Acart with mass 320 g moving on a frictionless linear air track at an initial speed of 1.8 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. after the collision, the first cart continues in its original direction at 0.78 m/s. (a) what is the mass of the second cart? (b) what is its speed after impact? (c) what is the speed of the two-cart center of mass?

Part a)

m = 126.5 g

Part b)

v = 2.58 m/s

Part c)

v = 1.29 m/s

Explanation:

Part a)

By momentum conservation we will have

here we have

also since collision is elastic collision so we have

so now we have

Part b)

As we know that in perfect elastic collision we will have

now we will have

now we have

Part c)

Since there is no external force on it

so here velocity of center of mass will remain the same

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