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4) In this experiment we will once again assume the string is massless. But what

ID: 1658586 • Letter: 4

Question

4) In this experiment we will once again assume the string is massless. But what if the string had a significant mass and a uniform density? Call the distance from the pulley to mass m, “y” and write a formula for the total mass hanging from the pulley.

5) If the measured force on the cart is a constant 1.2N, and the cart mass is 900grams, what will the slope of the velocity/time graph be?

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Update

Pic will not upload.

pic is of cart on a table top surface with a string a extended out to a pully with the string extending over the top of the pully and down the side of the table. The string is hanging down from the table and will have a weigth attached. the cart has M mass and the weight at the end of the string is m

      M weight

-----------------------   _______________

    X            X                                                O)      <== Pully

                                                                        |

      Cart                             string                     | string hanging over

                                                                      [ ] m Weight

Explanation / Answer

4) IF string had mass, then you'd have to take its weight into consideration. Let's say length of the string is L and mass m,
Mass per unit length = m/L
Mass of rope hanging = m*y/L
Total mass hanging would be = (m+m*y / L)

5) If force is 1.2 N and cart has mass of 900 gms or 0.9 kg,
its acceleration a = F/m
a = 1.2/0.9
a = 1.33 m/s2

Slope of velocity time is graph is acceleration therefore slope is 1.33 m/s2

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