A 5 kg textbook is raised a distance of 30cm as a student prepares to leave for school. How much work did the student do on the book?
To calculate the work done on an object, we use the formula:
Work = Force x Distance
In this case, the force required to lift the textbook is the gravitational force acting on it. The weight of the textbook can be calculated using the equation:
Weight = mass x gravity
where the mass of the textbook is 5 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 5 kg x 9.8 m/s^2
Weight = 49 N
Now we can calculate the work done by the student on the book using the work formula:
Work = Force x Distance
Work = Weight x Distance
Work = 49 N x 0.3 m
Work = 14.7 Joules
So, the student did 14.7 Joules of work on the book.
To calculate the work done by the student on the book, we can use the formula:
Work = Force × Distance
In this case, the force exerted by the student on the book is equal to the weight of the book. Weight is calculated as the mass of the object multiplied by the acceleration due to gravity.
Given:
Mass of the book (m) = 5 kg
Acceleration due to gravity (g) = 9.8 m/s²
Distance (d) = 30 cm = 0.3 m
First, let's calculate the weight of the book:
Weight = Mass × Acceleration due to gravity
Weight = 5 kg × 9.8 m/s²
Next, we can calculate the work done by the student:
Work = Weight × Distance
Now, let's plug in the values and calculate the work:
Work = (5 kg × 9.8 m/s²) × 0.3 m
After multiplying and simplifying, we find:
Work ≈ 14.7 Joules
Therefore, the student did approximately 14.7 Joules of work on the book by raising it a distance of 30 cm.