Two equal mass carts approach each other with velocities equal in magnitude but opposite in direction. Friction can be neglected. If the carts collide completely inelastically, what will be the final velocity of the combined system?

their final velocity will be zero

Explanation:

Since they have equal masses m,

And their velocity is equal but in opposite direction u and -u, then,

mu + (-mu) = 2mv

0 = 2mv

Which implies that V = 0

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2