Question

A100 kg car is moving with a velocity of 100 m/s. How fast should a 250 kg motorcycle move to have the same kinetic energy as the truck

Answer 1

Answer on Question 48735, Physics, Mechanics — Kinematics — Dynamics A100 kg car is moving with a velocity of 100 m/s. How fast should a 250 kg motorcycle move to have the same kinetic energy as the truck

Solution

Assume $m_{1}$ and $v_{1}$ is mass and velocity of car and $m_{2}$ and $v_{2}$ is mass and velocity of motorcycle. Then

$\frac{m_{1}v_{1}^{2}}{2}=\frac{m_{2}v_{2}^{2}}{2}$

$v_{2}=v_{1}\sqrt{\frac{m_{1}}{m_{2}}}=100\cdot\sqrt{\frac{100}{250}}\approx 63.2\,m/s$

http://www.AssignmentExpert.com/