A bullet of mass 20, g travelling horizontall | vedclass

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

Question

Mass of bullet $m=0.02 \mathrm{kg}$

Initial velocity of bullet $v_{1}=500 \mathrm{m} / \mathrm{s}$

Mass of block $M=10 \mathrm{kg}$

Initial v

Vedclass · Accepted Answer

$0.16$

Vedclass · Answer

Mass of bullet $m=0.02 \mathrm{kg}$

Initial velocity of bullet $v_{1}=500 \mathrm{m} / \mathrm{s}$

Mass of block $M=10 \mathrm{kg}$

Initial velocity $v_{2}=0$

Final velocity $v_{1}^{\prime}=100 \mathrm{m} / \mathrm{s}$

Now, the final velocity of block when bullet comes out

If block velocity $=v^{\prime}_{2}$

$m v_{1}+M v_{2}=m v_{1}+M v_{2}^{\prime}$

$0.02 	imes 500=0.02 	imes 100+10 v_{2}^{\prime}$

$v_{2}^{\prime}=\frac{10-2}{10}$

$v_{2}^{\prime}=0.8 \mathrm{m} / \mathrm{s}$

Now, after moving $0.2$ $\mathrm{m}$

Change in kinetic energy $=$ work done

$0-\frac{1}{2} 	imes 10 	imes(0.8)^{2}=-\mu 	imes 10 	imes 10 	imes 0.2$

$\mu=0.16$

Hence, the friction coefficient is $0.16$

Similar Questions

The frictional force acting on $1 \,kg$ block is .................. $N$

When a bicycle is in motion, the force of friction exerted by the ground on the two wheels is such that it acts

$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.

The limiting friction between two bodies in contact is independent of

Similar Questions

The frictional force acting on $1 \,kg$ block is .................. $N$

When a bicycle is in motion, the force of friction exerted by the ground on the two wheels is such that it acts

$Assertion$ : Angle of repose is equal to the angle of limiting friction. $Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.

The limiting friction between two bodies in contact is independent of

$Assertion$ : Angle of repose is equal to the angle of limiting friction.
$Reason$ : When the body is just at the point of motion, the force of friction in this stage is called limiting friction.