A push of magnitude P acts on a box of weight W as shown in the figure. The push is directed at an angle θ below the horizontal,
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Answer:
The turntable's angular speed after the event is 28.687 revolutions per minute.
Explanation:
The system formed by the turntable and the two block are not under the effect of any external force, so we can apply the Principle of Conservation of Angular Momentum, which states that:
(1)
Where:
- Moment of inertia of the turntable, in kilogram-square meters.
- Distance of the block regarding the center of the turntable, in meters.
- Mass of the object, in kilograms.
- Initial angular speed of the turntable, in radians per second.
- Final angular speed of the turntable-objects system, in radians per second.
In addition, the momentum of inertia of the turntable is determined by following formula:
(2)
Where is the mass of the turntable, in kilograms.
If we know that ,
,
and
, then the angular speed of the turntable after the event is:
(
)
The turntable's angular speed after the event is 28.687 revolutions per minute.
Explanation:
Given that,
Force with which a child hits a ball is 350 N
Time of contact is 0.12 s
We need to find the impulse received by the ball. The impulse delivered is given by :
So, the impulse is 42 N-m..
We know that he change in momentum is also equal to the impulse delivered.
So, impulse = 42 N-m and change in momentum =42 N-m.