Two ice skaters stand next to each other on a frozen pond. The first skater has a mass of 65 kg and the second skater has a mass of 82 kg. If the first skater pushes against the second with a force of 35 N, south, what are their respective
accelerations?
help me !!!

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Explanation:

Given that:

Mass of the first skater  = 65kg

Mass of the second skater  = 82kg

Force of push  = 35N

Unknown:

Their respective accelerations  = ?

Solution:

To solve this problem;

                   Force  = mass x acceleration

From Newton's third law of motion, we know that action and reaction are equal and opposite.

 So, the force on both Skaters is 35N

Acceleration of first Skater  =   = 0.54m/s² North

Acceleration of second Skater  =   = 0.43m/s² South

at right angles to each other