Answer:
1.287m/s
Explanation:
Using the law of conservation of mass expressed as;
m1u1+m2u2 = (m1+m2)v
m1 and m2 are the masses of the objects
u1 and u2 are the velocities
v is the speed of the center of mas of the two carts
Given
m1 = 320g = 0.32kg
u1 = 1.25m/s
m2 = 270g = 0.27kg
u2 = 1.33m/s
Substitute this value into the formula and get v;
0.32(1.25)+0.27(1.33) = (0.32+0.27)v
0.4+0.3591 = 0.59v
0.7591 = 0.59v
v = 0.7591/0.59
v = 1.287m/s
hence the speed of the center of mass of the two carts is 1.287m/s
