a 40 kilogram barrel is rolled up a 10 meter long ramp to a height of 5 meter how much does the barrel weigh
Wt. = mg = 40kg * 9.8N/kg = 392N.
To find out how much the barrel weighs, we need to understand the concept of work and mechanical advantage.
Work (W) is defined as the force (F) applied to an object multiplied by the distance (d) over which the force is applied. Mathematically, it can be represented as W = F * d.
In this scenario, the work done on the barrel is equal to the force required to move the barrel up the ramp multiplied by the distance covered. The force we need to overcome is the force of gravity acting on the barrel, which is its weight (Wt). The distance we need to consider is the vertical height (h) the barrel is lifted.
The formula to calculate the work done against gravity is W = Wt * h.
Now, let's apply these concepts to find the weight of the barrel.
Given:
Mass of the barrel (m) = 40 kilograms
Gravity (g) = 9.8 m/s² (approximate value)
Weight (Wt) = m * g
Calculating the weight of the barrel:
Wt = 40 kg * 9.8 m/s² = 392 Newtons (N)
Therefore, the barrel weighs approximately 392 Newtons.