Answer : The correct answer is 74.83 m/s .
The kinetic energy is energy possessed by any mass which is moving or have some speed . It is product of mass and velocity . It is expressed as :
[tex] KE = \frac{1}{2} * m* v^2 [/tex]
Where KE = kinetic energy in J or [tex] kg\frac{m^2}{s^2} [/tex] m = mass in Kg v = speed in m/s²
Unit of KE is Joules (J) .
Givne : KE = 2100 J mass = 0.75 kg v = ?
Plugging value in KE formula =>
[tex] 2100 J = \frac{1}{2} * 0.75 Kg * v^2 [/tex]
[tex] 2100 J = 0.375 Kg * v^2 [/tex]
Dividing both side by 0.375 kg =>
[tex] \frac{2100 J}{0.375 Kg} = \frac{0.375 Kg}{0.375 Kg } * v^2 [/tex]
[tex] v^2 = 5600 \frac{m^2}{s^2} [/tex]
[tex] v= 74.83 \frac{m}{s} [/tex]
