A small person with a mass of 50kg walks up two flights of stairs. A heavy person with a mass of 105 kg walks up the same stairs. Who did more work and why?
IDK but the person who created that is stupid man.
bruh im trying to do 8th grade math bruh
To determine who did more work while walking up the same stairs, we need to consider the definition of work and the factors that influence it.
Work, in physics, is defined as the transfer of energy when a force is applied over a certain distance. Mathematically, the formula for work is given by W = F * d * cosθ, where W is work, F is the force applied, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion. In this case, since both individuals are walking straight up the stairs, the angle θ is 0°, and the equation simplifies to W = F * d.
The force exerted while walking up the stairs is equal to the product of the mass of the individual and the acceleration due to gravity (F = m * g), where m represents mass and g represents the acceleration due to gravity (approximately 9.8 m/s² on Earth).
Now let's calculate the work done by each person by substituting the variables into the equation:
For the small person with a mass of 50 kg:
W1 = F1 * d = (m1 * g) * d
For the heavy person with a mass of 105 kg:
W2 = F2 * d = (m2 * g) * d
Since both individuals walk up the same stairs, the distance (d) is the same for both calculations.
Comparing the two equations, we can see that the work done by each person depends on their respective masses (m1 and m2). Therefore, the heavier person did more work because they exerted a greater force against gravity due to their larger mass.
work = force * distance
force = weight
so, what do you think?