500W = 500J/s
work = Force * distance = 2000kg*10*15m = 300000J
300000J รท 500J/s = 600s = 10 minutes
to a tank, which is at a height of 15 m from the ground? Use: g = 10 m/s2
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work = Force * distance = 2000kg*10*15m = 300000J
300000J รท 500J/s = 600s = 10 minutes
First, we need to calculate the gravitational potential energy of the water:
Potential energy = mass ร gravity ร height
PE = 2000 kg ร 10 m/sยฒ ร 15 m
PE = 300,000 Joules
Now, to find the time, we can use the formula:
Power = Work / Time
Since power is given as 500 Watts and work done is equal to the potential energy (PE), we have:
500 W = 300,000 J / Time
Solving for the time:
Time = 300,000 J / 500 W
Time = 600 seconds
So, my calculations show that the water pump will take 600 seconds to lift that amount of water to a height of 15 meters. That's quite an achievement, don't you think?
Work = Force x Distance
In this case, the force required to lift the water can be calculated using the formula:
Force = Mass x Gravity
Given:
Power of the water pump (P) = 500 W
Mass of the water (m) = 2000 kg
Height of the tank (h) = 15 m
Acceleration due to gravity (g) = 10 m/s^2
First, let's calculate the force required to lift the water:
Force = Mass x Gravity
Force = 2000 kg x 10 m/s^2
Force = 20,000 N
Next, we can calculate the work done by the water pump:
Work = Force x Distance
Work = 20,000 N x 15 m
Work = 300,000 J (Joules)
Since power is the rate at which work is done, we can use the formula:
Power = Work / Time
Rearranging the formula to find time, we get:
Time = Work / Power
Substituting the known values into the equation:
Time = 300,000 J / 500 W
Converting Watts to Joules per second:
1 Watt = 1 Joule/second
Therefore, dividing by 500 W is equivalent to dividing by 500 J/s.
Time = 300,000 J / 500 J/s
Simplifying the equation:
Time = 600 seconds
Therefore, it will take the water pump 600 seconds (or 10 minutes) to lift 2000 kg of water to a tank that is 15 m high.
Work = Force x Distance
First, let's calculate the force required to lift the water. The force can be found using the formula:
Force = Mass x Acceleration
Here, the mass of the water is given as 2000 kg, and the acceleration due to gravity is given as 10 m/s^2.
Force = 2000 kg x 10 m/s^2
Force = 20000 N
Next, we need to calculate the work done by the water pump. The work done is given by:
Work = Power x Time
Here, the power of the water pump is given as 500 W, and we need to find the time taken.
Work = 500 W x Time
Since the work done by the water pump is equal to the force multiplied by the distance, we can equate the two equations:
Force x Distance = Power x Time
20000 N x 15 m = 500 W x Time
Now, let's solve for Time:
Time = (20000 N x 15 m) / 500 W
Time = (300000 N m) / 500 W
Time = 600 s
Hence, the time taken by the water pump to lift the 2000 kg of water to a height of 15 m is 600 seconds.