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?

To find the mass of the block, we need to use the formula for gravitational potential energy, which is given by:

Potential energy = m * g * h

Where:
m = mass of the block
g = acceleration due to gravity (approximately 9.8 m/s^2)
h = height the block is lifted (1.15 m)

We are given that the work done is 1.05 J. The work done is equal to the change in potential energy, so we can write:

Work done = Potential energy final - Potential energy initial

Since the block is lifted from the ground, the initial potential energy is zero. Therefore, we can simplify the equation:

1.05 J = Potential energy final - 0

So, the potential energy final is 1.05 J.

Now, let's substitute the values into the potential energy formula:

1.05 J = m * 9.8 m/s^2 * 1.15 m

To solve for mass (m), we divide both sides of the equation by (9.8 * 1.15):

m = 1.05 J / (9.8 m/s^2 * 1.15 m)

m ≈ 0.101 kg

Therefore, the mass of the block is approximately 0.101 kg.

Work= force*distance= mass*g*distance

solve for mass.