What is the work needed to lift 15kg of water from well 12m deep. Assume the water has a constant upward acceleratin of 0.7m/s^2?
F = m*a = 15 * 0.7 = 10.5 N.
Work = F*d = 10.5 * 12 = 126 Joules.
The first response is wrong because 10.5 has to be multiplied by the mass to get the force (tension) needed to lift 15kg from that distance. F-mg=ma=>F=m(g+a)=>F=15(9.8+.7)=>F=15(10.5)=157.5N
To calculate the work needed to lift the water, we can use the equation:
Work (W) = Force (F) x Distance (d)
First, we need to find the force exerted on the water. The force is equal to the mass of the water multiplied by the acceleration due to gravity (9.8 m/s^2):
Force = mass x acceleration due to gravity
Given that the mass of the water is 15 kg, the force will be:
Force = 15 kg x 9.8 m/s^2
Next, we need to find the distance the water needs to be lifted. It is 12 meters deep, so the distance will be:
Distance = 12 meters
Now, we can plug in the values into the equation to find the work:
Work = Force x Distance
Work = (15 kg x 9.8 m/s^2) x 12 meters
Simplifying the equation, we have:
Work = 147 kg·m²/s² x 12 meters
Work = 1764 kg·m²/s²
Therefore, the work needed to lift the 15 kg of water from a well 12 m deep is 1764 kg·m²/s².
To calculate the work needed to lift the water, we can use the formula:
Work = Force x Distance
First, we need to find the force required to lift the water. The force is equal to the weight of the water, which is given by the formula:
Force = Mass x Acceleration
The mass of the water is given as 15kg, and the acceleration is given as 0.7m/s^2.
So, the force required to lift the water is:
Force = 15kg x 0.7m/s^2 = 10.5 Newtons
Now, we can calculate the work done to lift the water. The distance over which the water is lifted is 12m.
Therefore, the work done is:
Work = Force x Distance = 10.5N x 12m = 126 Joules
So, the work needed to lift 15kg of water from a well 12m deep, assuming a constant upward acceleration of 0.7m/s^2, is 126 Joules.