James and Sarah stand on a stationary cart with frictionless wheels. The total mass of the cart and riders is 130 kg. At the same instant, James throws a 1.0 kg ball to Sarah at 4.5 m/s, while Sarah throws a 0.50 kg ball to James at 1.0 m/s. (Both speeds are measured relative to the ground.) James’s throw is to the right and Sarah’s is to the left. a. While the two balls are in the air, what are the speed and direction of the cart and its riders? b. After the balls are caught, what are the speed and direction of the cart and riders?
James and Sarah stand on a stationary cart with frictionless wheels. The total mass of the cart and riders is 130 kg. At the same instant, James throws a 1.0 kg ball to Sarah at 4.5 m/s, while Sarah throws a 0.50 kg ball to James at 1.0 m/s. (Both speeds are measured relative to the ground.) James’s throw is to the right and Sarah’s is to the left. a. While the two balls are in the air, what are the speed and direction of the cart and its riders? b. After the balls are caught, what are the speed and direction of the cart and riders?
James and Sarah stand on a stationary cart with frictionless wheels. The total mass of the cart and riders is 130 kg. At the same instant, James throws a 1.0 kg ball to Sarah at 4.5 m/s, while Sarah throws a 0.50 kg ball to James at 1.0 m/s. (Both speeds are measured relative to the ground.) James’s throw is to the right and Sarah’s is to the left.
a. While the two balls are in the air, what are the speed and direction of the cart and its riders?
b. After the balls are caught, what are the speed and direction of the cart and riders?
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
Chapter 9 Solutions
College Physics: A Strategic Approach (3rd Edition)
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