An unloaded bus can be stopped by applying br | vedclass

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Question

(B) According to the Work-Energy Theorem,the work done by the braking force is equal to the change in kinetic energy of the bus.For the unloaded bus o

Vedclass · Accepted Answer

$1.5 x$

Vedclass · Answer

(B) According to the Work-Energy Theorem,the work done by the braking force is equal to the change in kinetic energy of the bus.For the unloaded bus of mass $m$:$W = F \cdot x = \frac{1}{2} m v^2$  --- (Equation $1$)For the loaded bus,the new mass is $m' = m + 0.5 m = 1.5 m$. Let the new stopping distance be $x'$.$W' = F \cdot x' = \frac{1}{2} (1.5 m) v^2$ --- (Equation $2$)Dividing Equation $2$ by Equation $1$:$\frac{F \cdot x'}{F \cdot x} = \frac{\frac{1}{2} (1.5 m) v^2}{\frac{1}{2} m v^2}$$\frac{x'}{x} = 1.5$$x' = 1.5 x$Therefore,the bus will travel a distance of $1.5 x$.

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 $\frac{h}{2}$

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