A particle is acted upon by a force whose com | vedclass

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

Question

(D) The change in momentum $\Delta \vec{p}$ is equal to the impulse $\vec{J} = \int \vec{F} dt$. This is equal to the area under the force-time graph

Vedclass · Accepted Answer

$5\sqrt{2}\,kg\,m/s$

Vedclass · Answer

(D) The change in momentum $\Delta \vec{p}$ is equal to the impulse $\vec{J} = \int \vec{F} dt$. This is equal to the area under the force-time graph for each component.For the $x$-component: $\Delta p_x = 	ext{Area} = 30\,N 	imes 0.1\,s = 3\,N\cdot s$.For the $y$-component: $\Delta p_y = 	ext{Area} = \frac{1}{2} 	imes 80\,N 	imes 0.1\,s = 4\,N\cdot s$.For the $z$-component: $\Delta p_z = 	ext{Area} = -50\,N 	imes 0.1\,s = -5\,N\cdot s$.The magnitude of the total change in momentum is $\Delta p = \sqrt{(\Delta p_x)^2 + (\Delta p_y)^2 + (\Delta p_z)^2}$.$\Delta p = \sqrt{3^2 + 4^2 + (-5)^2} = \sqrt{9 + 16 + 25} = \sqrt{50} = 5\sqrt{2}\,kg\,m/s$.

$A$ particle is acted upon by a force whose components' variations with time are shown in the diagrams. The magnitude of the change in momentum of the particle in $0.1\,s$ is:

Similar Questions

$A$ bullet of $4 \, g$ mass is fired from a gun of mass $4 \, kg$. If the bullet moves with the muzzle speed of $50 \, ms^{-1}$,the impulse imparted to the gun and the velocity of recoil of the gun are:

$A$ book is lying on the table. What is the angle between the action of the book on the table and the reaction of the table on the book ............ $^o$

$A$ man is at rest in the middle of a pond on perfectly smooth ice. He can get himself to the shore by making use of Newton's

$A$ force of $10 \, N$ acts on a body of mass $20 \, kg$ for $10 \, s$. The change in its momentum is ........... $kg \cdot m/s$.

$A$ cricket ball of mass $0.25 \,kg$ with speed $10 \,m/s$ collides with a bat and returns with the same speed within $0.01 \,s$. The force exerted on the bat is: (in $\,N$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module