Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Please Help! I only have one question! Part 3 only?
Suppose the mass of a loaded elevator is 1250 kg.
a.) What force, in newtons, must be supplied by the elevator's cable to produce an acceleration of 0.715 m/s^s upwards against a 205-N frictional force?-- ANS 12951.25--
b.) How much work, in joules, is done by the cable in lifting the elevator 19 m? --ANS 246073.75--
c.) What is the final speed, in meters per second, of the elevator if it starts from rest?
I just need help with part c, please and thank you!
1 Answer
- WhomeLv 75 years agoFavorite Answer
a.) What force, in newtons, must be supplied by the elevator's cable to produce an acceleration of 0.715 m/s^s upwards against a 205-N frictional force?
F = m(g + a) + Ff
F = 1250(9.81 + 0.715) + 205
F = 13361.25
F = 13.4 kN
b.) How much work, in joules, is done by the cable in lifting the elevator 19 m
If we assume the elevator car is initially at rest, work must overcome friction, change the potential energy and accelerate the mass
W = Fd + mgh + ½mv²
d = h
v² = v₀² + 2as
v² = 0² + 2(0.715)19
v² = 27.17
W = Fd + mgh + ½mv²
W = 205(19) + 1250(9.81)19 + ½(1250)27.17
W = 253863.75
W = 254 kJ
c.) What is the final speed, in meters per second, of the elevator if it starts from rest
v² = 27.17
v = 5.21 m/s
I hope this helped.
Please remember to vote a "Best Answer" from among your results. It's good karma as it keeps things in balanced exchange.