You are to complete Fig. 15-23 a so that it is a plot of acceleration a versus time t for the spring – block oscillator that is shown in Fig. 15- 23 b for t = 0. (a) In Fig. 15-23 a . at which lettered point or in what region between the points should the (vertical) a axis intersect the t axis? (For example, should it intersect at point A, or maybe in the region between points A and B ?) (b) If the block’s acceleration is given by a = − a m cos( ωt + ϕ ), what is the value of ϕ ? Make it positive, and if you cannot specify the value (such as + π /2 rad), then give a range of values (such as between 0 and π /2). Figure 15-23 Question 6.
You are to complete Fig. 15-23 a so that it is a plot of acceleration a versus time t for the spring – block oscillator that is shown in Fig. 15- 23 b for t = 0. (a) In Fig. 15-23 a . at which lettered point or in what region between the points should the (vertical) a axis intersect the t axis? (For example, should it intersect at point A, or maybe in the region between points A and B ?) (b) If the block’s acceleration is given by a = − a m cos( ωt + ϕ ), what is the value of ϕ ? Make it positive, and if you cannot specify the value (such as + π /2 rad), then give a range of values (such as between 0 and π /2). Figure 15-23 Question 6.
You are to complete Fig. 15-23a so that it is a plot of acceleration a versus time t for the spring – block oscillator that is shown in Fig. 15- 23b for t = 0. (a) In Fig. 15-23a. at which lettered point or in what region between the points should the (vertical) a axis intersect the t axis? (For example, should it intersect at point A, or maybe in the region between points A and B?) (b) If the block’s acceleration is given by a = −am cos(ωt + ϕ), what is the value of ϕ? Make it positive, and if you cannot specify the value (such as + π/2 rad), then give a range of values (such as between 0 and π/2).
A less than youthful 80.6 kg physics professor decides to run the 26.2 mile (42.195 km) Los Angeles Marathon. During his months of training, he realizes that one important component in running a successful marathon is carbo-loading, the consumption of a sufficient
quantity of carbohydrates prior to the race that the body can store as glycogen to burn during the race. The typical energy requirement for runners is 1 kcal/km per kilogram of body weight, and each mole of oxygen intake allows for the release of 120 kcal of energy by
oxidizing (burning) glycogen.
(a) If the professor finishes the marathon in 5:15:00 h, what is the professor's oxygen intake rate, in liters per minute, during the race if he metabolizes all of the carbo-loaded glycogen during the race and the ambient temperature is 21.5°C?
2.02
×
Read the problem statement again carefully. Is the air at standard temperature and pressure during the marathon? How would this affect the volume of 1 mol of oxygen? L/min
(b) The…
You are using a microscope to view a dust particle suspended in a drop of water on a microscope slide. As water molecules bombard the particle, it "jitters" about in a random motion (Brownian motion). The particle's average kinetic energy is the same as
3
that of a molecule in an ideal gas (K =
The particle (assumed to be spherical) has a density of 350 kg/m³ in water at 23°C.
2
BT).
(a) If the particle has a diameter d, determine an expression for its rms speed in terms of the diameter d. (Enter your answer as a multiple of d−3/2. Assume v
is in m/s and d-3/2 is in m−3/2. Do not include units in your answer.)
rms
V.
=
rms
rms
Obtain an expression for v by equating the expression for the kinetic energy of the particle in terms of v
obtain an expression for the mass of the particle in terms of its diameter. d-3/2
rms
to the expression for the average kinetic energy of a molecule. Knowing the density of the particle and assuming it is a sphere, we can
(b) Assuming the particle moves at a…
You are watching a new bridge being built near your house. You notice during the construction that two concrete spans of the bridge of total length L; = 270 m are placed end to end so that no room is allowed for expansion (figure (a)). In the opening
storyline for the thermodynamics chapter, we talked about buckling sidewalks. The same thing will happen with spans on bridges if allowance is not made for expansion (figure (b)). You want to warn the construction crew about this dangerous situation, so
you calculate the height y to which the spans will rise when they buckle in response to a temperature increase of AT = 19.0°C.
a
b
T
T+AT
y =
Ider Enter a number. made by one span, with its thermally expanded length as the hypotenuse.
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