Classical Mechanics

Introduction to Forces

Newton's Third Law


Two boats AA and B,B, connected with a string, are floating on a calm lake. The mass of AA and BB are 100 kg 100 \text{ kg} and 150 kg, 150 \text{ kg}, respectively, and the distance between them is 30 m. 30 \text{ m}. If the string is pulled from boat AA with a constant force and the two boats meet in 20 seconds, 20 \text{ seconds}, what is the distance that boat A moves?

Suppose that there is no friction whatsoever.

A 72 kg 72 \text{ kg} package lying on the ground is connected to a massless rope that runs over a frictionless tree limb. If a 40 kg 40 \text{ kg} monkey climbs up the other side of the rope, what is the magnitude of the minimum acceleration at which the monkey should climb for the package to be lifted off the ground?

The gravitational acceleration is g=10 m/s2. g= 10 \text{ m/s}^2 .

As shown in the diagram above, two objects AA and BB that have respective masses of mAm_A and mBm_B are on a horizontal plane. The force with which the plane supports AA is 2 2 times the force with which AA supports B.B.

Find mA/mBm_A/m_B.

For Newton’s third law of motion to hold, what must be the state of motion of the two objects involved?

You are holding onto a 100 kg100~\mbox{kg} basket of fish hanging over the side of a boat. What is the minimum force in Newtons you need to exert to keep the basket from falling back down into the ocean?

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.

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