Answer:
Part a)
Part b)
Explanation:
Since the ball and rod is an isolated system and there is no external force on it so by momentum conservation we will have
here we also use angular momentum conservation
so we have
also we know that the collision is elastic collision so we have
so we have
also we know
also we know
so we have
now we have
Part b)
Now we know that speed of the ball after collision is given as
so it is given as
Magnitude of the force of tension: 139 N
Explanation:
The surface of the ramp here is assumed to be the positive x-direction.
To solve this problem and find the magnitude of the force of tension, we have to analyze only the situation along the x-direction, since the force of tension lie in this direction.
There are three forces acting along the x-direction:
- The force of tension, , acting up along the plane
- The force of friction, , acting down along the plane
- The component of the weight in the x-direction, , acting down along the plane
We know that the magnitude of the weight is
So its x-component is
The net force along the x-direction can be written as
And therefore, since the net force is 98 N, we can find the magnitude of the force of tension:
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Answer:
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