Four students are playing a game of tug-of-war. The two students on the right have masses of 54 kg and 57 kg, and pull with a combined force of 140 N. The two students on the left have masses of 53 kg and 55 kg and pull with a combined force of 120 N. Calculate the magnitude and direction of the acceleration of the students.

Question

Physics

Zoe Wilkins

15 August, 05:48

Four students are playing a game of tug-of-war. The two students on the right have masses of 54 kg and 57 kg, and pull with a combined force of 140 N. The two students on the left have masses of 53 kg and 55 kg and pull with a combined force of 120 N. Calculate the magnitude and direction of the acceleration of the students.

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Elijah Ball · Answer 1

Magnitude of force:F=m*a

On the right: 140 = (54+57) * a. (As they pull together you also have to summate their Mass)

140/111=a

In the legt: 120 = (53+55) * a

120/108=a

I dont know how to calculate the direction because there is no angle, etc given but I think they pull in opposite directions ... !