A girl who sat 2.5 metres away from the fulcrum of a seesaw is balanced by her aunt weight 65kg sitting 1.5 metres from the fulcrum find the weight of the girl
What is the answer
no, you mean, what is the method ...
m1 * d1 = m2 * d2
That is,
m1 * 2.5 = 65 * 1.5
Now just find m1
To find the weight of the girl, we can use the concept of moments.
The moment of a force is calculated by multiplying the magnitude of the force by the perpendicular distance from the fulcrum. In this case, we have two forces: the weight of the girl and the weight of the aunt.
Let's denote the weight of the girl as G (in kg) and the weight of the aunt as A (in kg).
The total moment on one side of the seesaw is equal to the total moment on the other side, which means:
(G * 2.5) = (A * 1.5)
Given that the weight of the aunt is 65kg and she sits 1.5 meters away from the fulcrum, we can substitute these values into the equation:
(G * 2.5) = (65 * 1.5)
Simplifying the equation, we have:
2.5G = 97.5
Now, we can solve for G by dividing both sides of the equation by 2.5:
G = 97.5 / 2.5
Calculating this, we find:
G ≈ 39
Therefore, the weight of the girl is approximately 39 kg.