Final answer:
The mass of the hollow sphere is 1225kg.
Step-by-step explanation:
To find the mass of the hollow sphere, we need to use the equation for acceleration:
a = (Δv)/(Δt)
Given that the sphere emerges 20m in 5s, we can substitute the values into the equation:
a = (20m - 0m)/(5s - 0s) = 4m/s²
Since the acceleration is constant, we can use Newton's second law of motion:
F = ma
where F is the force and m is the mass. We can rearrange the equation:
m = F/a
Given that the force F is equal to the weight mg, where g is the acceleration due to gravity (approximately 9.8m/s²), we can substitute the values:
m = (mg)/a = (10m³ * 1000kg/m³ * 9.8m/s²)/4m/s² = 1225kg