Question

Determine the momentum of the following objects:

a) A car with a mass of 1200 kg and a velocity of 10 m/s north

b) A truck with a mass of 2300 kg and a velocity of 25 m/s east.

c) What is the total (vector sum) momentum of the car/truck system

Answer #1

here,

A)

the mass of car ,m = 1200 kg

the velocity of car , v1 = 10 j m/s

the momentum of the object , P1 = m * v1

P1 = 1200 * 10 j kg.m/s

P1 = 1.2 * 10^4 j kg.m/s

B)

the mass of Truck ,m2 = 2300 kg

the velocity of car , v2 = 25 i m/s

the momentum of the object , P2 = m2 * v2

P2 = 2300 * 25 i kg.m/s

P2 = 5.75 * 10^4 i kg.m/s

C)

the total momentum , P = P1 + P2

P = (1.2 i + 5.75 j) * 10^4 kg.m/s

the magnitude of total momentum , |P| = sqrt(1.2^2 + 5.75^2) * 10^4 kg.m/s

|P| = 5.87 * 10^4 kg.m/s

direction of momentum , theta = arctan(5.75 /1.2)

theta = 78.2 degree North of East

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