A 1000kg automobile is moving along a straight highway at 10m/s. another car with mass 2000kg and moving with a velocity in the same direction 20m/s at 30m ahead of the first. find the momentum
A 1000kg automobile is moving along a straight highway at 10m/s. another car with mass 2000kg and moving with a velocity in the same direction 20m/s at 30m ahead of the first. find the momentum
To find the momentum of an object, you need to multiply its mass by its velocity.
In this case, you have two cars moving in the same direction. Let's analyze them individually first.
The momentum of the first car is given by:
Momentum1 = Mass1 x Velocity1
Mass1 = 1000 kg (mass of the first car)
Velocity1 = 10 m/s (velocity of the first car)
Momentum1 = 1000 kg x 10 m/s = 10,000 kg·m/s
Now let's calculate the momentum of the second car. Since it is moving at a different position, we need to consider the relative distance between the two cars.
The second car is 30 meters ahead of the first car. Since they are moving in the same direction, we subtract the relative velocity of the first car from the velocity of the second car.
Relative Velocity = Velocity2 - Velocity1
Velocity2 = 20 m/s (velocity of the second car)
Relative Velocity = 20 m/s - 10 m/s = 10 m/s
Now, we can calculate the momentum of the second car, taking into account its relative mass and relative velocity:
Momentum2 = (Mass2 x Relative Velocity)
Mass2 = 2000 kg (mass of the second car)
Relative Velocity = 10 m/s
Momentum2 = (2000 kg) x (10 m/s) = 20,000 kg·m/s
Finally, to find the total momentum of both cars, you sum up the individual momenta:
Total Momentum = Momentum1 + Momentum2
Total Momentum = 10,000 kg·m/s + 20,000 kg·m/s = 30,000 kg·m/s
Therefore, the total momentum of the two cars is 30,000 kg·m/s.