Respuesta :
Answer:
The ratio of momentum is 1:2 since the velocity is constant and mass is of ratio 1:2
Explanation:
Given
mass of car [tex]m_{car}[/tex] = 500 kg
mass of truck [tex]m_{truck}[/tex] = 1000 kg
velocity of car = velocity of truck = v = 5 m/s
momentum of car [tex]p_{car}[/tex] = ?
momentum of truck [tex]p_{truck}[/tex] = ?
We know that the momentum is given by: p = mv , where m is mass and v is velocity.
momentum of car [tex]p_{car}[/tex] = [tex]m_{car}[/tex] x v = 500 x 5 = 2500 kg.m/s
momentum of truck [tex]p_{truck}[/tex] = [tex]m_{truck}[/tex] x v = 1000 x 5 = 5000 kg.m/s
The ratio of momentum = [tex]\frac{p_{car}}{p_{truck}}[/tex]
= [tex]\frac{2500}{5000}[/tex]
= [tex]\frac{1}{2}[/tex] = 1:2
Here we infer that the ratio is 1:2. This is because momentum value depends on mass and velocity of body. In given problem velocity is constant. Hence depends only on mass. The ratio of mass is 1:2 and so the ratio of momentum.
