Neither side of the equation may be used because there are too many unknown quantities before, during, and after the collision
Explanation:
The impulse theorem states that the change in momentum of an object is equal to the impulse, which is the product between the average force applied and the duration of the collision:
where
is the change in momentum
F is the average force
is the duration of the collision
In this problem, neither side of the equation can be used to measure the change in momentum. In fact:
- The change in momentum (left side) is given by
where
m is the mass of the object
u is the initial velocity
v is the final velocity
Here the final velocity is not known, so it's not possible to use this side of the equation
- The impulse (right side) is given by
here the average force is known, however the duration of the collision is not known, so it's not possible to use this side of the equation.
Learn more about momentum:
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