A block of ice is exposed to heat in such a way that the block maintains a similar shape as it metls. The block of ice is initially 2' wide, 2 'high, and 3' long. If the change in the width of the ice is -1/3 ft/hr, find: the amount of time it will tak efor the block of the ice to completely melt.

I found that the rate of change in the volume of the ice block is -3/2 ft^3/hr. Do you just divide the volume of the cube (12 ft^3) by the rate of change of the volume (-3/2 ft^3/hr)?

  1. 👍
  2. 👎
  3. 👁
  1. v = w*w*3w/2 = 3/2 w^3
    dv/dt = 9/2 w^2 dw/dt
    = 9/2 * -1/3 = -3/2

    your dv/dt is correct.

    as for your question, consider the units:

    time = ft^3 / ft^3/hr = 12/(3/2) = 8 hr

    1. 👍
    2. 👎
  2. Thank you! That was helpful :)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    A 0.003 0-kg lead bullet is traveling at a speed of 240 m/s when it embeds in a block of ice at 0°C. If all the heat generated goes into melting ice, what quantity of ice is melted? (Lf = 80 kcal/kg, the specific heat of lead =

  2. Physics

    A block of mass m = 2.00 kg rests on the left edge of a block of mass M = 8.00 kg. The coefficient of kinetic friction between the two blocks is 0.300, and the surface on which the 8.00- kg block rests is frictionless. A constant

  3. physics

    Years ago, a block of ice with a mass of about 22kg was used daily in a home icebox. The temperature of the ice was 0.0 degrees Celsius when delivered. As it melted, how much heat did a block of ice that size absorb? The latent

  4. physics

    an ice skater applies a horizontal force to a 20 kg block on frictionless, level ice causing the block to accelerate uniformly at 1.4 m/s^2 to the right. after the skater stops pushing the block it slides onto a region of ice that

  1. Physics

    A 35-g block of ice at -14°C is dropped into a calorimeter (of negligible heat capacity) containing 400 g of water at 0°C. When the system reaches equilibrium, how much ice is left in the calorimeter? The specific heat of ice is

  2. physics

    A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 210 N/m and is compressed a distance 2.60×10−2 m. The spring is released and accelerates the block along a horizontal surface. You

  3. physics

    A 2.5 kg block of ice at a temperature of 0.0 degrees Celcius and an initial speed of 5.7 m/s slides across a level floor. If 3.3 x 10^5 J are required to melt 1.0 kg of ice, how much ice melts, assuming that the initial kinetic

  4. heat of vaporization

    Suppose that 1.00 g of rubbing alcohol (C3H8O) evaporates from a 54.0 g aluminum block. If the aluminum block is initially at 25 C, what is the final temperature of the block after the evaporation of the alcohol? Assume that the

  1. physics

    A block of ice at 0°C whose mass initially is m = 48.4 kg slides along a horizontal surface, starting at a speed vo = 4.91 m/s and finally coming to rest after traveling a distance d = 12.28 m. Compute the mass of ice melted as a


    A heat transfer of 9.5 x 10^5 J is required to convert a block of ice at -15°C to water at 15°C. What is the mass of the block of ice?

  3. science

    Use the scenario to answer the question. A light yellow block and a dark blue box are next to each other in full sunlight on a summer day. Which statement accurately explains what happens to the boxes? (1 point) The light yellow

  4. physics

    A heat transfer of 9.0*105J is required convert a block of ice at 20C to water at 15C. What was the mass of the block of ice?

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