Question

1. the momentum of a 2 kg object has momentum of 15 kgm/s. the velocity of the object is (a) 2 m/s (b) 4.5 m/s (c) 7.5 m/s (d) 15 m/s (e) none of the above 19. a car of mass 10 kg traveling at a velocity of 4 m/s and a 5 kg bicycle traveling at 8 m/s. which has greater momentum? (a) the car (b) the bicycle (c) none of the above (d) the momentum is same

Explanation:

Step1: Recall momentum formula

The formula for momentum is $p = mv$, where $p$ is momentum, $m$ is mass and $v$ is velocity. We can re - arrange it to find velocity $v=\frac{p}{m}$.

Step2: Calculate velocity for question 18

Given $m = 2$ kg and $p=15$ kgm/s. Substitute into the formula $v=\frac{p}{m}=\frac{15}{2}=7.5$ m/s.

Step3: Calculate momentum for car in question 19

For the car, $m_{1}=10$ kg and $v_{1}=4$ m/s. Using $p = mv$, we get $p_{1}=m_{1}v_{1}=10\times4 = 40$ kgm/s.

Step4: Calculate momentum for bicycle in question 19

For the bicycle, $m_{2}=5$ kg and $v_{2}=8$ m/s. Using $p = mv$, we get $p_{2}=m_{2}v_{2}=5\times8=40$ kgm/s.

Answer:

1. c) 7.5 m/s
2. d) The momentum is same