1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
-Dominant- [34]
3 years ago
5

What is the age of a sample if there are 6 grams of an element that have not decayed outof an original 24 grams and has a half-l

ife of 8yrs a. 8yrs b. 50yrs c. 29yrs d. 16yrs
Physics
1 answer:
amid [387]3 years ago
8 0

Answer:

d ) 16 years

Explanation:

If n be number of half years passed then

[tex]\frac{m}{m_0} =\sqrt[n]{\frac{1}{2} }[/tex]

m is mass undecayed m₀ is original mass

Here m = 6 g

m₀ =24 g

Putting these values

\frac{6}{24} =\sqrt[n]{\frac{1}{2} }

n = 2 half lives

age = 2 x 8 = 16 years

= 16 years

You might be interested in
Currents during lightning strikes can be up to 50000 A (or more!). We can model such a strike as a 47500 A vertical current perp
Rufina [12.5K]

Answer:

57 N

Explanation:

Force on a current carrying conductor in a magnetic field

B = 12 X 10⁻⁴ T

= Bil where B is magnetic field , i is current and l is length of conductor

force required = 12 x10⁻⁴ x 47500 x 1

= 57 N

6 0
3 years ago
An archer fires an arrow at a castle 230 m away. The arrow is in flight for 6 seconds, then hits the wall of the castle and stic
Vika [28.1K]

Answer:

(a). The initial speed of the arrow is 49.96 m/s.

(b). The angle is 39.90°.

Explanation:

Given that,

Horizontal distance = 230 m

Time t = 6 sec

Vertical distance = 16 m

We need to calculate the horizontal component

Using formula of horizontal component

R =u\cos\theta t

Put the value into the formula

\dfrac{230}{6} = u\cos\theta

u\cos\theta=38.33.....(I)

We need to calculate the height

Using vertical component

H=u\sin\theta t-\dfrac{1}{2}gt^2

Put the value in the equation

16 =u\sin\theta\times6-\dfrac{1}{2}\times9.8\times6^2

u\sin\theta=\dfrac{16+9.8\times18}{6}

u\sin\theta=32.06.....(II)

Dividing equation (II) and (I)

\dfrac{u\sin\theta}{u\cos\theta}=\dfrac{32.06}{38.33}

\tan\theta=0.8364

\theta=\tan^{-1}0.8364

\theta=39.90^{\circ}

(a). We need to calculate the initial speed

Using equation (I)

u\cos\theta\times t=38.33

Put the value into the formula

u =\dfrac{230}{6\times\cos39.90}

u=49.96\ m/s

(b). We have already calculate the angle.

Hence, (a). The initial speed of the arrow is 49.96 m/s.

(b). The angle is 39.90°.

5 0
3 years ago
Create a series circuit with a 10-volt battery and four 10-ohm resistors, as shown. Measure the current. A. Based on the voltage
iogann1982 [59]

Answer:

0.25 A

Resistance= 40 ohms

Explanation:

The first, and perhaps most important, the relationship between current, voltage, and resistance is called Ohm's Law, discovered by Georg Simon Ohm and published in his 1827 paper. Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points. Introducing the constant of proportionality, the resistance, one arrives at the usual V=IR. Any Electrical device or component that obeys “Ohms Law” that is, the current flowing through it is proportional to the voltage across it ( I α V ), such as resistors or cables, are said to be “Ohmic” in nature.

Since we are not in a laboratory, we can not experimentally measure the current but it can be calculated from ohm's law.

Given that the four resistors are connected in series and

Req= R1 + R2 + R3 + R4

Since all are four ohm resistors

Req= 10 + 10+10+10 = 40ohms

Then;

V= 10 V

R= 40ohms

I= ???

From;

V=IR

I= 10/40

I= 0.25 A

6 0
3 years ago
Read 2 more answers
A shot-putter released the shot at an angle of 41.5 degrees and a height of 1.9 m with an initial velocity of 13.3 m/s. How far
liq [111]

Answer:

x = 17.88[m]

Explanation:

We can find the components of the initial velocity:

(v_{x})_{o}  = 13.3*cos(41.5)=9.96[m/s]\\(v_{y})_{o}  = 13.3*sin(41.5)=8.81[m/s]

We have to remember that the acceleration of gravity will be worked with negative sign, since it acts in the opposite direction to the movement in direction and the projectile upwards.

g = - 9.81[m/s^2]

Now we must find the time it takes for the projectile to hit the ground, as the problem mentions that it does not impact on the board.

y=y_{o} +(v_{y} )_{o} *t-0.5*g*(t)^{2} \\0=1.9+(8.81*t)-(4.905*t^{2})\\-1.9=8.81*t*(1-0.5567*t)\\t=0\\t=1.796[s]

With this time we can calculate the horizontal distance:

x=(v_{x})_{o} *t\\x=9.96*1.796\\x=17.88[m]

3 0
3 years ago
Calculate the wave speed i the wavelength =64m and the wave period = 4s
Marina86 [1]
To do this you would take 64 and divide it by 4.
64/4= 16. 
Your answer is 16.
8 0
3 years ago
Other questions:
  • What is BEST to say about a runner who is running at a constant velocity? A. Their acceleration is positive. B. Their accelerati
    14·2 answers
  • Which of the following best describes the first step in the formation of a hurricane?
    12·1 answer
  • Can you use scalars and vectors to describe a home run?
    13·1 answer
  • A physics student drops a rock from a 55m cliff. How long does it take to hit the ground?
    12·2 answers
  • What type(s) of atoms make up the element carbon?
    15·2 answers
  • How many joules are required to heat .250 kg of liquid water from 0 °C to 100 °C ?
    10·1 answer
  • Based on what you know about how light travels, explain why
    13·2 answers
  • Why do astronomers hypothesize that a massive black hole lies at the center of m87?
    12·1 answer
  • A plane flying horizontally at an altitude of 1 mi and a speed of 480 mi/h passes directly over a radar station. Find the rate a
    5·1 answer
  • The figure below shows a dipole. If the positive particle has a charge of 37.3 mC and the particles are 3.08 mm apart, what is t
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!