Your heart continually pumps 5 gallons of blobd throughout your cardiovascular system. The blood moves fastest when exiting the heart at 6.3 miles per hour, and the speed decreases linearly by 0.25 miles per hour as it moves through the body. Using t as the independent variable, write an equation for the speed, S(t), of the blood at any time t. S(t) =
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- Newton's law of universal gravitation can be expressed by the equation F = G Mm r2 , where F is the gravitational force, M and m are masses, and r is a length. Force has the SI units kg · m/s2. What are the SI units of the proportionality constant G?You have been given a small rock sample to identify based on its density. Suppose that you use the displacement method to determine the volume of the rock sample to be 95 cm³ . The mass of the sample is 285 g. Which of the following is the most likely composition of this sample? Granite: density = 2650 kg/m³ O Limestone: density = 1978 kg/m³ Iron-Nickel Alloy: density = 9900 kg/m³ Basalt: density = 3000 kg/m³ Granite: density = 2150 kg/m³ Peridotite: density = 3300 kg/m3Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).
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