The maximum tension the wire can withstand without breaking is 300 n . a 0.800 kg projectile traveling horizontally hits and embeds itself in the wood ball. what is the largest speed this projectile can have without causing the cable to break?
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Ответ:
Let's investigate the case where the cable breaks.
Conservation of angular momentum can be used to find the speed.
The projectile embeds itself to the ball, so they can be treated as a combined object. The moment of inertia of the combined object is equal to the sum of the moment of inertia of both objects.
where r is the length of the cable.
After the collision, the ball and the projectile makes a circular motion because of the cable. So, the force (tension) in circular motion is
The relation between linear velocity and the angular velocity is
So,
As can be seen, the maximum velocity for the projectile without breaking the cable is
, where r is the length of the cable.
Ответ:
The point of whats inside the red box is to show you the amount of the product that the information below it pertains to.
Hope this Helps <3