College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- Explain the difference between a rate of change that is positive and one that is negative. Give an example of each. O Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with the increase in x, then the rate of change of y is positive. Whereas, if y decreases as x increases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car accelerates, the speed increases with increasing time, and the rate of change of its speed is positive. When the car brakes, the rate of change of its speed is negative, because the speed decreases over time. Consider the ordered pair (x, y) where x is the independent variable and y is the dependent variable. If y increases with a decrease in x, then the rate of change of y is positive. Whereas, if y decreases as x decreases, then the rate of change is negative. For example, if you consider the speed of a car (y) over time (x), as the car…arrow_forwarda) You wish to compare the two experimental results the physicist got, so you decide to find the percent difference between these two values using the standard equation you learned in physics class: Substitute the following values for E1 and E2 and calculate the percent difference using the formula given below: E1 9.96 m/s2 E2 9.72 m/s2 Percent differnce___arrow_forwardDetermine the absolute uncertainty for the calculated value in the following scenarios. Express as (computed result) ± (absolute uncertainty) (units). You measure the volume of a stainless steel sphere by placing it into a100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL ofwater initially. After the sphere settles, the graduated cylinder now reads22 mL. What is the volume with uncertainty? Please use the formula I posted ! Thank you!arrow_forward
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- In the following equations, the letters b, c, d, fand g are constants. Find the SI units of each constant. Equation: Units of Show work here: b: c: a. position: x(t) = bt* + ct³ + dt² + ft + g, where t is time d: f:. b: b. displacement: y(x,t) = b cos(cx – dt), where t is time and x is position d: b: C. current: I(t) = be-et, where t is time and / is current, measured in amperes (symbol A) c:arrow_forwardIt's showing that b is not correct. Thank you for your help with this practice problem.arrow_forwardThe speed of sound is 1100 ft/sec at sea level. a. Express the speed of sound in mi/hr. b. Change the speed of sound to mi/year. Let 365 days=1 year.arrow_forward
- Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t,x) = x/t. Your measured distance and time have the following values and uncertainties x 3 meters, x =0,1 meters and t 1.8 seconds and 5t = 1.5 seconds. What is the uncertainty in the average speed, bV ? Units are not needed in your answer.arrow_forwardOne of the most well-known equations in fluid mechanics is the Bernoulli equation. The standard form of the Bernoulli equation for incompressible irrotational fluid flow is (see pic below)(P is pressure, u is flow velocity of the fluid, z is the height of fluid relative to a reference line)a. Verify that each additive term in the Bernoulli equation has the samedimensions. b. What are the dimensions of the constant C?arrow_forwardIf an equation is not dimensionally correct, does that mean that the equation cannot be true? a. yes b. noarrow_forward
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