physics

posted by .

I tried doing this problem but couldn't get the right answer. I don't get how the answer is 2.19cm. Is the distance referring to the vertical or horizontal distance

Four people, each with a mass of 73.5 kg, are in a car with a mass of 1190 kg. An earthquake strikes. The driver manages to pull of the road and stop, as the vertical oscillations of the ground surface make the car bounce up and down on its suspension springs. When the frequency of the shaking is 1.50 Hz, the car exhibits a maximum amplitude of vibration. The earthquake ends and the four people leave the car as fast as they can. By what distance does the car's undamaged suspension lift the car's body as the people get out?

  • physics -

    Wo = sqrt(k/m)
    2 pi * 1.5 = Wo = 9.42 radians/s
    so
    9.42 = sqrt (k/(1190+4*73.5) )

    88.8 = k/1484
    k = 131,780 Newtons/meter

    newtons lost = 4 * 73.5 * 9.81 = weight (not mass) of people

    newtons lost = 2884 Newtons

    elongation = F/k = 2884/131,780 = .022 meters = 2.2 centimeters, about an inch

  • physics -

    why are we using the newton lost but not the newton remaining

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A sled of mass m is given a kick on a frozen pond. The kick imparts to it an initial speed of 2.00 m/s. The coefficient of kinetic friction between sled and ice is 0.100. Use energy considerations to find the distance the sled moves …
  2. Physics

    I thought I did the problem right, but I don't think I came out with the right answer! Please someone check to see if I got this problem right. Calculate the force of gravity between Earth (mass=6.0*10^24 kg) and the moon (mass=7.4*10^22 …
  3. Physics

    There is a horizontal rod of length L and mass M. A point mass m is vertically above the rod at a vertical distance L/4 and horizontal distance L/3 from one end of the rod.Using The Riemann sum Integral,find the magnitude and direction …
  4. Physics

    Ok the problem I'm doing has two parts I know how to do part a and got the right answer I think... I do not know how to do part b Here's the problem A student driver wants to make his car jump over 8 cars parked side by side below …
  5. physics

    projectile motion with constant horizontal speed ?
  6. Physics

    When a mass is attached to a vertical spring, the spring is stretched a distance d. The mass is then pulled down from this position and released. It undergoes 53 oscillations in 30.6 s. What was the distance d?
  7. maths

    The relationship between the vertical height and the horizontal distance of a ball thrown at 45 degree is given by the equation y = x - x^2/50, where y is the vertical height and x is the horizontal distance. (a) Find the maximum vertical …
  8. Physics

    An object fired at an angle of 31.9° above the horizontal takes 2.55 s to travel the last 15.5 m of its vertical distance and the last 10.5 m of its horizontal distance. With what speed was the object launched?
  9. Physics

    An object fired at an angle of 31.9° above the horizontal takes 2.55 s to travel the last 15.5 m of its vertical distance and the last 10.5 m of its horizontal distance. With what speed was the object launched?
  10. Physical Science

    Please check my answer!! I would be great if you could explain this to me a little as well... To find the amplitude, measure_____ a. the horizontal distance between consecutive positions b. the horizontal distance between a consecutive …

More Similar Questions