a. boy. of. mass. 40kg sits. at. point of 2 .0metres from. the pivot. of a sea saw. find the weight of a girl. who can balance. the. the sea. saw by sitting. at a. distance of 3.2metres from the pivot(take. g=10n/kg-1)
weight * distance = weight * distance
400N * 2.0m = w * 3.2m
Well, to find the weight of the girl who can balance the sea saw, we need to consider the principle of moments.
First, let's calculate the moment created by the boy. The moment is given by the equation:
Moment = Mass * Distance from pivot
So, MomentBoy = 40kg * 2.0m = 80kg·m
Now, to balance the sea saw, the moment created by the girl needs to be equal to the moment created by the boy. Let's calculate the weight of the girl using the equation:
MomentGirl = WeightGirl * Distance from pivot
Since this moment needs to be equal to the moment created by the boy, we have:
MomentGirl = MomentBoy
WeightGirl * Distance from pivot = MomentBoy
WeightGirl * 3.2m = 80kg·m
WeightGirl = 80kg·m / 3.2m
WeightGirl ≈ 25kg
So, the weight of the girl who can balance the sea saw by sitting 3.2m from the pivot is approximately 25kg.
To solve this problem, we can use the principle of moments, which states that the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
First, we need to calculate the moment generated by the boy. The moment is equal to the weight multiplied by the distance from the pivot.
Moment = Weight * Distance
Since weight is equal to mass multiplied by gravity, we can write it as:
Moment_boy = (Mass_boy * Gravity) * Distance_boy
Substituting the given values:
Mass_boy = 40 kg
Gravity = 10 N/kg
Distance_boy = 2.0 m
Moment_boy = (40 kg * 10 N/kg) * 2.0 m
= 400 N * 2.0 m
= 800 Nm
Now, we need to calculate the weight of the girl. We can use the same formula:
Moment_girl = (Mass_girl * Gravity) * Distance_girl
Substituting the given values:
Moment_girl = (Mass_girl * 10 N/kg) * 3.2 m
Since the sea saw is balanced, the sum of the moments generated by the boy and the girl should be equal.
So, Moment_boy = Moment_girl
800 Nm = (Mass_girl * 10 N/kg) * 3.2 m
Dividing both sides by (10 N/kg) and then by 3.2 m:
Mass_girl = 800 Nm / (10 N/kg * 3.2 m)
= 800 N / 32 kg
= 25 kg
Therefore, the weight of the girl who can balance the sea saw is 25 kg.
To find the weight of the girl who can balance the seesaw, we need to understand the concept of a seesaw and the principles of rotational equilibrium.
A seesaw works on the principle of a torque, which is the rotational equivalent of force. The torque of an object is defined as the product of the force applied and the distance from the pivot point.
In this scenario, we have a boy of mass 40 kg sitting at a distance of 2.0 meters from the pivot. The boy's weight can be calculated by multiplying his mass (40 kg) with the acceleration due to gravity (g = 10 N/kg).
Weight = mass x acceleration due to gravity
Weight of boy = 40 kg x 10 N/kg = 400 N
Now, let's calculate the weight of the girl who can balance the seesaw by sitting at a distance of 3.2 meters from the pivot.
To achieve rotational equilibrium, the total torque on one side of the pivot must be equal to the total torque on the other side. In other words:
Torque of the boy = Torque of the girl
The torque of an object is calculated as the product of the force applied and the distance from the pivot point.
Torque of the boy = Weight of the boy x Distance from pivot
Torque of the girl = Weight of the girl x Distance from pivot
Since the weight of the girl is unknown, let's represent it as 'W'.
Weight of the boy x Distance from pivot = Weight of the girl x Distance from pivot
400 N x 2.0 m = W x 3.2 m
Now, we can solve for 'W', the weight of the girl:
800 N = W x 3.2 m
Dividing both sides of the equation by 3.2 m:
W = 800 N / 3.2 m
W = 250 N
Therefore, the weight of the girl who can balance the seesaw by sitting at a distance of 3.2 meters from the pivot is 250 Newtons.