Two trucks have the same velocity but different masses. Truck 1 has a mass of 200kg and truck 2 has a mass of 500kg . Which truck has the most kinetic energy?

A. Truck 2
B. Both have the same
C. Cannot determine (not correct)
D. Truck 1

Respuesta :

Your answer would be Truck 2.

Truck 2 has more kinetic energy than Truck 1

The Kinetic energy of mass m moving with velocity v  is given by = [tex]1/2\times m\times v^{2}[/tex]

Let the mass of Truck 1 is [tex]m_{1}[/tex] = 200 Kg

Let the mass of Truck 2 is [tex]m_2[/tex] = 500 kg

Let Kinectic energy of Truck 1 is [tex]KE_1[/tex]

Let Kinectic energy of Truck 2 is [tex]KE_2[/tex]

[tex]KE_1[/tex]/[tex]KE_2[/tex] =[tex]1/2\times m_1\times v_1^{2}[/tex]/[tex]1/2\times m_2\times v_2^{2}[/tex]

 Given that the velocity of both the trucks is equal hence

[tex]v_1=v_2[/tex] , hence both velocities will cancel out.

since  

[tex]m_2[/tex] >[tex]m_{1}[/tex] as 500 kg > 200 kg

also in this case Kinetic Energy is directly proportional to the mass

so

[tex]KE_2[/tex] > [tex]KE_1[/tex]

For more information you can refer to the link

https://brainly.com/question/24607205