A giant excavator (used in road construction) can apply a maximum vertical force of 2.25×105 N. If it can vertically accelerate a load of dirt at 0.200 m/s2, what is the mass of that load? Ignore the mass of the excavator itself.

Since F = m a,

m = F/a

22500kg

To find the mass of the load, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration: F = ma.

Given:
Force (F) = 2.25 × 10^5 N
Acceleration (a) = 0.200 m/s^2

Now, we can rearrange the formula to solve for mass (m):

m = F / a

Substituting the values:

m = (2.25 × 10^5 N) / (0.200 m/s^2)

m = 1.125 × 10^6 kg

Therefore, the mass of the load is approximately 1.125 × 10^6 kg.