* BIO EST Exercising so you can eat ice cream You curl a 5.5-kg (12 lb) dumbbell that is hanging straight down in your hand up to your shoulder. (a) Estimate the work that your hand does in lifting the dumbbell. (b) Estimate the average mechanical power of the lifting process. Indicate any assumptions used in making the estimate. (c) Assuming the efficiency described at the end of Problem 7.59, how many times would you have to lift the dumbbell in order to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream? (Problem 7.59 provides the joule equivalent of a food calorie.) List the assumptions that you made.
* BIO EST Exercising so you can eat ice cream You curl a 5.5-kg (12 lb) dumbbell that is hanging straight down in your hand up to your shoulder. (a) Estimate the work that your hand does in lifting the dumbbell. (b) Estimate the average mechanical power of the lifting process. Indicate any assumptions used in making the estimate. (c) Assuming the efficiency described at the end of Problem 7.59, how many times would you have to lift the dumbbell in order to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream? (Problem 7.59 provides the joule equivalent of a food calorie.) List the assumptions that you made.
* BIO EST Exercising so you can eat ice cream You curl a 5.5-kg (12 lb) dumbbell that is hanging straight down in your hand up to your shoulder. (a) Estimate the work that your hand does in lifting the dumbbell. (b) Estimate the average mechanical power of the lifting process. Indicate any assumptions used in making the estimate. (c) Assuming the efficiency described at the end of Problem 7.59, how many times would you have to lift the dumbbell in order to burn enough calories to use up the energy absorbed by eating a 300-food-calorie dish of ice cream? (Problem 7.59 provides the joule equivalent of a food calorie.) List the assumptions that you made.
1.39 Given two vectors A = -2.00 +3.00 +4.00 and
B=3.00 +1.00 -3.00k. (a) find the magnitude of each vector;
(b) use unit vectors to write an expression for the vector difference
A - B; and (c) find the magnitude of the vector difference A - B. Is
this the same as the magnitude of B - Ä? Explain.
5. The radius of a circle is 5.5 cm.
(a) What is the circumference in meters?
(b) What is its area in square meters?
6. Using the generic triangle below, solve the following:
0 = 55 and c = 32 m, solve for a and b.
a = 250 m and b = 180 m, solve for the angle and c.
b=104 cm and c = 65 cm, solve for a and the angle
b
a
7. Consider the figure below representing the Temperature (T in degrees Celsius) as a function of time
t (in seconds)
4
12
20
(a) What is the area under the curve in the figure below?
(b) The area under the graph can be calculated using integrals or derivatives?
(c) During what interval is the derivative of temperature with respect to time equal to zero?
Part 3: Symbolic Algebra
Often problems in science and engineering are done with variables only. Don't let the different letters
confuse you. Manipulate them algebraically as though they were numbers.
1. Solve 3x-7= x + 3 for x
2x-1
2. Solve-
for x
2+2
In questions 3-11 solve for the required symbol/letter
3. v2 +2a(s-80), a =
=
4. B=
Ho I
2π r
5. K = kz²
6.xm=
MAL
,d=
d
7.T, 2
=
8.F=Gm
9. mgh=mv²
10.qV = mu²
80
12. Suppose that the height in meters of a thrown ball after t seconds is given by h =6+4t-t².
Complete the square to find the highest point and the time when this happens.
13. Solve by completing the square c₁t² + cat + 3 = 0.
14. Solve for the time t in the following expression = 0 + vot+at²
Campbell Essential Biology with Physiology (5th Edition)
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