A bouncing ball of mass 200 ,g falls from a h | vedclass

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

Question

(D) Given: Mass of the ball $m = 200 \,g = 0.2 \,kg$, height $h = 5 \,m$, $g = 10 \,m/s^2$.Velocity just before the first impact: $v_1 = \sqrt{2gh} =

Vedclass · Accepted Answer

$\frac{21}{4} \,kg \,m/s$

Vedclass · Answer

(D) Given: Mass of the ball $m = 200 \,g = 0.2 \,kg$, height $h = 5 \,m$, $g = 10 \,m/s^2$.Velocity just before the first impact: $v_1 = \sqrt{2gh} = \sqrt{2 	imes 10 	imes 5} = 10 \,m/s$.Velocity just after the first impact: $v_1' = \frac{v_1}{2} = 5 \,m/s$.Momentum imparted in the first impact: $p_1 = m(v_1 - (-v_1')) = m(v_1 + v_1') = 0.2(10 + 5) = 3 \,kg \,m/s$.Velocity just before the second impact: $v_2 = v_1' = 5 \,m/s$.Velocity just after the second impact: $v_2' = \frac{v_2}{2} = 2.5 \,m/s$.Momentum imparted in the second impact: $p_2 = m(v_2 + v_2') = 0.2(5 + 2.5) = 1.5 = \frac{3}{2} \,kg \,m/s$.Velocity just before the third impact: $v_3 = v_2' = 2.5 \,m/s$.Velocity just after the third impact: $v_3' = \frac{v_3}{2} = 1.25 \,m/s$.Momentum imparted in the third impact: $p_3 = m(v_3 + v_3') = 0.2(2.5 + 1.25) = 0.75 = \frac{3}{4} \,kg \,m/s$.Total momentum imparted: $p = p_1 + p_2 + p_3 = 3 + 1.5 + 0.75 = 5.25 = \frac{21}{4} \,kg \,m/s$.

$A$ bouncing ball of mass $200 \,g$ falls from a height of $5 \,m$ onto a horizontal ground. After every impact with the ground, the velocity of the ball decreases by $\frac{1}{2}$ times. The total momentum the ball imparts to the ground after $3$ impacts is (Let $g=10 \,m/s^2$):

Similar Questions

$A$ mass $m$ is tied to one end of a spring and whirled in a horizontal circle with constant angular velocity. The elongation in the spring is $1 \ cm$. If the angular speed is doubled,the elongation in the spring is $6 \ cm$. The original length of the spring is (in $cm$)

$A$ motor car moving with velocity $7 \ m/s$ stops in $10 \ m$ distance when brakes are applied. What is the relation between the resistance force $(R)$ and the weight $(W)$ of the car? (Take value of $g = 9.8 \ m/s^2$)

In which of the following graphs,the total change in momentum is zero?

$A$ man can move on a horizontal plank supported symmetrically as shown. The variation of normal reaction on support $A$ with distance $x$ of the man from the end of the plank is best represented by:

Vedclass Test Series

Exam Paper Generator

Online Exam Module