Find the work done when a 25kg weight is lifted to a vertical height of 2.0m from ground ...
work is defined as force (parallel to the motion) x distance
The force in this case is the weight. Calculate the weight of the object, multiply x the distance. The force is up as is the distance, so they are both parallel.
F = m*g in Newtons(N).
Work = F*d in Joules.
work is defined as force (parallel to the motion) x distance
The force in this case is the weight. Calculate the weight of the object, multiply x the distance. The force is up as is the distance, so they are both parallel.
To find the work done when lifting a weight, we can use the formula:
Work = Force × Distance × cos(θ)
Where:
- Force is the force applied to lift the weight (in Newtons).
- Distance is the vertical height through which the weight is lifted (in meters).
- cos(θ) is the angle between the direction of force applied and the direction of the motion (in this case, cos(θ) = 1, since the force is applied vertically upward).
In this problem, we are given:
- Weight = 25 kg (Note: Weight is the force acting due to gravity, and its value is given by Weight = mass × acceleration due to gravity)
- Height = 2.0 m
First, we need to calculate the force applied to lift the weight. The force applied is equal to the weight of the object. We can calculate the weight using the formula:
Weight = mass × acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s².
Weight = 25 kg × 9.8 m/s² = 245 N
Next, we can calculate the work done using the formula:
Work = Force × Distance × cos(θ)
Work = 245 N × 2.0 m × cos(0°) = 245 N × 2.0 m
Finally, we can calculate the value:
Work = 245 N × 2.0 m = 490 J
Therefore, the work done when lifting a 25 kg weight to a vertical height of 2.0 m is 490 Joules (J).