The magnitude of the force involved in a certain collision (measured in newtons) is equal to the change in momentum (measured in kilogram meters/second). What is the time interval of the collision?
To determine the time interval of the collision, we need to use the definition of force and momentum. The force involved in a collision is equal to the change in momentum divided by the time interval of the collision.
Mathematically, this can be expressed as:
Force = Change in momentum / Time interval
Given that the magnitude of the force involved in the collision is equal to the change in momentum, we can rewrite the above equation as:
Force = Momentum / Time interval
Since the force is measured in newtons and momentum is measured in kilogram meters/second, we need to make sure the units are consistent.
The unit for force (newton) is equal to 1 kilogram meter/second^2. Therefore, we need to express the momentum in kilogram meters/second^2.
Once we have the momentum in the correct unit, we can substitute the values and rearrange the equation to solve for the time interval.
Let's say the magnitude of the force (F) is equal to 100 newtons and the momentum (p) is equal to 200 kilogram meters/second.
We can now write the equation:
100 newtons = 200 kilogram meters/second / Time interval
To find the time interval, we can rearrange the equation:
Time interval = 200 kilogram meters/second / 100 newtons
Simplifying this expression gives us:
Time interval = 2 seconds
Therefore, the time interval of the collision is 2 seconds.