A 100 N force acting on a lever 2 m from the fulcrum balances on object0.5 m from the fulcrum on the other arm what is the weight of the object. (In newtons)?
What is the mass (in kg)?
the moments about the fulcrum are equal
100 * 2 = 0.5 * w
m = w / g
To find the weight of the object, we can use the principle of moments. The principle of moments states that for a balanced lever, the sum of the anti-clockwise moments is equal to the sum of the clockwise moments.
First, let's calculate the clockwise moment. The force acting on the lever arm is 100 N, and it is 2 meters away from the fulcrum. Therefore, the clockwise moment is given by:
Clockwise Moment = Force x Distance
= 100 N x 2 m
= 200 Nm
Next, let's calculate the anti-clockwise moment. The weight of the object is acting on the other arm, 0.5 meters away from the fulcrum. The weight can be calculated using the formula:
Weight = Mass x Gravitational Acceleration
Now, let's solve for the weight of the object. But first, we need to know the gravitational acceleration. Assuming we are on Earth, the gravitational acceleration is approximately 9.8 m/s^2.
Using the formula, we have:
Weight = Mass x Gravitational Acceleration
We need to rearrange the formula to solve for mass:
Mass = Weight / Gravitational Acceleration
Now, let's substitute the given values. The anti-clockwise moment is equal to the weight multiplied by the distance from the fulcrum:
Anti-clockwise Moment = Weight x Distance
= Weight x 0.5 m
Since the sum of the clockwise moments and anti-clockwise moments are equal, we have:
200 Nm = Weight x 0.5 m
Now, we can solve for the weight:
Weight = 200 Nm / 0.5 m
= 400 N
Therefore, the weight of the object is 400 N.
To calculate the mass of the object, we can use the equation:
Mass = Weight / Gravitational Acceleration
Substituting the known values, we have:
Mass = 400 N / 9.8 m/s^2
= 40.82 kg
Therefore, the mass of the object is approximately 40.82 kg.