Chapter 1: Q44E (page 1)
Find the vector product (expressed in unit vectors) of the two vectors given in Exercise 1.38. What is the magnitudeof the vector product?
Short Answer
The magnitude of .
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Chapter 1: Q44E (page 1)
Find the vector product (expressed in unit vectors) of the two vectors given in Exercise 1.38. What is the magnitudeof the vector product?
The magnitude of .
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A Simple Reaction-Time Test.A meter stick is held vertically above your hand, with the lower end between your thumb and first finger. When you see the meter stick released, you grab it with those two fingers. You can calculate your reaction time from the distance the meter stick falls, read directly from the point where your fingers grabbed it. (a) Derive a relationship for your reaction time in terms of this measured distance, d. (b) If the measured distance is 17.6 cm, what is your reaction time?
A hammer with mass m is dropped from rest from a height h above the earth’s surface. This height is not necessarily small compared with the radiusof the earth. Ignoring air resistance, derive an expression for the speed v of the hammer when it reaches the earth’s surface. Your expression should involve h,, and(the earth’s mass).
How many times does a human heart beat during a person’s lifetime? How many gallons of blood does it pump? (Estimate that the heart pumps 50 cm3 of blood with each beat.)
A car and a truck start from rest at the same instant, with the car initially at some distance behind the truck. The truck has a constant acceleration of, and the car has an acceleration of. The car overtakes the truck after the truck has moved. (a) How much time does it take the car to overtake the truck? (b) How far was the car behind the truck initially? (c) What is the speed of each when they are abreast? (d) On a single graph, sketch the position of each vehicle as a function of time. Takeat the initial location of the truck.
For the hydraulic lift shown in Fig. 12.7, what must be the ratio of the diameter of the vessel at the car to the diameter of the vessel where the force F1 is applied so that a 1520-kg car can be lifted with a force F1 of just 125 N?

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