The radioactive element radium (Ra) decays by a process known as alpha decay, in which the nucleus emits a helium nucleus. (These high-speed helium nuclei were named alpha particles when radioactivity was first discovered, long before the identity of the particles was established.) The reaction is 226 Ra → 222 Rn + 4 He, where Rn is the element radon. The accurately measured atomic masses of the three atoms are 226.025, 222.017, and 4.003. How much energy is released in each decay? (The energy released in radioactive decay is what makes nuclear waste “hot.”)
The radioactive element radium (Ra) decays by a process known as alpha decay, in which the nucleus emits a helium nucleus. (These high-speed helium nuclei were named alpha particles when radioactivity was first discovered, long before the identity of the particles was established.) The reaction is 226 Ra → 222 Rn + 4 He, where Rn is the element radon. The accurately measured atomic masses of the three atoms are 226.025, 222.017, and 4.003. How much energy is released in each decay? (The energy released in radioactive decay is what makes nuclear waste “hot.”)
The radioactive element radium (Ra) decays by a process known as alpha decay, in which the nucleus emits a helium nucleus. (These high-speed helium nuclei were named alpha particles when radioactivity was first discovered, long before the identity of the particles was established.) The reaction is 226Ra → 222Rn + 4He, where Rn is the element radon. The accurately measured atomic masses of the three atoms are 226.025, 222.017, and 4.003. How much energy is released in each decay? (The energy released in radioactive decay is what makes nuclear waste “hot.”)
Definition Definition Rate at which light travels, measured in a vacuum. The speed of light is a universal physical constant used in many areas of physics, most commonly denoted by the letter c . The value of the speed of light c = 299,792,458 m/s, but for most of the calculations, the value of the speed of light is approximated as c = 3 x 10 8 m/s.
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
A blacksmith cools a 1.60 kg chunk of iron, initially
at a temperature of 650.0° C, by trickling 30.0°C
water over it. All the water boils away, and the iron
ends up at a temperature of 120.0° C.
For related problem-solving tips and strategies, you
may want to view a Video Tutor Solution of
Changes in both temperature and phase.
Part A
How much water did the blacksmith trickle over the iron?
Express your answer with the appropriate units.
HÅ
mwater =
Value
0
?
Units
Submit
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