Physics for Scientists and Engineers 10th. Edition by Serway, Raymond A.; Jewett, John W. | 9781337553278 | 1337553271

Physics

Physics for Scientists and Engineers

351 SOLVED PROBLEMS

6 SOLVED PROBLEMS

Question: 44.4

Is Strangeness Conserved? (A) Use the law of strangeness conservation to determine whether the reaction π^0 + n → K^+ + Σ^- occurs. (B) Show that the reaction π^- + p → π^- + Σ^+ does not conserve strangeness. ...

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(A) Conceptualize We recognize that there are stra...

Question: B.10

Find the volume of a sphere of radius 6.20 cm ± 2.0%. ...

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Because the result is determined by raising a quan...

Question: B.9

Find the change in temperature, with associated uncertainty, when the temperature increases from (27.6 ± 1.5)°C to (99.2 ± 1.5)°C ...

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Because the result is a subtraction, add the absol...

Question: B.8

Find the area, with associated uncertainty, of a rectangular plate of dimensions 5.5 cm ± 1.8% by 6.4 cm ± 1.6%. ...

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Because the result is a multiplication, add the pe...

Question: B.7

A useful formula that follows from Equation B.30 is the derivative of the quotient of two functions. Show that d/dx [g(x)/h(x)] = h dg/dx – g dh/dx / h² ...

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Write the quotient as

g h^{-1}

and ...

Question: B.6

Find the derivative of y(x) = x³/(x + 1)² with respect to x. ...

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Rewrite the function as a product:

y(x)=x^3...

Question: B.5

Find the derivative of y(x) = 8x^5 + 4x³ + 2x + 7 ...

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Apply Equation B.29 to each term separately and re...

Question: B.4

Use Equation B.28 to find the derivative of the following function: y(x) = ax³ + bx + c, where a, b, and c are constants. ...

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Evaluate the function at x + Δx: y(x + Δx) = a(x +...

Question: B.3

Consider the right triangle in Figure B.12 in which a = 2.00, b = 5.00, and c is unknown. (A) Find c. (B) Find the angle θ. ...

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(A) Use the Pythagorean theorem: c² = a² + b² = 2....

Question: B.2

Solve the two simultaneous equations (1) 5x + y = -8 (2) 2x – 2y = 4 ...

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Solve Equation (2) for x: (3) x = y + 2 Substitu...

Question: 24.7

A Sphere Inside a Spherical Shell A solid insulating sphere of radius a carries a net positive charge Q uniformly distributed throughout its volume. A conducting spherical shell of inner radius b and outer radius c is concentric with the solid sphere and carries a net charge -2Q. Using Gauss’s law, ...

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Conceptualize Notice how this problem differs from...

Question: 20.5

An Isothermal Expansion A 1.0-mol sample of an ideal gas is kept at 0.0°C during an expansion from 3.0 L to 10.0 L. (A) How much work is done on the gas during the expansion? (B) How much energy transfer by heat occurs between the gas and its surroundings in this process? (C) If the gas is returned ...

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(A) Conceptualize Run the process in your mind: th...

Question: 14.6

A Titanic Surprise An iceberg floating in seawater as shown in Figure 14.12a is extremely dangerous because most of the ice is below the surface. This hidden ice can damage a ship that is still a considerable distance from the visible ice. What fraction of the iceberg lies below the water level? ...

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Conceptualize You are likely familiar with the phr...

Question: 44.3

Applying the Semiempirical Binding-Energy Formula The nucleus ^64Zn has a tabulated binding energy of 559.09 MeV. Use the semiempirical binding-energy formula to generate a theoretical estimate of the binding energy for this nucleus. ...

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Conceptualize Imagine bringing the separate proton...

Question: 9.7

A Two-Body Collision with a Spring A block of mass m1 = 1.60 kg initially moving to the right with a speed of 4.00 m/s on a frictionless, horizontal track collides with a light spring attached to a second block of mass m2 = 2.10 kg initially moving to the left with a speed of 2.50 m/s as shown in ...

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(A) Conceptualize With the help of Figure 9.10a, r...

Question: 8.8

Block–Spring Collision A block having a mass of 0.80 kg is given an initial velocity vⒶ = 1.2 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k = 50 N/m as shown in Figure 8.11. (A) Assuming the surface to be frictionless, calculate the maximum ...

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(A) Conceptualize The various parts of Figure 8.11...