Select the incorrect statement regarding the | vedclass

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

Question

(C) Mechanical energy $E$ is defined as the sum of kinetic energy $K$ and potential energy $U$,so $E = K + U$. Thus,statement $(A)$ is correct.Mechani

Vedclass · Accepted Answer

Work done by a conservative force is always equal to the negative of the change in mechanical energy.

Vedclass · Answer

(C) Mechanical energy $E$ is defined as the sum of kinetic energy $K$ and potential energy $U$,so $E = K + U$. Thus,statement $(A)$ is correct.Mechanical energy is conserved only when only conservative forces do work. If a non-conservative force (like friction) acts on the system,it typically changes the mechanical energy (often dissipating it as heat). Therefore,statement $(B)$ is incorrect.The work done by a conservative force $W_c$ is equal to the negative change in potential energy,i.e.,$W_c = -\Delta U$. Since $\Delta E = \Delta K + \Delta U$,if only conservative forces act,$\Delta E = 0$. Statement $(C)$ claims $W_c = -\Delta E$,which is only true if $\Delta K = 0$. In general,$W_c = -\Delta U$,not $-\Delta E$. Thus,statement $(C)$ is also incorrect.Since both $(B)$ and $(C)$ are incorrect,and the question asks for the incorrect statement,there is an ambiguity in the provided options. However,based on standard physics definitions,$(C)$ is fundamentally incorrect as a general principle.

Column-$I$	Column-$II$
$(1)$ Potential Energy $=$ Kinetic Energy	$(a)$ At height $\frac{2h}{3}$
$(2)$ Potential Energy $= 2 \times$ Kinetic Energy	$(b)$ Constant at every point
	$(c)$ At height $\frac{h}{2}$

Select the incorrect statement regarding the mechanical energy of a body/system.

Similar Questions

$A$ body of mass $6 \,kg$ is acted upon by a force which causes a displacement in it given by $x = \frac{t^2}{4} \,m$, where $t$ is the time in seconds. The work done by the force in $2 \,seconds$ is: (in $\,J$)

$A$ body of mass $1 \text{ kg}$ moves along a straight line with a velocity $v = 2x^2$. The work done by the body during displacement from $x = 0$ to $5 \text{ m}$ is . . . . . . $J$.

$A$ body of mass $2 \,kg$ moving in $X-Y$ plane has a potential energy given by $U = (6x + 8y) \,J$. The body is at rest at the point $(3, 2) \,m$. The work done by the body to reach another position after $2 \,s$ is: (in $\,J$)

$A$ body falls freely from a height $h$ in a gravitational field. Match the following:

Column-$I$ Column-$II$

$(1)$ Potential Energy $=$ Kinetic Energy $(a)$ At height $\frac{2h}{3}$

$(2)$ Potential Energy $= 2 \times$ Kinetic Energy $(b)$ Constant at every point

$(c)$ At height $\frac{h}{2}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module