Question

Two vehicles are approaching an intersection. One is a 2600 kg pickup traveling at 13.0 m/s13.0m/s from east to west (the −−x-direction), and the other is a 1300 kg sedan going from south to north (the y-direction) at 22.0m/s22.0m/s.

1. What is the momentum of the pickup?
A) 33,800kg m/s33,800kg m/s
B) −33,800 kg m/s−33,800kg m/s
C) 17,800 kg m/s17,800kg m/s
D) −17,800 kg m/s−17,800kg m/s
2. What is the momentum of the sedan?
A) 28,600kg m/s28,600kg m/s
B) −28,600kg m/s−28,600kg m/s
C) 33,800 kg m/s33,800kg m/s
D) −33,800kg m/s−33,800kg m/s

Answer 1

The momentum of the pickup truck is 33,800 kg m/s and the momentum of the sedan is 28,600 kg m/s.

Step-by-step explanation:

The momentum of an object is defined as the product of its mass and velocity. To calculate the momentum of the pickup truck, we can use the formula:

Momentum = mass × velocity

Given that the mass of the pickup truck is 2600 kg and its velocity is 13.0 m/s, we can substitute these values into the formula:

Momentum of the pickup truck = 2600 kg × 13.0 m/s = 33,800 kg m/s

Therefore, the correct answer is option A) 33,800 kg m/s.

To calculate the momentum of the sedan, we follow the same formula:

Momentum of the sedan = mass × velocity

Given that the mass of the sedan is 1300 kg and its velocity is 22.0 m/s, we can substitute these values into the formula:

Momentum of the sedan = 1300 kg × 22.0 m/s = 28,600 kg m/s

Therefore, the correct answer is option A) 28,600 kg m/s.