The boy A weighs 50 kg and the girl B weighs 35 kg in a seesaw...the board of the seesaw is 3.6 meter... To balance the seesaw where should girl C who weighs 25 kg seat or what particular distance should girl C seat to balance it
There's lots unsaid here. Are A and B on the same side of the board? If so, it is unreasonable to expect a 25kg girl to balance the combined 85kg of the other two.
You need some more information here, like distances and such.
To balance the seesaw, we need to ensure that the total torque (rotational force) exerted on both sides is equal. Torque is calculated by multiplying the weight of an object by its distance from the fulcrum (pivot point).
Let's assume that the seesaw rotates around its center.
The total torque on the left side of the seesaw is the product of the weight of the boy (A) and his distance from the center. Similarly, the total torque on the right side is the product of the weight of the girl (B) and her distance from the center.
We can represent this information mathematically as follows:
Total torque on the left side = Weight of boy × Distance of boy from the center
Total torque on the right side = Weight of girl × Distance of girl from the center
We want these torques to be equal in order to achieve balance. Therefore, we can set up an equation:
Weight of boy × Distance of boy from the center = Weight of girl × Distance of girl from the center
Substituting the given values:
50 kg × Distance of boy = 35 kg × Distance of girl
Now, we need to introduce girl C to balance the seesaw. Let's assume her distance from the center is represented by 'x' meters.
Weight of girl C × Distance of girl C from the center = Total torque on the right side
Substituting values:
25 kg × x meters = 35 kg × Distance of girl B from the center
Here, we can solve for 'x' to find the distance at which girl C should sit to balance the seesaw.
25 kg × x meters = 35 kg × Distance of girl B from the center
x = (35 kg × Distance of girl B from the center) / 25 kg
Substituting the given distance:
x = (35 kg × Distance from the center) / 25 kg
Now, plug in the values.
x = (35 kg × (3.6 meters)) / 25 kg
Calculating the above expression, we find:
x = 5.04 meters
Therefore, girl C should sit at a distance of 5.04 meters from the center in order to balance the seesaw.