Question

An object has a kinetic energy of 25 J and a mass of 34 kg , how fast is the object
moving?

Answer 1

Given :

mass (m) = 34 kg

Kinetic energy (KE) = 25 J

To Find :

The velocity of the object

Solution :

Kinetic energy of the object = $\frac{1}{2} mv^{2}$ (where v = velocity)

or,                              25         = $\frac{1}{2}$ * 34 * $v^{2}$

or,                               $v^{2}$         = 1.47

or,                               v          =  $\sqrt{1.47}$

∴                                 v          =   1.21 m/sec

∴ The velocity of the object is 1.21 m/sec.

Answer 2

Given:

Kinetic energy of object = 25 J

Mass of object = 34 kg

To Find: Speed of the object

Calculation:

The formula for kinetic energy of object is given by

$K.E = \frac{1}{2} *m*v^{2} \\25= \frac{1}{2} *34*v^{2}\\v^{2} = \frac{25}{17} \\v^{2} =1.47\\v = 1.21 m/s$

Answer:

The velocity of object is 1.212 m/s.