Question

An object has a kinetic energy of 249 J and a momentum of magnitude 24.6 kg · m/s.(a) Find the speed of the object.

Answer 1

Answer:

The speed of the object is 20.24 m/s.  

Explanation:

For a body of mass 'm' travelling with velocity 'v' , its kinetic energy is gievn by -

$KE = \frac{1}{2}mv^{2}$ --- 1

The momentum of body is given by -

$p = mv$ ---- 2

Dividing equation 1 and 2 , we get -

$\frac{KE}{p} = \frac{v}{2}$

Given that ,

KE = 249 J

p   = 24.6 kg.m/s

Substituting the 2 values in the above equation , we get -

v = 20.24 m/s.