Question

In: Physics

A very small ball is rolling down a vertical triangle. It rolls down 1,5m within the...

A very small ball is rolling down a vertical triangle. It rolls down 1,5m within the first second, how long will it roll on the 2nd second? We don't know if there's friction. Any ideas and tips? I'm new to this subject, so please answer thoroughly explaining each step of the solution.

Solutions

Expert Solution

Now when the ball rolls down 1.5m on the edge of the traingle, the acceleration acting on the ball is the projection of acceleration due to gravity along the edge of the triangle, that is acceleration acting on ball to move it 1.5 along the surface is   acting downwards, where is the angle the surface is making with the base.

Now apply second law of motion

\

For first second, x is 1.5 m, u is 0 and t =1

After 2ndsecond the overall displacement will be

So the distance travelled in 2nd second will be 1.5 m. This is because the acceleration acting on it is constant.

Even if the friction is working all along, then the acceleration acting on the ball will be reduced to

(acting downwards along the surface)

Even this acceleration is contant because and both are constant. So the answer will remain same that is 1.5 m.


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