A hallway display of energy is constructed in which several people pull on a rope that lifts a block 1.15 m. The display indicates that 1.05 J of work is done. What is the mass of the block?
The weight is
Work/(lift distance) = 0.946 Newtons
Divide by g for the mass in kg.
That's only about two pounds.
Not much of a display. They certainly didn't need three people for that.
Are you sure you got the decimal point right for theWork in Joules?
To find the mass of the block, we can use the work-energy principle. The work done on an object is equal to the change in its potential energy. In this case, the work done is given as 1.05 J.
The potential energy of an object is given by the equation PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height (1.15 m).
So, we can set up the equation as follows:
1.05 J = m * 9.8 m/s^2 * 1.15 m
To solve for the mass (m), we divide both sides of the equation by (9.8 m/s^2 * 1.15 m):
m = 1.05 J / (9.8 m/s^2 * 1.15 m)
Evaluating the expression, we find:
m ≈ 0.1 kg
Therefore, the mass of the block is approximately 0.1 kg.