Question

what is the relationship between the initial work done on the cart and the velocity of the cart?

Answer 1

The relationship between initial work done on a cart and the velocity of the cart is $W= \frac{1}{2} m(v_f^2 -v_0^2)$.

What is work-energy theorem?

• According to work-energy theorem, the work done on an object is equal to the change in mechanical energy of the object.

The relationship between initial work done on a cart and the velocity of the cart is determined by applying work-energy theorem as follows;

$W = \Delta K.E\\\\W = \frac{1}{2}mv_f^2 - \frac{1}{2}mv_0^2\\\\ W= \frac{1}{2} m(v_f^2 -v_0^2)$

where;

• $v_f$ is the final velocity of the cart
• $v_0$ is the initial velocity of the cart

Thus, the relationship between initial work done on a cart and the velocity of the cart is $W= \frac{1}{2} m(v_f^2 -v_0^2)$.

Learn more about work-energy theorem here: https://brainly.com/question/22236101