A person brings a mass of 1 kg from infinity | 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 work done by all forces is equal to the change in kinetic energy: $W_{ext} + W_{grav} = \Delta K.$Here,$W

Vedclass · Accepted Answer

$-10$

Vedclass · Answer

(D) According to the work-energy theorem,the work done by all forces is equal to the change in kinetic energy: $W_{ext} + W_{grav} = \Delta K.$Here,$W_{ext} = -5.5 \ J$ is the work done by the person.The work done by the gravitational force is $W_{grav} = -\Delta U = -(U_A - U_{\infty}) = -(m V_A - 0) = -m V_A.$The change in kinetic energy is $\Delta K = K_f - K_i = \frac{1}{2} m v^2 - 0 = \frac{1}{2} 	imes 1 	imes (3)^2 = 4.5 \ J.$Substituting these into the work-energy theorem: $-5.5 + (-1 	imes V_A) = 4.5.$$-V_A = 4.5 + 5.5 = 10 \ J/kg.$Therefore,$V_A = -10 \ J/kg.$

$A$ person brings a mass of $1 \ kg$ from infinity to a point $A.$ Initially,the mass was at rest but it moves at a speed of $3 \ m/s$ as it reaches $A.$ The work done by the person on the mass is $-5.5 \ J.$ The gravitational potential at $A$ is $:$ (in $J/kg$)

Similar Questions

Write an equation for the potential energy of a satellite. Why is the potential energy of a satellite negative?

If the gravitational field in space is given as $E = -\frac{K}{r^2}$. Taking the reference point at $r = 2\,cm$ with gravitational potential $V = 10\,J/kg$. Find the gravitational potential at $r = 3\,cm$ in $SI$ units. (Given: $K = 6\,J\cdot cm/kg$)

$A$ mass of $50 \, \text{kg}$ is placed at the centre of a uniform spherical shell of mass $100 \, \text{kg}$ and radius $50 \, \text{m}$. If the gravitational potential at a point $25 \, \text{m}$ from the centre is $V \, \text{J/kg}$,find the value of $V$.

If $W_1, W_2$ and $W_3$ represent the work done in moving a particle from $A$ to $B$ along three different paths $1, 2$ and $3$ (as shown in the figure) in the gravitational field of the point mass '$m$',find the correct relation between '$W_1$','$W_2$' and '$W_3$'.

Give the formula of gravitational potential at distance $r$ $(r > R_E)$ from the centre of the Earth.

Vedclass Test Series

Exam Paper Generator

Online Exam Module