Find the minimum work required to carry a truckload of furniture weighing 1.99 104 N to a third-story apartment, 24.0 m above the truck.
W = F*d = 1.99*10^4 * 24 = 4.78*10^5J.
To find the minimum work required to carry a truckload of furniture to a third-story apartment, we can use the equation:
Work = Force x Distance
Given:
Force (F) = 1.99 x 104 N
Distance (d) = 24.0 m
Therefore, the minimum work required is:
Work = 1.99 x 104 N x 24.0 m
Now we can calculate the work:
Work = 4.776 x 105 J
To find the minimum work required to carry the truckload of furniture to the third-story apartment, we need to determine the vertical distance it will be lifted and the force needed to lift it.
Given:
Weight of the furniture (W) = 1.99 * 10^4 N
Vertical distance (h) = 24.0 m
The work done (Wd) to lift an object is given by the formula:
Wd = Force * Distance
In this case, since we are dealing with vertical distance, we can calculate the force required using the weight formula:
Force (F) = Weight = Mass * gravitational acceleration (g)
First, let's find the mass of the furniture using the weight formula:
Weight (W) = mass (m) * gravitational acceleration (g)
Rearranging the formula, we get:
m = W / g
Now we can calculate the force (F):
F = m * g
Finally, we can find the minimum work required (Wd):
Wd = F * h
Now let's plug in the values and calculate the answer step by step:
1. Calculate the mass (m):
m = W / g
m = 1.99 * 10^4 N / 9.8 m/s^2
m ≈ 2020.4 kg
2. Calculate the force (F):
F = m * g
F = 2020.4 kg * 9.8 m/s^2
F ≈ 19838.92 N
3. Calculate the work done (Wd):
Wd = F * h
Wd = 19838.92 N * 24.0 m
Wd ≈ 476133.3 J
Therefore, the minimum work required to carry the truckload of furniture to the third-story apartment is approximately 476133.3 Joules (J).