calculus problem

posted by .

the thin lens equation in physics is 1/s+1/S=1/f where s is the object distance from the lens,S is the image distance from the lens,and f is the focal length of the lens.Suppose that a certain lens has a focal length of 6cm and that an object is moving toward the lens at the rate of 2cm/s .How fast is the image distance changing at the instant when the object is 10cm from the lens?Is the image moving away from the lens or towards the lens?

  • calculus problem -

    I like it in this form:
    1/o + 1/i = 1/f for object, image, and focal length.

    take the derivative:
    -do/dt* 1/o^2 -di/dt 1/i^2= 0 (f is a constant0

    do di/dt= -(i/o)^2 do/dt

    Can you take it from here?

  • calculus problem -

    Suppose and object is traveling directly from the earth to moon. The mass of the earth is 5.9742 x10^24 kg, the mass of the moon is 7.349 x 10^22 kg, and the mean distance from the earth to the moon is 384,000km. For an object between the earth and the moon, how far from earth is the force of the object due to the moon greater than the force on the object due to earth?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Science Important

    1. A toy of height 18.4 cm is balanced in front of a converging lens. An inverted, real image of height 33 cm is noticed on the other side of the lens. What is the magnification of the lens?
  2. Physics

    An image of a candle is produced by a convex lens 14 cm away. If the focal length of the lens is 7 cm, how far from the lens is the candle placed?
  3. calculus

    If f is the focal length of a convex lens and an object is placed at a distance p from the lens, then its image will be at a distance q from the lens, where f, p, and q are related by the lens equation 1/f = 1/p + 1/q What is the rate …
  4. CALCULUS

    If you could give an explenation with the answers, that'd be wonderful so I actually know how to solve similar problems in the future. :) Thank you so much! 1. A convex lens with focal length f centimeters will project the image of …
  5. Physics

    An object is placed in front of a converging lens in such a position that the lens (f = 13.2 cm) produces a real image located 23.5 cm from the lens. Then, with the object remaining in place, the lens is replaced with another converging …
  6. Physics

    An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 65 …
  7. Physics

    An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 95 …
  8. Physics

    An object is placed 20.0 cm from a thin converging lens along the axis of the lens. If a real image forms behind the lens at a distance of 8.00 cm from the lens, what is the focal length of the lens?
  9. calculus

    A convex lens of a focal length f can be defined by the lens equation 1/f=1/p + 1/q if an object is a distance p from the lens, then the distance q from the lens to the images. For a particular lens, f=2cm and p is increasing find …
  10. calc

    If f is the focal length of a convex lens and an object is placed at a distance p from the lens, then its image will be at a distance q from the lens, where f, p, and q are related by the lens equation 1f=1p+1q What is the rate of …

More Similar Questions