When a ball of mass m is dropped through a height dif- ference Ah, its potential energy changes by the amount mg Ah, where g is the acceleration of gravity, equal to 9.81 m s-2. Suppose that when the ball hits the ground, all that energy is converted to heat, increasing the tem- perature of the ball. If the specific heat capacity of the material in the ball is 0.850 J K-1g¯!, calculate the height from which the ball must be dropped to increase the tem- perature of the ball by 1.00°C.

When a ball of mass m is dropped through a height dif- ference Ah, its potential energy changes by the amount mg Ah, where g is the acceleration of gravity, equal to 9.81 m s-2. Suppose that when the ball hits the ground, all that energy is converted to heat, increasing the tem- perature of the ball. If the specific heat capacity of the material in the ball is 0.850 J K-1g¯!, calculate the height from which the ball must be dropped to increase the tem- perature of the ball by 1.00°C.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A liquid food (density = 1,010 kg/m3, k =.5W/m°C, Cp = 3,000J/kg°C) is being heatedfrom an initial temperature of 12°C to a final center temperature. The heating occurs in a cylindrical container (D = .07 m, L =.10 m) and the heating conditions are: heating temperature of 121°C and convective heat transfer coefficient of1W/m2°C. a)Calculate the final product temperature at the center after heating for 30 minutes(1800 s). b)Is heating time sufficient to reach target center temperature of 65°C?
An aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.
Thank u! A copper rod has one end in ice at a temperature of O°C, the other in boiling water. The length and diameter of the rod are 1.80 m and 3.90 cm, respectively. At what rate in grams per hour does the ice melt? Assume no heat flows out the sides of the rod. Thermal conductivity of copper is 401 W/(m-K). Latent heat of fusion for water, Lf= 333.7 J/g. Water boils at 100°C
A 60.0-kg runner expends 300 W of power while running a marathon. Assuming 10.0% of the energy is delivered to the muscle tissue and that the excess energy is removed from the body primarily by sweating, determine the volume of bodily fluid (assume it is water) lost per hour. (At 37.0°C, the latent heat of vaporization of water is 2.41 × 106 J/kg.)
An 8-m-internal-diameter spherical tank made of1.5-cm-thick stainless steel (k = 15 W/m·K) is used to storeiced water at 0°C. The tank is located in a room whose temperatureis 25°C. The walls of the room are also at 25°C.The outer surface of the tank is black (emissivity « = 1),and heat transfer between the outer surface of the tank andthe surroundings is by natural convection and radiation. Theconvection heat transfer coefficients at the inner and theouter surfaces of the tank are 80 W/m2·K and 10 W/m2·K,respectively. Determine (a) the rate of heat transfer to theiced water in the tank and (b) the amount of ice at 0°C thatmelts during a 24-h period. The heat of fusion of water atatmospheric pressure is hif = 333.7 kJ/kg.
(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at 42.5°C? The coefficient of thermal expansion is 12 x 10-6/°C for steel and 0.9 x 10-6/°C for invar. mm (b) Repeat the calculation for two 16.0-m-long surveyor's tapes. mm
Ice of mass 10.0 kg at 0.00° C is placed in an ice chest. The ice chest has 2.00 cm thick walls of thermal coductivity 1.00 x 10^-5 kcal/s-m-C° and a surface area of 1.30m^2. (a) How much heat must be absorbed by the ice before it melts? (b) If the outer surface of the ice chest is at 30.0° C, how long will it take for the ice to melt?
In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is Tin = 20°C and the temperature outside is Tout = 0°C. The walls and uppermost ceiling of a typical house are supported by 2 x 6-inch wooden beams (kwood = 0.12 W/(mK)) with fiberglass insulation (kins = 0.04 W/(mK)) in between. The true depth of the beams is actually 5.625 %3D %3D %3D inches, but we will take the thickness of the walls and ceiling to be Lwall = 18 cm to allow for the interior and exterior covering. Assume that the house is a cube of length L = 9.0 m on a side. Assume that the roof has very high conductivity, so that the air in the attic is at the same temperature as the outside air. Ignore heat loss through the ground. The effective thermal conductivity of the wall (or ceiling) keff , is the area-weighted average of the thermal conductivities of the wooden beams and the fiberglass insulation that make up each of them. Allowing for the fact that the 2 x 6 beams…
One of the windows in a house has the shape of a square 1.0 m on a side. The glass in the window is 0.50 cm thick, andhas a coefficient of thermal conductivity of k = 0.84 W>1m # K2. (a) How much heat is lost through this window in oneday if the temperature difference between the inside and outside of the window is 21 C°? (b) Suppose all the dimensionsof the window—height, width, and thickness—are doubled. If everything else remains the same, by what factor doesthe heat flow change?
For heat transfer purposes, a standing man can be modeled as a 30-cmdiameter, 170-cm-long vertical cylinder with both the top and bottom surfaces insulated and with the side surface at an average temperature of 34°C. For a convection heat transfer coefficient of 15 W/m2 · °C, determine the rate of heat loss from this man by convection in an environment at 0°C.
The inner and outer surfaces of a 0.41-cm-thick 2.27-m x 2.81-m window glass in winter are 10.9°C and 3.75°C, respectively. If the thermal conductivity of the glass is 0.75 W/m · °C, determine the amount of heat loss, in kJ, through the glass over a period of 4.73 hours.
An insulated container is partly filled with oil. The lid of the container is removed, 0.150 kg of water heated to 84.0°C is poured in, and the lid is replaced. As the water and the oil reach equilibrium, the volume of the oil increases by 1.00x105 m³. The density of the oil is 919 kg/m³, its specific heat capacity is 1980 J/(kg-C°), and its coefficient of volume expansion is 726x10-6 (Cº)-¹. What is the temperature when the oil and the water reach equilibrium? Number Units