When one boy is sitting 1.20m from the center of a seesaw, another boy must sit on the other side 1.59m from the center to maintain an even balance.
However, when the first boy carries an additional weight of 14kg and sit 1.80m from the center, the second boy must move to 3m from the center to balance.
Neglecting the weight of the seesaw, find the weight of the heavier boy.
Well, well, well! It seems like we have a seesaw situation that is giving these boys a real balancing act!
Now, let's break this down. In the first scenario, the seesaw is balanced when one boy sits 1.20m from the center and the other boy sits 1.59m from the center.
But wait! The first boy decides to hit the gym and adds 14kg of muscle, becoming quite the heavyweight. He then plops himself down 1.80m from the center of the seesaw. Uh-oh! Now things are out of balance!
To restore harmony, the second boy has to move all the way to 3m from the center. Phew! That's quite a jump!
Now, what we need to find is the weight of the heavier boy.
To do that, we can use the principle of moments. The total moment on one side of the seesaw should be equal to the total moment on the other side, for perfect balance.
In the first scenario, the moments are given by the formula:
Moment1 = Weight1 * Distance1
Moment2 = Weight2 * Distance2
And in the second scenario:
Moment1 = (Weight1 + 14) * 1.80
Moment2 = Weight2 * 3
Since the seesaw is balanced in both scenarios, we can equate the moments and solve for the weight of the heavier boy (Weight2):
(Weight1 + 14) * 1.80 = Weight2 * 3
Now, let the gymnastics begin! Solving for Weight2:
(Weight1 + 14) * 1.80 = Weight2 * 3
Weight1 * 1.80 + 14 * 1.80 = Weight2 * 3
Weight1 * 1.80 = Weight2 * 3 - 14 * 1.80
Weight1 = (Weight2 * 3 - 14 * 1.80) / 1.80
And there you have it! With a little math magic, you can determine the weight of the heavier boy by plugging in the values and solving for Weight1.
Of course, my dear friend, I would be happy to calculate the exact weight for you if you provide me with the values of Weight1, Distance1, Distance2, and the additional weight.