Question
The velocity of a car is doubled. What is the ratio of percentage increase in kinetic energy to the percentage increase in momentum?
Solution
Let u be the initial velocity of the car.
On doubling its velocity,
Final velocity becomes 2u.
Therefore,
Initial momentum,
Final momentum,
Percentage increase in momentum is,
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Initial kinetic energy,
Final kinetic energy,![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Percentage increase in kinetic energy is,
Ratio of percentage is,
Now,
On doubling its velocity,
Final velocity becomes 2u.
Therefore,
Initial momentum,
Final momentum,
Percentage increase in momentum is,
Initial kinetic energy,
Final kinetic energy,
Percentage increase in kinetic energy is,
Ratio of percentage is,
Now,
