1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Basic Frictional Forces/Gravity Question

  1. Jul 15, 2011 #1
    1. The problem statement, all variables and given/known data

    An elevator containing three passengers (with a mass of 72kg, 84kg, and 35kg, respectively) has a combined mass of 1030kg. The cable attached to the elevator exerts an upward force of 12 000N, but friction opposing the motion of the elevator is 1400N.

    a) Calculate the net acceleration of the elevator and its passengers.

    I started by calculating F(net).

    F(net) = 12 000N - (Ff + Fg)
    F(net) = 12 000N - (1400N + (1030kg * 9.80m/s^2))
    F(net) = 506N

    Now, to calculate net acceleration:

    a(net) = F(net) / m
    a(net) = 506N / 1030kg
    a(net) = 0.49m/s^2

    Is that correct? That seems realistic for an elevator (I think).

    b) Calculate the force normal acting on the 35kg passenger.

    Fn = mg - ma
    Fn = (35kg)(9.80m/s^2) - (35kg)(0.49m/s^2)
    Fn = 325.85N

    Am I doing this properly so far?

    c) What velocity will the elevator have 12 seconds after the passengers have entered the elevator?

    v = a * t
    v = 0.49m/s^2 * 12s
    v = 5.88m/s

    Can anybody verify if this is correct? It would be much appreciated!
     
  2. jcsd
  3. Jul 15, 2011 #2

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    You are standing in an elevator when the door closes and the elevator starts to go up. Do you feel heavier or lighter when the elevator car starts to move?

    You are in an elevator at the top of a building when the elevator cable suddenly snaps and the elevator starts to fall. When the fall starts, do you feel heavier or lighter?
     
  4. Jul 15, 2011 #3
    So...I didn't do it properly then?

    I know that you feel heavier when the elevator begins to ascend, and you feel lighter when the elevator begins to descend.

    Since the elevator is ascending in this case, should Fn = mg + ma?

    Fn = mg + ma
    Fn = (35kg)(9.80m/s^2) + (35kg)(0.49m/s^2)
    Fn = 360.15N

    Is this what you're trying to get at? Sorry, I'm a little lost!
     
  5. Jul 15, 2011 #4

    Chi Meson

    User Avatar
    Science Advisor
    Homework Helper

    That is correct. You are not exactly adding "+a" with "-g." In a classical physics explanations (as opposed to the more correct General Relativity explanation) you can think that the normal force has to do two things--1: balance the weight of the person, then 2: supply additional net force to cause the person's acceleration. This means the normal force, when accelerating up, will be m(g+a) {these values are the magnitudes of the vector quantities}, and when accelerating down (which includes coming to a stop when the elevator arrives at the top ) it's m(g-a) .
     
    Last edited: Jul 15, 2011
  6. Jul 15, 2011 #5
    Makes sense, thanks a lot!

    So I did part a) and c) properly then?
     
  7. Jul 15, 2011 #6

    Chi Meson

    User Avatar
    Science Advisor
    Homework Helper

    It appears so. I don't have my calculator, but the process is correct.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Basic Frictional Forces/Gravity Question
  1. Basic forces/friction (Replies: 2)

Loading...