The 80.0kg partner of a figure skating duo pushes his 60.0kg female partner with a force of 70.0N. Assume all other forces are negligible. Find the acceleration of both partners

To find the acceleration of both partners, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

For the 80.0 kg partner:
Force = Mass * Acceleration
70.0 N = 80.0 kg * Acceleration
Acceleration = 70.0 N / 80.0 kg = 0.875 m/s^2

For the 60.0 kg female partner:
Force = Mass * Acceleration
70.0 N = 60.0 kg * Acceleration
Acceleration = 70.0 N / 60.0 kg = 1.167 m/s^2

So, the acceleration of the 80.0 kg partner is 0.875 m/s^2, and the acceleration of the 60.0 kg female partner is 1.167 m/s^2.