When you lift a ball with a force of 82N, the ball accelerates upward with an acceleration of a. If you lift with a force of 92N, the balls acceleration is 2a. Find the weight of the ball, and the acceleration a.

I tried solving this via substitution algebra, but the answer still didn't work, PLEASE help!!!!

force=m(a+g)

force1=m(a1+g)

force1-force=m(a1-a)
10N=ma)
m=10/a
and theweight then is mg or 10g/a

I think the 2a is meant to be 2 * a

10=2ma

m= 5/a
sorry.

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

Let's break the problem into two parts:

Part 1: Lift with a force of 82N
In this case, the net force acting on the ball is equal to the weight of the ball since there is no other force acting on it. Let's denote the weight of the ball as W_1 and the acceleration as a.

Using Newton's second law, we can write the equation:
82N = W_1 * a

Part 2: Lift with a force of 92N
In this case, the net force acting on the ball is equal to the weight of the ball plus an additional force. Let's denote the weight of the ball as W_2 and the acceleration as 2a.

Using Newton's second law, we can write the equation:
92N = W_2 * (2a)

Now, we need to solve these two equations simultaneously to find the weight of the ball (W_1 and W_2) and the acceleration (a).

Solving Equation 1 for W_1:
W_1 = 82N / a

Solving Equation 2 for W_2:
W_2 = 92N / (2a)

Now, we can substitute these values into the original equations to find a relationship between a and W_1 and W_2.

Substituting W_1 into Equation 2:
92N = (82N / a) * (2a)
92N = 164N

This equation is not possible because 92N is not equal to 164N. Therefore, there is an inconsistency in the problem statement or the calculations.

Please double-check the given information and calculations to ensure accuracy.