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Using Formulas. Steps for Solving Formula Problems 1.Choose the correct formula (if it not given to you in the problem) 2.Identify what to substitute.

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Presentation on theme: "Using Formulas. Steps for Solving Formula Problems 1.Choose the correct formula (if it not given to you in the problem) 2.Identify what to substitute."— Presentation transcript:

1 Using Formulas

2 Steps for Solving Formula Problems 1.Choose the correct formula (if it not given to you in the problem) 2.Identify what to substitute for each variable 3.Substitute 4.Solve the resulting equation

3 The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed? In the above problem, what would you substitute for m? A. m=250 B. m=5 C. m=50 D. Nothing, m is the variable that needs to be solved for. Click on the yellow star above that you think is the correct answer. Remember that m is the mass. What is the mass of the dog? Great Job! Great Job!

4 In the above problem, what would you substitute for v? A. v=250 B. v=5 C. v=50 D. nothing, v is the variable that needs to be solved for The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed? Click on the yellow star above that you think is the correct answer. Remember that v is the velocity. Do we know the velocity of the dog? Do we know the velocity of the dog? Remember that v is the velocity. Fantastic!

5 In the above problem, what would you substitute for ? A. =250 B. =5 C. =50 D. nothing, is the variable that needs to be solved for The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed? Click on the yellow star above that you think is the correct answer. You Rock! You Rock! Remember that is the energy in joules. What is the energy in joules of the dog? Remember that is the energy in joules. What is the energy in joules of the dog? Remember that is the energy in joules. What is the energy in joules of the dog?

6 The Three Questions 1.What is the mass of the dog? 2.Do we know the velocity of the dog? 3.What is the energy in joules of the dog? (Remember that v is the velocity.) (Remember that is the energy in joules.)

7 Which is the equation you would need to solve after substituting? A. 250= ½ m(5) 2 B. = ½(5)(250) 2 C. 250= ½(5)v 2 D. 5= ½ (250)v 2 The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed? Click on the yellow star above that you think is the correct answer. Smarty Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable

8 Which is the solution to this problem? A. 5 meters per second B. 10 meters per second C. 50 meters per second D. 100 meters per second The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed? Click on the yellow star above that you think is the correct answer. Take the equation from the last slide and solve for v.last slide Take the equation from the lastlast slideslide and solve for v. Remember if you have v 2 =100, you need to take the square root of both sides to solve for v. Way to Go! Way to Go!

9 Here is the work for this problem so you can check your work. 250= ½(5)v 2 250=2.5v 2  multiply ½ times 5 100=v 2  Divide both sides by =v  Take the square root of both sides The kinetic energy of an object can be found with the formula, where is the energy in joules, m is the mass in kilograms, and v is the velocity in meters per second. A dog with a mass of 5 kilograms has 250 joules of kinetic energy when moving at what speed?

10 The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens? In the above problem, what would you substitute for f? A. f=6 B. f=3 C. f=9 D. nothing, f is the variable that needs solved Click on the yellow star above that you think is the correct answer. Oooh, Ahhh! Oooh, Ahhh! Remember that f is the focal length of the lens. Are we given this value?

11 In the above problem, what would you substitute for d o ? A. d 0 =6 B. d 0 =3 C. d 0 =9 D. nothing, d 0 is the variable that needs solved for. The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens? Click on the yellow star above that you think is the correct answer. Great Mind! Great Mind! Remember that d 0 is the distance the object is from the lens.

12 In the above problem, what would you substitute for d i ? A. d i =6 B. d i =3 C. d i =9 D. nothing, d i is the variable that needs solved for. The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens? Click on the yellow star above that you think is the correct answer. Wow! Remember that d i is the distance the Image of the object is from the lens? Remember that d i is the distance the Image of the object is from the lens?

13 Which is the equation you would need to solve after substituting? A. B. C. D. The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens? Click on the yellow star above that you think is the correct answer. Impressive! Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable. Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable. Refer back to the last 3 questions to seelast 3 questions what can be substituted for each variable.

14 A. ½ cm Which is the solution to this problem? B. 1/9 cm D. 9 cm C. 2 cm The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens? Click on the yellow star above that you think is the correct answer. Good Answer! Good Answer! Take the equation from the last slide, find a common denominator, add and simplify. Then finish solving from there. Take the equation from the last slide, find a common denominator, add and simplify. Then finish solving from there. Take the equation from the last slide, find a common denominator, add and simplify. Then finish solving from there.

15 Here are the steps for this problem so you can check yourself.  Add the fractions and simplify.  Rewrite the fractions with a common denominator.  Take the reciprocal of both sides. The formula describes the relationship between the focal length of a camera lens (f), the distance an object is from the lens (d 0 ), and the distance the image of the object is from the lens (d i ). What is the focal length, in centimeters (cm), of a lens when an object is placed 3 cm from the lens and the image is 6 cm from the lens?


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