- #1

Undeterred247

- 6

- 4

- Homework Statement
- A very small steel marble is shown rolling at a constant speed on a horizontal table. The marble leaves the table at M, falls, and hits the ground at N. This is illustrated in the diagram below which is drawn to scale. Calculate the time it took the marble to travel from L to N.

- Relevant Equations
- p(t) = p0 +v0 * t +1/2*a*t^2

a = -g = -9.81m/s^2 = -981cm/s^2

Vertical position (x component):

y(t) = y0 +v0 * t -1/2*g*t^2

Position yx(t) = 0cm = 40cm + 0 *t -1/2 * 981cm/s/s * t^2

This didn't work so I thought maybe by finding the angle of the throw would help with the following equation but there are still not enough parts to it:

yx(t) = y0 +v0 * sintheta * t -1/2 *g * t^2

yx(t) = 40cm + v0 * sin(36.84) * t -1/2 *981cm/s/s *t^2

Theta = angle of throw where

horizontal = 30cm

vertical = 40cm

hypotenuse = 50cm

I found https://www.

y(t) = y0 +v0 * t -1/2*g*t^2

Position yx(t) = 0cm = 40cm + 0 *t -1/2 * 981cm/s/s * t^2

*edit: I replaced v0 = 0 and*__got__t = 0.286s, which is incorrect according to the submission.This didn't work so I thought maybe by finding the angle of the throw would help with the following equation but there are still not enough parts to it:

yx(t) = y0 +v0 * sintheta * t -1/2 *g * t^2

yx(t) = 40cm + v0 * sin(36.84) * t -1/2 *981cm/s/s *t^2

Theta = angle of throw where

horizontal = 30cm

vertical = 40cm

hypotenuse = 50cm

I found https://www.

*physicsforums*.com/threads/rolling-marble-on-table.469634/ which is similar to this problem but I still don't understand how to solve this. Please help!#### Attachments

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