The work you put into something is the energy it has afterward (neglecting friction and other so-called non-conservative forces). This is called the work-energy theorem. Think of objects in a gravitational field as "energy piggy banks". If you put X joules of energy into it, that energy will be there as potential energy, stored for later. So if you do 144J of work to elevate the bucket from an initial position, what ever it is initially, the final gravitational energy is 144J greater than before.
The total momentum of the system (cart 1+ cart 2) is conserved after the collision.
The initial momentum is
(1)
where the negative sign in front of cart 2 momentum is due to the fact it goes in the opposite direction of cart 1.
The final momentum is
(2)
because the two carts stick together, therefore their total mass is (m1+m2) moving at the new speed vf.
By requiring that (1) is equal to (2), we can solve to find the final speed vf:
where the positive sign means the two carts are now going in the positive direction (i.e. the initial direction of cart 1)
Answer:
The acceleration increases.
Explanation:
From Newton's 2nd Law, we have . We can see that force is directly proportional to mass and acceleration. Therefore, as force increases, either mass or acceleration must increase as well, and vice versa. Since mass is maintained here, if you increase the force applied to the Frisbee, the acceleration will increase as well.