How much work is done against gravity in lifting a 6.5-kg weight through a distance of 21 cm?
W =mgh
That equation is for potential energy, smh
To find the amount of work done against gravity, we need to use the formula:
Work = Force × Distance
In this case, the force is the weight of the object and the distance is the vertical distance it is lifted. The weight of the object can be calculated using the formula:
Weight = mass × acceleration due to gravity
Given that the mass of the object is 6.5 kg and the acceleration due to gravity is approximately 9.8 m/s², we can substitute these values into the formula to find the weight:
Weight = 6.5 kg × 9.8 m/s² = 63.7 N
Now that we know the weight of the object, we can calculate the work done against gravity. The work is given by:
Work = Force × Distance
Given that the distance is 21 cm, we need to convert it to meters by dividing by 100:
Distance = 21 cm ÷ 100 = 0.21 m
Now we can calculate the work:
Work = 63.7 N × 0.21 m = 13.377 J
Hence, the amount of work done against gravity in lifting a 6.5-kg weight through a distance of 21 cm is 13.377 Joules.