This is the question to one of my onlinehw\'s. When you lift a bowling ball with

Question

This is the question to one of my onlinehw's.
When you lift a bowling ball with a force of 80.8N, the ball accelerates upward with anacceleration a. If you lift with a force of 92.6 N,the ball's acceleration is 2.03a. Calculate the weight ofthe bowling ball. Calculate the a.
I solved for the weight, which was 69.3N. But i cannot figure out the acceleration?
When you lift a bowling ball with a force of 80.8N, the ball accelerates upward with anacceleration a. If you lift with a force of 92.6 N,the ball's acceleration is 2.03a. Calculate the weight ofthe bowling ball. Calculate the a.
I solved for the weight, which was 69.3N. But i cannot figure out the acceleration?

Explanation / Answer

Let mass of ball be m Then weight = mg Also when 80.8 N is applied . Net force = 80.8 - mg We know , acceleration = force / mass a = (80.8-mg)/m .............(i) Similarly 2.03a = (92.6-mg )/m .........(ii) (ii) - (i) 1.03a = (92.6-80.8)/m =11.8 / m => ma = 11.8 /1.03 = 11.46 Putting in equation (i) ma =80.8-mg 11.46 =80.8 -mg mg = 69.3 N m = 69.3 /9.8 = 7.07 kg Also ma =11.46 Putting , a = 1.6 m/s2

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