An unloaded bus and a loaded bus are both moving with the same kinetic energy. The mass of the latter is twice that of the former. Brakes are applied to both, so as to exert equal retarding force. If $x_{1}$ and $x_{2}$ be the distance covered by the two buses respectively before coming to a stop, then

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A

If the vehicle stops by retarding force then
$v^{2} = 2 a x \Rightarrow \frac{m v^{2}}{2} = m a x$
The ratio of stopping distance $\frac{x_{1}}{x_{2}} = \frac{E_{1}}{E_{2}} .$

But in the given problem kinetic energy of bus and car are given same i.e. $E_{1} = E_{2} .$

$∴ x_{1} = x_{2}$

Suggest Corrections

Similar questions

Q. A car and truck are moving with same kinetic energy. Equal retarding forces are applied on both of these using brakes. The distances travelled by them before coming to rest:

A bus can be stopped by applying a retarding force F when it is moving with a speed v on a level road. The distance covered by it before coming to rest is s. If the load of the bus increases by 50 % because of passengers, for the same speed and same retarding force, the distance covered by the bus to come to rest shall be

An unloaded bus can be stopped by applying brakes on straight road after covering a distance x. Suppose the passanger adds 50% of its weight as the load and the braking force remains the same how far will the bus go after the application of the brakes ? (Velocity of the bus in both case is same)

Q. An unloaded bus can be stopped by applying brakes on straight road after covering a distance

x

. Suppose the passengers add

50 %

of its weight as the load and the braking force remains unchanged, how far will the bus go after the application of the brakes? (Velocity of bus in both case is same)

Q. Two cars A and B have masses

m_{A}

and

m_{B}

respectively, with

m_{A} > m_{B}

. Both the cars are moving in the same direction with equal kinetic energy,. If equal braking force is applied on both, then before coming to rest

Join BYJU'S Learning Program

An unloaded bus and a loaded bus are both moving with the same kinetic energy. The mass of the latter is twice that of the former. Brakes are applied to both, so as to exert equal retarding force. If x1and x2 be the distance covered by the two buses respectively before coming to a stop, then

The correct option is A If the vehicle stops by retarding force then v2=2ax⇒mv22=max The ratio of stopping distance x1x2=E1E2. But in the given problem kinetic energy of bus and car are given same i.e. E1=E2. ∴x1=x2