How fast a Ford Focus car weighing 1200 kg should be moving to have the same momentum as the bullet? Express your answer in miles/hr.
That depends upon the momentum (speed x mass) of the bullet. You must provide that information.
To find the speed at which a Ford Focus car weighing 1200 kg should be moving to have the same momentum as a bullet, we need to know the mass and speed of the bullet.
Let's assume the mass of the bullet is 0.005 kg, and to simplify the calculations, we'll assume it was fired from a stationary gun, meaning the initial momentum of the bullet is zero.
The momentum of an object is given by the equation:
Momentum = mass * velocity
Since the initial momentum of the bullet is zero, we only need to consider the momentum of the Ford Focus to find its velocity.
Let's denote the velocity of the Ford Focus as V (in m/s).
For the Ford Focus:
Momentum = mass * velocity
Momentum = 1200 kg * V
For the bullet:
Momentum = mass * velocity
Momentum = 0.005 kg * 0 (since the initial momentum of the bullet is zero)
Since we want the momentum of the Ford Focus to be equal to that of the bullet, we can set the two equations equal to each other:
1200 kg * V = 0.005 kg * 0
This equation tells us that the Ford Focus would need to be moving at 0 m/s to have the same momentum as the bullet. However, this is not a realistic scenario.
In reality, a bullet is fired with a certain muzzle velocity, which we can assume to be around 1000 m/s. So, let's consider this value instead for the bullet's velocity.
Momentum of the bullet = mass of the bullet * velocity of the bullet
Momentum of the bullet = 0.005 kg * 1000 m/s
Momentum of the bullet = 5 kg·m/s
Now we can set the momentum of the Ford Focus equal to the momentum of the bullet and solve for its velocity:
1200 kg * V = 5 kg·m/s
Simplifying the equation:
V = (5 kg·m/s) / (1200 kg)
V = 0.00416 m/s
To convert this velocity to miles per hour, we can use the conversion factor:
1 m/s = 2.237 miles/hr
Therefore, the velocity of the Ford Focus in miles per hour would be:
V = 0.00416 m/s * 2.237 miles/hr/m
V ≈ 0.00931 miles/hr
So, a Ford Focus car weighing 1200 kg would need to be moving at approximately 0.00931 miles per hour to have the same momentum as the bullet.