Trenton struggled as he lifted a 27kg mass vertically a distance of 9 meters in 4minutes with a constant velocity.
A-how much work did he do?
B-What was the average power comsumption in watts?
work= force*distance= mass*g*9
avg powr=work/timeinSeconds
I'm confused as how you'd set these up..
To find the work done by Trenton, we can use the formula: Work = Force × Distance. In this case, the force is equal to the weight of the mass, which can be calculated using the formula: Weight = Mass × Gravity.
A. Let's start by finding the weight of the mass. The standard gravity value is approximately 9.8 m/s².
Weight = Mass × Gravity
= 27 kg × 9.8 m/s²
≈ 264.6 N
Now we can calculate the work done by Trenton.
Work = Force × Distance
= Weight × Distance
= 264.6 N × 9 m
= 2381.4 J
Therefore, Trenton did approximately 2381.4 Joules of work.
B. To find the average power consumption, we can use the formula: Power = Work ÷ Time. However, we need to convert the time from minutes to seconds since the unit for power is watts (Joules/second).
Time = 4 minutes = 4 × 60 seconds = 240 seconds
Now we can calculate the average power consumption.
Power = Work ÷ Time
= 2381.4 J ÷ 240 s
≈ 9.92 W
Hence, the average power consumption during this exercise was approximately 9.92 watts.