A time-varying force acts on a ball of mass 1 | vedclass

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

Question

(B) The impulse imparted to the ball is equal to the area under the $F-t$ graph.Impulse = Area of the triangle = $\frac{1}{2} 	imes 	ext{base} 	ime

Vedclass · Accepted Answer

$210$

Vedclass · Answer

(B) The impulse imparted to the ball is equal to the area under the $F-t$ graph.Impulse = Area of the triangle = $\frac{1}{2} 	imes 	ext{base} 	imes 	ext{height}$Impulse = $\frac{1}{2} 	imes (2 	imes 10^{-3} \ s) 	imes (20 	imes 10^3 \ N)$Impulse = $20 \ N \ s = 20 \ kg \ m \ s^{-1}$According to the impulse-momentum theorem,impulse is equal to the change in momentum $(\Delta p)$:$\Delta p = m v - m u = 	ext{Impulse}$Given: mass $m = 100 \ g = 0.1 \ kg$,initial velocity $u = 10 \ m \ s^{-1}$.$0.1 	imes v - 0.1 	imes 10 = 20$$0.1 	imes v - 1 = 20$$0.1 	imes v = 21$$v = \frac{21}{0.1} = 210 \ m \ s^{-1}$

$A$ time-varying force acts on a ball of mass $100 \ g$ for $2 \ ms$. The force versus time curve is shown below. If the initial speed of the ball is $10 \ m \ s^{-1}$,then the speed of the ball after $2 \ ms$ is: (in $m \ s^{-1}$)

Similar Questions

Force is the mutual interaction between the bodies according to:

$A$ 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

$A$ particle moves in the $x-y$ plane under the action of a force $\vec F$ such that the value of its linear momentum $\vec P$ at any time $t$ is $P_x = 2 \cos t$ and $P_y = 2 \sin t$. The angle between $\vec F$ and $\vec P$ at a given time $t$ will be:

$A$ particle moves in the $x-y$ plane under the influence of a force $\vec{F}$ such that its linear momentum is $\vec{P}(t) = \hat{i} \cos(kt) - \hat{j} \sin(kt)$. If $k$ is a constant,the angle between $\vec{F}$ and $\vec{P}$ will be:

$A$ body of mass $m_1$ exerts a force on another body of mass $m_2$. If the magnitude of acceleration of $m_2$ is $a_2$,then the magnitude of the acceleration of $m_1$ is (considering only two bodies in space).

Vedclass Test Series

Exam Paper Generator

Online Exam Module