Physics

How far x does it move down the incline before coming to rest? Suppose the incline is frictionless. The angle of inclination is 36 ◦ , the spring constant is 89.6 N/m the mass of the block is 9.05 kg and the acceleration of gravity is 9.8 m/s2 .
Answer in units of m
Choosing down the incline as the positive direction, what is its acceleration at its lowest point?
Answer in units of m/s2

  1. 👍 0
  2. 👎 0
  3. 👁 124
asked by Name
  1. weight component down incline = m g sin 36
    = 9.05 * 9.8* sin 36
    = 52.1 Newtons compressing spring
    work done by gravity = energy in spring
    52.1 x = (1/2) 89.6 x^2
    x = 1.16 m
    F spring = 89.6 * 1.16 =104 Newtons up incline
    net force up = 104 - 52.1 = 52.1 up
    a = F/m = 52.1/9.05 = 5.76 m/s^2

    1. 👍 0
    2. 👎 0
    posted by sly

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    How far x does it move down the incline before coming to rest? Suppose the incline is frictionless. The angle of inclination is 36 ◦ , the spring constant is 89.6 N/m the mass of the block is 9.05 kg and the acceleration of

    asked by Alex on January 5, 2014
  2. bowie

    A box is sliding up an incline that makes an angle of 21.8° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.170. The initial speed of the box at the bottom

    asked by trish on December 16, 2015
  3. Physics

    A box is sliding up an incline that makes an angle of 13.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom

    asked by Anonymous on October 29, 2012
  4. Physics

    A box is sliding up an incline that makes an angle of 17.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom

    asked by NHS on September 17, 2007
  5. Physics

    A box is sliding up an incline that makes an angle of 12.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom

    asked by Peter on October 21, 2011
  6. physics

    A box is sliding up an incline that makes an angle of 21.8° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.170. The initial speed of the box at the bottom

    asked by trish on December 16, 2015
  7. physics

    A box is sliding up an incline that makes an angle of 21.8° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.170. The initial speed of the box at the bottom

    asked by trish on December 16, 2015
  8. PHYSICS

    A box is sliding up an incline that makes an angle of 21.8° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.170. The initial speed of the box at the bottom

    asked by James on December 16, 2015
  9. 11th grade

    A box is sliding up an incline that makes an angle of 16.0° with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box at the bottom

    asked by shan lalani on September 20, 2010
  10. Physics

    A box is sliding up an incline that makes an angle of 15.0 degrees with respect to the horizontal. The coefficient of kinetic friction between the box and the surface of the incline is 0.180. The initial speed of the box and the

    asked by Matoro on December 8, 2012

More Similar Questions