(D) Using the work-energy theorem,the work done by the constant force $F$ to stop the car is equal to the change in kinetic energy: $W = \Delta K$. Si

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(D) Using the work-energy theorem,the work done by the constant force $F$ to stop the car is equal to the change in kinetic energy: $W = \Delta K$. Since the final velocity is $0$,the work done is $F \cdot S = \frac{1}{2} m u^2$. Therefore,$S = \frac{m u^2}{2F}$. Since $m$ and $F$ are constant,we have $S \propto u^2$. Given $u_1 = 10 \, m/s$ and $S_1 = 20 \, m$. For $u_2 = 30 \, m/s$,the ratio is $\frac{S_2}{S_1} = (\frac{u_2}{u_1})^2$. $\frac{S_2}{20} = (\frac{30}{10})^2 = 3^2 = 9$. $S_2 = 9 \times 20 = 180 \, m$.

Class 11 Physics Work, Energy, Power and Collision Work Energy Theorem and Conservation of Mechanical Energy

Medium

$A$ car moving with a velocity of $10 \, m/s$ can be stopped by the application of a constant force $F$ in a distance of $20 \, m$. If the velocity of the car is $30 \, m/s$,it can be stopped by this same force in what distance (in $, m$)?

A
$6.67$
B
$20$
C
$60$
D
$180$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Work, Energy, Power and Collision

Subtopic

Work Energy Theorem and Conservation of Mechanical Energy

Correct the following sentence: 'System cannot possess mechanical energy but possesses work.'

Difficult

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$A$ 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 $\frac{h}{2}$

Medium

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$A$ body of mass $5 \ kg$ is placed on a horizontal surface with a coefficient of friction $\mu = 0.2$. It is pulled by a horizontal force of $25 \ N$ for a distance of $10 \ m$. The kinetic energy gained by the body is ..... $J$. (Take $g = 10 \ m/s^2$)

Medium

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$A$ heavy stone is thrown with speed $v$ from a cliff of height $h$. How and in which direction should it be thrown so that the stone hits the ground with maximum speed?

Easy

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$A$ body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy $K$ with the distance travelled $x$?

EasyAIIMS 2016

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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 $\frac{h}{2}$

$A$ car moving with a velocity of $10 \, m/s$ can be stopped by the application of a constant force $F$ in a distance of $20 \, m$. If the velocity of the car is $30 \, m/s$,it can be stopped by this same force in what distance (in $, m$)?

Similar Questions

Correct the following sentence: 'System cannot possess mechanical energy but possesses work.'

$A$ 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 $\frac{h}{2}$

$A$ body of mass $5 \ kg$ is placed on a horizontal surface with a coefficient of friction $\mu = 0.2$. It is pulled by a horizontal force of $25 \ N$ for a distance of $10 \ m$. The kinetic energy gained by the body is ..... $J$. (Take $g = 10 \ m/s^2$)

$A$ heavy stone is thrown with speed $v$ from a cliff of height $h$. How and in which direction should it be thrown so that the stone hits the ground with maximum speed?

$A$ body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy $K$ with the distance travelled $x$?

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$A$ 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 $\frac{h}{2}$