Numerade

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Umar Sohail Qureshi

Numerade educator

Refer to Figure 21.7 and the discussion of lights dimming when a heavy appliance comes on. (a) Given the voltage source is $120 \mathrm{V},$ the wire resistance is 0.400$\Omega$ , and the bulb is nominally 75.0 W, what power will the bulb dissipate if a total of 15.0 A passes through the wires when the motor comes on? Assume negligible change in bulb resistance. (b) What power is consumed by the motor?

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Chandan Gupta

Numerade educator

A fly is crawling from left to right along the top of the curve $y=7-x^{2}$ (Figure 5 ). A spider waits at the point (4,0) Find the distance between the two insects when they first see each other.

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Darshan Maheshwari

Numerade educator

In Exercises $37-42,$ find $(a) \sin \theta,(b) \cos \theta,$ and $(e) \tan \theta$ for the given quadrantal angle. If the value is undefined, write "undefined." $$-\frac{7 \pi}{2}$$

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Darshan Maheshwari

Numerade educator

In Exercises $11-14,$ find $(f \circ g)(3)$ and $(g \circ f)(-2)$ $$ f(x)=x^{2}-1 ; g(x)=2 x-3 $$

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Pritesh Ranjan

Numerade educator

The speed of waves on a string is 97 m$/$s. If the frequency of standing waves is 475 Hz, how far apart are two adjacent nodes?

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David Mccaslin

Numerade educator

DATA ANALYSIS: BROADWAY SHOWS The table shows the annual gross ticket sales $S$ (in millions of dollars) for Broadway shows in New York City from 1995 through 2006. (Source: The League of American Theaters and Producers, Inc.) (a) Use a graphing utility to create a scatter plot of the data. Let $t = 5$ represent 1995. (b) Use the $regression$ feature of a graphing utility to find the equation of the least squares regression line that fits the data. (c) Use the graphing utility to graph the scatter plot you created in part (a) and the model you found in part (b) in the same viewing window. How closely does the model represent the data? (d) Use the model to estimate the annual gross ticket sales in 2007 and 2009. (e) Interpret the meaning of the slope of the linear model in the context of the problem.

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Christopher Nilsen

Numerade educator

Write a nuclear equation for the formation of iron- 54 through fusion.

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Stephen Ho

Numerade educator

Over the years, the thermite reaction has been used for welding railroad rails, in incendiary bombs, and to ignite solid-fuel rocket motors. The reaction is $$ \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+2 \mathrm{Al}(s) \longrightarrow 2 \mathrm{Fe}(l)+\mathrm{Al}_{2} \mathrm{O}_{3}(s) $$ What masses of iron(III) oxide and aluminum must be used to produce 15.0 $\mathrm{g}$ iron? What is the maximum mass of aluminum oxide that could be produced?

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Paul Gabriel

Numerade educator

(II) A potter is shaping a bowl on a potter's wheel rotating at constant angular velocity of 1.6 rev/s (Fig. 8-48). The friction force between her hands and the clay is 1.5 N total. $(a)$ How large is her torque on the wheel, if the diameter of the bowl is 9.0 cm? $(b)$ How long would it take for the potter's wheel to stop if the only torque acting on it is due to the potter's hands? The moment of inertia of the wheel and the bowl is $0.11 kg\cdot m^2$.

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Vishal Gupta

Numerade educator

The distance between two telephone poles is 50.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.200 m. Draw a free-body diagram of the bird. How much tension does the bird produce in the wire? Ignore the weight of the wire.

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Jennifer N.