A ball of mass 0.15 ; kg hits the wall with a | vedclass

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

Question

(B) The initial momentum of the ball is $\vec{P}_i = m \vec{v}_i = 0.15 	imes 12 \hat{i} = 1.8 \hat{i} \; kg \cdot m/s$.The final momentum of the bal

Vedclass · Accepted Answer

$0.036$

Vedclass · Answer

(B) The initial momentum of the ball is $\vec{P}_i = m \vec{v}_i = 0.15 	imes 12 \hat{i} = 1.8 \hat{i} \; kg \cdot m/s$.The final momentum of the ball after bouncing back is $\vec{P}_f = m \vec{v}_f = 0.15 	imes (-12 \hat{i}) = -1.8 \hat{i} \; kg \cdot m/s$.The change in momentum (impulse) is $\Delta \vec{P} = \vec{P}_f - \vec{P}_i = -1.8 \hat{i} - 1.8 \hat{i} = -3.6 \hat{i} \; kg \cdot m/s$.The magnitude of the change in momentum is $|\Delta \vec{P}| = 3.6 \; kg \cdot m/s$.According to the impulse-momentum theorem,the impulse is equal to the force multiplied by the time duration: $|\Delta \vec{P}| = F \Delta t$.Substituting the given values: $3.6 = 100 	imes \Delta t$.Therefore,$\Delta t = \frac{3.6}{100} = 0.036 \; s$.

$A$ ball of mass $0.15 \; kg$ hits the wall with an initial speed of $12 \; m/s$ and bounces back without changing its initial speed. If the force applied by the wall on the ball during the contact is $100 \; N$,calculate the time duration of the contact of the ball with the wall in seconds.

Similar Questions

$A$ body whose momentum is constant must have constant

$A$ ball of mass $0.15 \, kg$ is dropped from a height $10 \, m$,strikes the ground,and rebounds to the same height. The magnitude of the impulse imparted to the ball is $(g = 10 \, m/s^2)$ nearly: (in $kg \cdot m/s$)

$A$ force of $50 \text{ dynes}$ acts on a body of mass $5 \text{ g}$ which is at rest for an interval of $3 \text{ seconds}$. The impulse is:

$A$ mass of $1 \ kg$ is suspended by a string $A$. Another string $C$ is connected to its lower end (see figure). If a sudden jerk is given to $C$,then

$A$ lead ball strikes a wall and falls down,while a tennis ball having the same mass and velocity strikes the wall and bounces back. Check the correct statement.

Vedclass Test Series

Exam Paper Generator

Online Exam Module