(A) According to the Work-Energy Theorem,the work done by the retarding force is equal to the change in kinetic energy of the car.$W = \Delta K$$F \cd

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(A) According to the Work-Energy Theorem,the work done by the retarding force is equal to the change in kinetic energy of the car.$W = \Delta K$$F \cdot s = \frac{1}{2}mv^2$Since $F$ and $v$ are constant,we have $s \propto m$.Let the initial mass be $m_1 = m$ and the final mass be $m_2 = m + 0.5m = 1.5m$.Let the initial distance be $s_1 = s$ and the final distance be $s_2$.Using the proportionality $s_2 / s_1 = m_2 / m_1$,we get:$s_2 / s = 1.5m / m$$s_2 = 1.5s$.Therefore,the car will come to rest at a distance of $1.5s$.

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

Easy

$A$ car comes to rest after traveling a distance $s$ under a constant retarding force $F$. If the mass of the car is increased by $50\%$,at what distance will the car come to rest,assuming the same retarding force $F$ and initial velocity $v$?

A
$1.5s$
B
$2s$
C
$s$
D
$2.5s$

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Work, Energy, Power and Collision

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Work Energy Theorem and Conservation of Mechanical Energy

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$A$ car comes to rest after traveling a distance $s$ under a constant retarding force $F$. If the mass of the car is increased by $50\%$,at what distance will the car come to rest,assuming the same retarding force $F$ and initial velocity $v$?

Similar Questions

$A$ body of mass $2 \, kg$ is projected vertically upwards with a kinetic energy of $490 \, J$. At what height will its kinetic energy become half of its initial value? $(g = 9.8 \, m/s^2)$

$A$ particle of mass $2 \,kg$ travels along a straight line with velocity $v = a \sqrt{x}$,where $a$ is a constant. The work done by the net force during the displacement of the particle from $x = 0$ to $x = 4 \,m$ is .........

$A$ bullet is fired at a target with velocity $V$. Its velocity decreases from $V$ to $V/2$ when it penetrates $30 \ cm$ into the target. Through what additional thickness will it penetrate further into the target before coming to rest (in $cm$)?

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