Question

8.

A
2.0 m
A 1.0 kg box slides without friction around the
loop-the-loop apparatus as shown in the
diagram. If the object starts from rest at point A,
and the radius of the loop is 0.75 m, what is the
speed of the box at point B?

Answer 1

6.26 m/s

Step-by-step explanation:

From the given information:

Using the conservation of Energy;

M.E at A =M.E at B

`(1)/(2)mv_A^2 + mgh _A = (1)/(2)mv_B^2 + mgh_B`

Replacing the values given in the equation:

`(1) (9.8) (2 \ m) +(1)/(2)(0)^2 = 1 * 9.8 * 0 + (1)/(2)(1) * v_B^2 \\\\ 19.6 + 0 = 0 + 0.5v_B^2\\ \\ v_B^2 = (19.6)/(0.5) \\ \\ v_B^2 = 39,2 \\ \\ v_B = √(39.2) \\ \\ \mathbf{v_B = 6.26 \ m/s}`