Where: M = mass (in kg) W = weight (in N) t = time (in hours)
First, we need to calculate the weight of the object at a height of 25 meters.
Weight = mass x gravity
Weight = 120,000 kg x 9.81 m/s^2 (gravity) Weight = 1,176,000 N
Now, we need to take into consideration that the object is lifted to a height of 25 meters in 1 hour, which means the work done is the same as the change in potential energy.
Work = change in potential energy Work = Mgh
Where: M = mass (in kg) g = acceleration due to gravity (9.81 m/s^2) h = height (in meters)
So, we have: 1,176,000 N = M x 9.81 m/s^2 x 25 m
Solving for M: M = 1,176,000 N / (9.81 m/s^2 x 25 m) M = 1,176,000 N / 245.25 M ≈ 4800 kg
Therefore, the mass of the object is approximately 4800 kg.
To find out M, we can use the formula:
M = W/t
Where:
M = mass (in kg)
W = weight (in N)
t = time (in hours)
First, we need to calculate the weight of the object at a height of 25 meters.
Weight = mass x gravity
Weight = 120,000 kg x 9.81 m/s^2 (gravity)
Weight = 1,176,000 N
Now, we need to take into consideration that the object is lifted to a height of 25 meters in 1 hour, which means the work done is the same as the change in potential energy.
Work = change in potential energy
Work = Mgh
Where:
M = mass (in kg)
g = acceleration due to gravity (9.81 m/s^2)
h = height (in meters)
So, we have:
1,176,000 N = M x 9.81 m/s^2 x 25 m
Solving for M:
M = 1,176,000 N / (9.81 m/s^2 x 25 m)
M = 1,176,000 N / 245.25
M ≈ 4800 kg
Therefore, the mass of the object is approximately 4800 kg.