Person's acceleration and object's acceleration

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To find the acceleration of the man and the object, use the formula a = f/m, where the force exerted by the man is 150 N and his mass is 80 kg, resulting in an acceleration of 1.875 m/s². For the 500 kg object, the same force of 150 N applies, leading to an acceleration of 0.3 m/s². It's important to draw a free body diagram to visualize the forces acting on both the man and the object. When considering Newton's third law, the direction of the forces should be clearly indicated in the diagram. Properly labeling the coordinate system will help clarify the problem for assessment.
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Homework Statement



A man with mass 80 kg exerts force of 150 N on 500 kg object. What is his accleration and what is the acceleration of the object? (assume no external forces)

Homework Equations


a=f/m


The Attempt at a Solution



not sure how to calculate the acceleration of object, but would i calculate the acceleration of the man like this--> a=150 N/80 kg...?
 
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Draw a Free body diagram. Mass of man, force horizontal on the 500kg object. With every action there is an equal and opposite reaction. When the forces have been solved and equal to each other. Solve the acceleration using a = 150 N/500kg for the acceleration of the object. The acceleration of the man is right what you put down. Just make sure you have it in the right direction

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accel. for object, would i put a negative sign in front of the answer since it's a problem dealing with Newton's third law..?
 
Well yea.. but draw your coordinate system in your Free body diagram. so that your teacher knows.
 
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