A particle of mass 0.1 ,kg is subjected to a | vedclass

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

Question

(D) According to the work-energy theorem,the total work done by the force is equal to the change in kinetic energy of the particle.Work done = Area un

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(D) According to the work-energy theorem,the total work done by the force is equal to the change in kinetic energy of the particle.Work done = Area under the $F-x$ graph.The area under the graph is a trapezoid with parallel sides of length $12 \,m$ and $(8-4) = 4 \,m$,and height $10 \,N$.Area = $\frac{1}{2} 	imes (	ext{sum of parallel sides}) 	imes 	ext{height}$Area = $\frac{1}{2} 	imes (12 + 4) 	imes 10 = \frac{1}{2} 	imes 16 	imes 10 = 80 \,J$.Since the particle starts from rest,initial kinetic energy $K_i = 0$.Final kinetic energy $K_f = \frac{1}{2} m v^2 = \frac{1}{2} 	imes 0.1 	imes v^2$.By work-energy theorem,$W = K_f - K_i$.$80 = \frac{1}{2} 	imes 0.1 	imes v^2$.$80 = 0.05 	imes v^2$.$v^2 = \frac{80}{0.05} = 1600$.$v = \sqrt{1600} = 40 \,m/s$.

$A$ particle of mass $0.1 \,kg$ is subjected to a force which varies with distance as shown. If it starts its journey from rest at $x=0$,then its velocity at $x=12 \,m$ is .............. $m/s$.

Similar Questions

Which of the following statements is not correct regarding calcination?

$NPN$ transistors are preferred to $PNP$ transistors because they have

Which of the following is the strongest $o-p$ directing group?

Which one of the following characters is not typical of the class Mammalia?

$A$ plank with a small block on top of it is undergoing vertical $SHM$. Its period is $2 \, s$. The minimum amplitude at which the block will separate from the plank is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module