A2.3 kg cart is rolling across a frictionless, horizontal track toward a 1.5 kg cart that is held initially at rest. the carts are loaded with strong magnets that cause them to attract to one another; thus, the speed of each cart increases. at a certain instant before the carts collide, the first cart's velocity is +4.5 m/s and the second cart's ve; ocity is -1.9 m/s. what is the total momentum of the system of the two carts at this instant? what was the velocity of the forst cart when the second cart was still at rest?

Part a)

Part b)

Explanation:

As we know that two carts are moving in opposite directions

so here total momentum of two carts must be given by vector subtraction

It is given as

Now we know that total momentum of the system is conserved here as there is no external force on this system

so the speed of the first cart when second cart was at rest is given as

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j