phys

The speed of ocean waves depends on their wavelength λ (in meters) and the gravitational field strength g (in m/sˆ2) in this way:

V=Kλˆp Gˆq

Where K is a dimentionless constant. Find the value of the exponents p and q.


Consider the dimensions. Left side, m/s.

Right side (dimentionless)(m)^p * (m/s^2)^q

m/s = m^P * m^q * 1/s^(2q)
consider the exponents of m
1=p+q
consider the exponents of s
-1=-2q

You should be able to solve. Check my thinking and math.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    1. Which of the following statements about mechanical waves is true? a. mechanical waves require a medium to travel through b. mechanical waves do not have amplitude and wavelength c. mechanical waves do not have frequency d.

  2. Science Help Please

    1.A weatherman reports, “The storm waves are about 2 meters high and about 35 meters apart.” What properties of waves is the reporter describing? (1 point) A.frequency and wavelength B.wavelength and wave speed C.amplitude and

  3. Physics

    Two mirrors of a laser separated by 8.0 cm form an optical cavity in which standing waves of laser light can be set up. Each standing wave has an integral number n of half wavelengths in the 8.0 cm length, where n is large and the

  4. Science

    A Fisherman in a row boat notices that one wave crest passes his fishing line ever 5 seconds. He estimates the distance between the crests to be 1.5 meters and that the crests of the waves are about .5 meters above the troughs.

  1. earth science

    Surface waves disturb the water column to depths of A. less than 100 feet B. about 100 meters C. about 100 miles D. 1/2 of their wavelength E. their wavelength

  2. physics

    In a double-slit experiment, two beams of coherent light traveling different paths arrive on a screen some distance away. What is the path difference between the two waves corresponding to the third bright band out from the

  3. physics - SHM

    Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string with a speed of 11 cm/s. If the time interval between instants when the string is flat is 0.33 s, what is the wavelength

  4. science

    Ocean waves are a source of energy. In 1–2 sentences, make and justify a claim about whether ocean waves are a renewable or nonrenewable resource.

  1. Intergarted Science

    I had a couple of questions on the topic of Waves-Sound and Light. 1. What is the source of all waves? *Vibration* 2. In one word, what is it that moves from source to receiver in a wave motion? *Energy* 3. Does the medium in

  2. Earth Space Science

    the horizontal distance between a crest to the next trough of an ocean wave is 5 meters. what is the wavelength of the ocean wave? A)2 meters B)5 meters C)10 meters D)20 meters I think its 10 meters but im not so sure, I would

  3. physics

    An earthquake generates three kinds of waves: surface waves (L waves), which are the slowest and weakest; shear (S) waves, which are transverse waves and carry most of the energy; and pressure (P) waves, which are longitudinal

  4. Physics

    While watching ocean waves at the dock of the bay, Otis notices that 9 waves pass beneath him in 28 seconds. He also notices that the crests of successive waves exactly coincide with the posts that are 5 meters apart. What are the

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