Question

When you lift a bowling ball with a force of 68.5 N, the ball accelerates upward with an acceleration a. If you lift with a force of 78.2 N, the ball's acceleration is 2.03a. Calculate the weight of the bowling ball. Calculate the acceleration a.

Answer 1

In the first case the the equation is given by
  
And in the 2nd case, the equation is given by
   
Now replacing ma from the 1st equation into the 2nd, we get
  
  
  
  
  
  
  So, the weight of the ball is 59.08 N. And as g = 9.8 m/s^2, so, the mass of the ball m is given by
  
  
And from the equation (1), we get
   
so, putting the value of m we get
   
  
This is the magnitude of the acceleration a.