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.