A cart conneted to a hanging mass is free to move on an incline place with an an

Question

A cart conneted to a hanging mass is free to move on an incline place with an angle of 18 degrees.

Cart mass - 836 g

Hanging mass - 278 g

Degrees - 18

Using this data, determine which way the hanging mass will move (up or down), and determine the tension in the string connecting the cart and hanging mass while they are moving.

Which way will it move?

What is the tension of the string while the cart and hanging mass are moving?

If you prevent the cart from moving by holding the cart with your hand, what would the tension of the string be? Explain answer.

Please show work! Thank you!

Explanation / Answer

T - .836 g sin 18 degree = .836 a

.278 g - T = .278 a

a = +0.173 m/s^2

hanging mass will move down

Tension = 2.68 N

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