mr mcmurry taked 4327 sips of mountain dew each day. each time he takes a drink he moves the bottle 45cm to his mouth and another 45cm to his mouth and another 45cm back to the table .If the bottle has a massof 567 grams (5.1newtons)how much work does Mr Mcmurry do during the day?
how much work is done by a crane that lowers 1,000 newtons of material a distance of 150 medters?
a student who weighs 500 newtons climbed the stairs from first floor third to the third floor,15 meters above in 20 seconds
how much work did she do?
what was her power?
To calculate the work done by Mr. McMurry during the day, we need to find the total distance traveled by the bottle and then multiply it by the force required to move it.
First, let's find the total distance traveled by the bottle in a day. Each sip involves moving the bottle from the table to his mouth and then back to the table. This means that the total distance traveled for each sip is 45cm + 45cm = 90cm.
Now, we need to find the number of sips Mr. McMurry takes each day, which is given as 4327 sips.
To find the total distance traveled in a day, we multiply the distance per sip by the number of sips:
Total distance = 90cm/sip * 4327 sips = 389,430 cm.
Next, we need to convert the total distance to meters, since work is typically measured in joules (J), and 1 meter = 100 cm:
Total distance = 389,430 cm / 100 = 3,894.3 meters.
Now, using the formula for work (W = force * distance), we can find the work done by Mr. McMurry.
Given that the mass of the bottle is 567 grams (or 0.567 kg) and the force of gravity is approximately 9.8 m/s², we can calculate the force:
Force = mass * acceleration due to gravity = 0.567 kg * 9.8 m/s² = 5.5416 newtons (rounded to 4 decimal places).
Finally, we can calculate the total work done:
Work = Force * Distance = 5.5416 N * 3,894.3 m ≈ 21,556.86 joules (rounded to 2 decimal places).
Therefore, Mr. McMurry does approximately 21,556.86 joules of work during the day.