Four identical lab carts each have a mass of 200 kg. different masses are added to the carts and the velocities are measured. all carts move to the right. an illustration with four carts labeled cart a, cart b, cart c, and cart d. cart b has a 20 kilogram mass in it, cart c has a 40 kilogram mass in it, and cart d has a 60 kilogram mass in it. there are labels under each cart. under cart a is v = 4.8 meters per second, under cart b is v = 4.0meters per second, under cart c is v = 3.8 meters per second, and under cart d is v = 3.5 meters per second. which cart has the greatest momentum? cart a cart b cart c cart d

The definition of momentum is "mass in motion." Since every item has mass, if it is moving, it must have momentum because its mass is in motion. Mass and velocity are two factors that affect momentum. According to an equation, an object's momentum is determined by multiplying its mass by its velocity.

p = mv

p = momentum

m = mass

v = velocity

Calculation:

Cart A

m₁ = 200 kg

v₁ = 4.8 m/s

p₁ = 200 × 4.8

p₁ = 960 kg-m/s

Cart B

m₂ = 200 + 20 = 220 kg

v₂ = 4 m/s

p₂ = 220 × 4

p₂ = 880 kg-m/s

Cart C

m₃ = 200 + 40 = 240 kg

v₃ = 3.8 m/s

p₃ = 240 × 3.8

p₃ = 912 m/s

Cart D

m₄ = 200 + 60 = 260 kg

v₄ = 3.5 m/s

p₄ = 260 × 3.5

p₄ = 910 kg-m/s

Hence concluded, cart A has the greatest momentum.

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