Calculate the work done by a stone mason in lifting of a mass of 15kg through a height of 2.0m to 200cm
work = force * distance = mgh
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To calculate the work done by the stone mason, we can use the formula:
Work = Force × Distance
First, let's calculate the distance the stone is lifted. We have two measurements: 2.0m and 200cm. We need to convert the 200cm to meters by dividing it by 100:
200cm ÷ 100 = 2.0m
So, the distance lifted is 2.0m.
Next, we need to calculate the force. The force required to lift an object is equal to its weight. The weight is given by the formula:
Weight = mass × acceleration due to gravity
The mass of the stone is given as 15kg.
The acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 15kg × 9.8 m/s^2 = 147 N
Therefore, the force needed to lift the stone is 147 Newtons.
Now we can calculate the work done by substituting the values into the formula:
Work = Force × Distance
= 147 N × 2.0 m
= 294 Joules
So, the work done by the stone mason in lifting the stone is 294 Joules.
To calculate the work done by the stone mason, we need to use the equation:
Work = force × distance × cos(theta),
where force is the force applied, distance is the distance moved, and theta is the angle between the force and the direction of motion. In this case, the stone mason is lifting a mass, so we need to determine the force applied.
The force applied can be calculated using Newton's second law:
Force = mass × gravitational acceleration,
where the mass is 15 kg and the gravitational acceleration is approximately 9.8 m/s^2.
Force = 15 kg × 9.8 m/s^2 = 147 N.
Now that we have the force, we can calculate the work done. The height is given as 2.0m to 200cm. Let's convert 200 cm to meters.
200 cm = 200/100 m = 2.0 m.
So, the distance moved is 2.0 m.
Now, let's calculate the work done:
Work = 147 N × 2.0 m × cos(theta).
Since the stone mason is lifting the mass vertically, the angle between the force and the motion is 0 degrees. Therefore, cos(theta) = cos(0) = 1.
Work = 147 N × 2.0 m × 1 = 294 J.
Therefore, the work done by the stone mason in lifting a mass of 15 kg through a height of 2.0 m to 200 cm is 294 joules.