Answer:
Explanation:
The condition that the sphere completes the loop is that it doesn't fall off at the top. In order to do that, the sphere has to have enough velocity to beat the centripetal acceleration.
The forces acting on the sphere at the top of the loop:
1- Weight of the sphere to the downwards direction.
2- The normal force to the downwards direction.
So Newton's Second Law gives the following equation
At the minimum velocity, which corresponds to minimum height 'h', the normal force is equal to zero. That means, if the sphere moves any less than the minimum velocity, its weight will be greater than the centripetal force, hence it will fall off.
Therefore,
Now, we can use the conservation of energy to find the minimum height.
The final speed of C is equal to that of B.
The travel time of A is less than that of B.
The final speed of B is equal to that of A.
The travel time of C is greater than that of B.
The final speed of A is equal to that of C.
The travel time of C is greater than that of A.
<h3>What is speed?</h3>
The speed of any moving object is the ratio of the distance covered and the time taken to cover that distance.
Consider the three inclines shown in the figure (attached below). The vertical line is an incline with a 90° angle. All three inclines are frictionless. Three small identical objects are released from the top of the inclines.
When the objects are at the same height, they travel with the same height. The travel time is directly proportional to the incline.
Thus, all the statements are completed.
Learn more about speed.
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Range is highest -lowest
56-7
49
The range is 49
Hope that helps :)