The potential energy of a system increases if | vedclass

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

Question

(A) The relationship between a conservative force and potential energy is given by $F_{	ext{cons}} = -\frac{dU}{dx}$.This implies $F_{	ext{cons}} \c

Vedclass · Accepted Answer

by the system against a conservative force.

Vedclass · Answer

(A) The relationship between a conservative force and potential energy is given by $F_{	ext{cons}} = -\frac{dU}{dx}$.This implies $F_{	ext{cons}} \cdot dx = -dU$.The work done by a conservative force is $W_{	ext{cons}} = \int F_{	ext{cons}} \cdot dx = -\Delta U$.Therefore,$\Delta U = -W_{	ext{cons}}$.If work is done by the system against a conservative force,the external work done is positive,which results in an increase in the potential energy of the system $(\Delta U > 0)$.

Column-$I$	Column-$II$
$(1)$ Conservative force	$(a)$ Frictional force
$(2)$ Non-conservative force	$(b)$ Gravitational force
	$(c)$ Internal force

The potential energy of a system increases if work is done

Similar Questions

When a conservative force does positive work on a body,

The potential energy of a particle varies with distance $x$ as shown in the graph. Select the wrong statement.

Obtain the relation between potential energy and force for a conservative force.

Match Column-$I$ with Column-$II$.

Column-$I$ Column-$II$

$(1)$ Conservative force $(a)$ Frictional force

$(2)$ Non-conservative force $(b)$ Gravitational force

$(c)$ Internal force

Give three definitions of conservative force.

Vedclass Test Series

Exam Paper Generator

Online Exam Module