A 5kg mass was lifted 365cm, how much work was done against gravity?
Work = M g H, where
M = 5 kg
g = 9.8 m/s^2
H = 3.65 m
The answer will be in Joules if the above units are used.
178.85 joules
To calculate the work done against gravity, we need to use the formula:
Work = Force × Distance
The force acting against gravity is given by the weight of the object, which is equal to the mass multiplied by the acceleration due to gravity (g). In this case, the mass is 5 kg, and the acceleration due to gravity is approximately 9.8 m/s².
Weight = Mass × Gravity
Weight = 5 kg × 9.8 m/s²
Weight = 49 N
Now, we have the force (weight) and the distance lifted. The distance is given as 365 cm, but we need to convert it to meters:
Distance = 365 cm = 365 ÷ 100 = 3.65 meters
Finally, we can calculate the work done:
Work = Force × Distance
Work = 49 N × 3.65 m
Using a calculator, we can multiply the two numbers together:
Work ≈ 178.85 Joules
Therefore, approximately 178.85 Joules of work were done against gravity to lift the 5 kg mass a distance of 365 cm.