Calculate the linear momentum for each of the following cases.

Question

(b) A 10.0 g bullet moving with a velocity of 305 m/s to the right

(c) A 69 kg sprinter running with a velocity of 5.2 m/s southwest.

(d) Earth (m = 5.98 ✕ 10²⁴ kg) moving in its orbit with a velocity equal to 2.98 ✕ 10⁴ m/s forward.

Answer 1

Linear momentum is a property of an object classically defined as the product of an object's mass and velocity. Like velocity, momentum is a vector quantity which points in the same direction as the object's velocity. These will be calculated with SI units (momentum having units of kg*m/s), converting as needed, and rounded to the significant figures provided in each part.

(Looks like part 'a' might be missing?)

(b) Mass is 10.0 g or 0.0100 kg (1000 g = 1 kg), velocity is 305 m/s to the right

Momentum p = m*v = (0.0100)*(305) = 3.05 kg*m/s to the right

(c) Mass is 69 kg, velocity is 5.2 m/s southwest

Momentum p = m*v = (69)*(5.2) = 360 kg*m/s southwest

(d) Mass is 5.98*10^24 kg, velocity is 2.98*10^4 m/s forward

Momentum p = m*v = (5.98*10^24)*(2.98*10^4) = 1.78*10^29 kg*m/s forward