Napolweon pencil has a mass of 3 grams (0.27Napoleon ) when he lifts his pencil from the desk to his paper he moves it an average of 20cm (o.20m) He then returns it to his desk moving it another 20cm How much work did he do on his pencil? w=FXD
To calculate the work done by Napoleon on his pencil, you need to multiply the force applied to lift the pencil by the distance it was moved. The formula for work is W = F × D, where W is the work done, F is the force, and D is the distance moved.
In this case, the mass of the pencil is given as 3 grams. To find the force, you can use the equation F = m × g, where F is the force, m is the mass, and g is the acceleration due to gravity. The value of g is approximately 9.8 m/s^2.
First, convert the mass of the pencil from grams to kilograms, since the unit of force is Newtons (N). 1 kilogram (kg) = 1000 grams, so the mass of the pencil is 3 grams / 1000 = 0.003 kg.
Next, calculate the force using the formula F = m × g. F = 0.003 kg × 9.8 m/s^2 = 0.0294 N.
Now you have the force (F) and the distance (D), both of which are 0.20 m. Plug these values into the work formula: W = F × D. W = 0.0294 N × 0.20 m = 0.00588 N·m (or Joules, J).
Therefore, Napoleon did approximately 0.00588 Joules of work on his pencil when he lifted it from the desk to his paper and then returned it to his desk.