Physics

Two objects with masses 4.90 and 2.10 hang 0.800 above the floor from the ends of a cord 7.20 long passing over a frictionless pulley. Both objects start from rest.

Find the maximum height reached by the 2.10 object.

The heavier object will move .8 m down, the lighter will move up an additional .8m.

max height= initial height+movement up.

but how do u find the initial height?

Thanks

  1. 👍 0
  2. 👎 0
  3. 👁 218
  1. Hey Ben,
    alright first you have to determine the acceleration of the system.
    Let m1=2.1kg and m2=4.9kg
    Use
    F=ma
    m2g-m1g=m2a+m1a
    (m2-m1)g=(m2+m1)a
    a= (m2-m1)(g)/(m2+m1)
    = (4.9-2.1)(9.8)/ (4.9+2.1)
    =3.92 ms^-2
    Now we must determine the speed of m1
    we use
    v^2=u^2+2as
    we know that m1 was at rest so u=0 m/s
    and also we know that m2 will go all the way down so m1 moves up 0.8m so s=0.8 m
    v^2=0+(2)(3.92)(0.8)
    v^2= 6.272
    v=2.5044 m/s

    Now we know that m1 is (0.8+0.8)m above the ground as m2 goes down to the floor

    So we add 1.6m to the max height

    To calculate max height
    use formula
    h=V^2/2g
    = (2.5044)^2/ (2 x 9.8)
    =0.32m
    so add 1.6m to max height
    0.32+1.60=1.92m

    HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    1. 👍 0
    2. 👎 0
  2. "so add 1.6m to max height
    0.32+1.60=1.92m"

    Sorry I meant max height is = 0.32+1.60=1.92m

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    Can someone please check my answers and if they are wrong can you help me fix them? Thank so much!! 1. Which of the following determines the strength of the force of gravity between two objects? Check all that apply. (2 points)

  2. Science

    The strength of the force of gravity between two objects is determined by which of the following factors? Select all that apply. A. the masses of the objects B. the distance between the objects C. the volumes of the objects D. the

  3. physics

    Two objects with masses of 3.00 kg and 7.00 kg are connected by a light string that passes over a frictionless pulley (a) Determine the tension in the string. .N (b) Determine the magnitude of the acceleration of each mass. .m/s2

  4. Physics

    A 800 N crate is being pulled across a level floor by a force F of 320 N at an angle of 29° above the horizontal. The coefficient of kinetic friction between the crate and the floor is 0.25. Find the magnitude of the acceleration

  1. Science

    Fill in the blank- The gravitational force between two objects is proportional to the ______ of the masses of the objects.

  2. science

    A video shows the objects in the solar system orbiting the sun. Why do objects orbit the sun?(1 point) The sun is releasing heat and pushing objects away. The sun is so bright that objects are forced away. The sun is moving so

  3. Science

    1. Which of the following statements about Newton's Third Law is the most true? a The forces acting upon two objects are dependent on the initial velocities of the objects b The law of conservation of momentum is obeyed in all

  4. physics

    In the vertical jump, an Kobe Bryant starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat Kobe as a particle and let ymax be

  1. Physics

    Belinda needs to find the center of mass of a sculpture she has made so that it will hang in a gallery correctly. The sculpture is all in one plane and consists of various shaped uniform objects with masses and sizes as shown. The

  2. Physics

    An atwood machine consists of a massless string connecting two masses over a massless, frictionless pully. In this case, the masses are 1.70kg and 1.65kg. The system is released from rest with the 1.7kg mass 2.15m above the floor

  3. physics

    Which quantity describes the gravitational force between two objects? the sum of the masses of the two objects divided by the distance between them the product of the masses of the two objects divided by the square of the distance

  4. Physics

    A cord passes over a weightless and frictionless pulley. Masses of 200 g and 300 g are attached to the ends of the cord. Find the distance the masses will move during the 5th second after they are started from rest.

You can view more similar questions or ask a new question.