implies $u^2 = 2as$.Assuming the retardation $a$ is constant for the same block,we get $u^2 \propto s$.This gives the ratio: $\frac{u_2^2}{u_1^2} = \frac{s_2}{s_1}$.Given $u_1 = 200 \, cm/s$,$s_1 = 4 \, cm$,and $s_2 = 9 \, cm$.Substituting the values: $\frac{u_2^2}{200^2} = \frac{9}{4}$.Taking the square root on both sides: $\frac{u_2}{200} = \sqrt{\frac{9}{4}} = \frac{3}{2}$.$u_2 = 200 	imes \frac{3}{2} = 300 \, cm/s$.

$A$ bullet moving with a velocity of $200 \, cm/s$ penetrates a wooden block and comes to rest after traversing $4 \, cm$ inside it. What velocity is needed for travelling a distance of $9 \, cm$ in the same block? (in $cm/s$)

Similar Questions

$A$ body is moving with uniform acceleration,describing $40 \, m$ in the first $5 \, s$ and $65 \, m$ in the next $5 \, s$. Its initial velocity will be . . . . . . $m/s$.

If the velocity $v$ of a particle moving along a straight line decreases linearly with its displacement $s$ from $20 \ m/s$ to a value approaching zero at $s=30 \ m$,then the acceleration of the particle at $s=15 \ m$ is $........$

$A$ body of mass $4 \,kg$ is accelerated by a constant force. It travels a distance of $5 \,m$ in the first second and a distance of $2 \,m$ in the third second. The force acting on the body is: (in $\,N$)

$A$ particle starting from rest and moving with a uniform acceleration along a straight line covers distances $a$ and $b$ in successive intervals of $p$ and $q$ seconds. The acceleration of the particle is

Which of the following decreases,in motion on a straight line,with constant retardation?

Vedclass Test Series

Exam Paper Generator

Online Exam Module