The maintenance of stable internal conditions is called a. stimulus. b. autotrophy. c. homeostasis. d. response.
An online bank wants you to create a program that shows prospective customers how their deposits will grow. Your program should read the initial balance and the annual interest rate. Interest is compounded monthly. Print out the balances after the first three months. Here is a sample run: Initial balance: 1000 Annual interest rate in percent: 6.0 After first month: 1005.00 After second month: 1010.03 After third month: 1015.08
Brass weights are used to weigh an aluminum object on an analytical balance. The weighing is done one time in dry air and another time in humid air, with a water vapor pressure of Ph=2.00⋅103 PaP_{\mathrm{h}}=2.00 \cdot 10^3 \mathrm{~Pa}Ph=2.00⋅103 Pa. The total atmospheric pressure (P=1.00⋅105 Pa)\left(P=1.00 \cdot 10^5 \mathrm{~Pa}\right)(P=1.00⋅105 Pa) and the temperature (T=20.0∘C)\left(T=20.0^{\circ} \mathrm{C}\right)(T=20.0∘C) are the same in both cases. What should the mass of the object be to be able to notice a difference in the balance readings, provided the balance's sensitivity is m0=0.100mgm_0=0.100 \mathrm{mg}m0=0.100mg ? (The density of aluminum is ρA=2.70⋅103 kg/m3\rho_{\mathrm{A}}=2.70 \cdot 10^3 \mathrm{~kg} / \mathrm{m}^3ρA=2.70⋅103 kg/m3; the density of brass is ρB=8.50⋅103 kg/m3\rho_{\mathrm{B}}=8.50 \cdot 10^3 \mathrm{~kg} / \mathrm{m}^3ρB=8.50⋅103 kg/m3.)
Arailroad car rolling along by itself is passing by a grain elevator, which is dumping grain into it at a constant rate.
(a)(a)(a) Does momentum conservation imply that the railroad car should be slowing down as it passes the grain elevator? Assume that the track is frictionless and perfectly level and that the grain is falling vertically.