An engine provides a 10kw of power to lift a heavy load at a constant velocity a distance 20m in 5s. what is the mass of the object being lifted?
10kw=m*9.8*20m/5s
solve for mass
150kg?
no, redo your calculator.
when i worked it out one way i got 250kg and when i worked it out the second way i got 200kg
so what is the right answer?
To calculate the mass of the object being lifted, we can use the basic equation:
Power = Work/Time
Given that the power provided by the engine is 10 kW, the distance the load is lifted is 20 m, and the time taken is 5 s, we can rearrange the equation to solve for work:
Work = Power * Time
Substituting the given values:
Work = 10 kW * 5 s
Next, we can use another formula to determine the work done:
Work = Force * Distance
Since the load is lifted at a constant velocity, the force applied is equal to the weight of the load:
Force = Weight = Mass * Acceleration due to gravity
The acceleration due to gravity is approximately 9.8 m/s².
Now, we can write the equation for work in terms of mass:
Work = Mass * Acceleration due to gravity * Distance
Since the work done by the engine is equal to the work done lifting the load, we can equate these two:
10 kW * 5 s = Mass * 9.8 m/s² * 20 m
Now, we can solve for the mass:
Mass = (10 kW * 5 s) / (9.8 m/s² * 20 m)