What is the velocity of the cart at the bottom of the track just before it hits the stop, if the mass of the cart is 0.250 kg and the work done is 5.00 joules?



Answer :

The velocity of the cart at the bottom of the track is equal to 6.32 m/s.

What is kinetic energy?

Kinetic energy can be described as the energy exhibited by a moving body due to its motion. Work will be done by an object in order to change its kinetic energy.

The kinetic energy of a moving body can be determined from the mathematical formula mentioned below:

K.E. = ½mv²     where  ‘v’ and 'm' are the velocity and mass of the object.

Potential Energy can be defined as the stored energy due to its position and is given by P.E = m×g×h where g, m, and h are the gravitational acceleration, mass, and height.

Given, the mass of the cart =, m= 0.250 Kg

The final velocity of the cart, v = 0

The work done = Change in KE =  5.00 J

½mv² -  ½mu² = 5.00

½mu² = 5

(1/2)× 0.25 ×(u)² = 5

u² = 40

u = 6.32 m/s

Learn more about kinetic energy, here:

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