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
andriy [413]
3 years ago
5

The half-life of the radioactive isotope Carbon-14 is about 5730 years. Find N in terms of t. The amount of a radioactive elemen

t A at time t is given by the formula A(t).
Physics
1 answer:
Fudgin [204]3 years ago
7 0

The complete queston is The amount of a radioactive element A at time t is given by the formula

A(t) = A₀e^kt

Answer:  A(t) =N e^( -1.2 X 10^-4t)

Explanation:

Given

Half life =  5730 years.

A(t) =A₀e ^kt

such that

A₀/ 2 =A₀e ^kt

Dividing both sides by A₀

1/2 = e ^kt

1/2 = e ^k(5730)

1/2 = e^5730K

In 1/2 =  5730K

k = 1n1/2 / 5730

k = 1n0.5 / 5730

K= -0.00012 = 1.2 X 10^-4

So that expressing   N in terms of t, we have

A(t) =A₀e ^kt

A₀ = N

A(t) =N e^ -1.2 X 10^-4t

You might be interested in
You jump off a platform 134 m above the Neuse River. After you have free-fallen for the first 40 m, the bungee cord attached to
omeli [17]

Answer:

The acceleration at lowest point is 19.62 m/s^2

Explanation:

Conservation of energy is an concept in which it is stated that the energy of an isolated object remains the same. Energy changes from one form to another.

Lets Assume

Constant of string is K

By using the conservation of energy we will have the following equation

1/2 x 80^2 x K = m x 9.81 x 120

3200 K =  1177.2 m

K = 1177.2 m / 3200

K = 0.368 m

At the lowest point we will have

a = ( K x X - m x g ) / m

a = ( 0.368 m x 80 - m x 9.81 ) / m

a = 19.62 m / s^2

So, the acceleration at lowest point is 19.62 m/s^2

7 0
3 years ago
Read 2 more answers
A steel tape (a=1.300 E-5 per Celsius degrees) measures 200.0 m at 15.00 degrees celsius. It’s length at 55.00 degrees celsius i
Verizon [17]

Answer:

200.1 m is the answer

8 0
3 years ago
Mirrors produce images by doing which of the following to light?
Gemiola [76]

Answer: C

Reflection

Explanation: Light travels in a straight line. Reflection is one of the properties of light. And this is the property in which mirror make use of. The ability of light to bounce back. It's this bouncing back characteristics of light ray that eventually produce the image of an object by the mirror.

If the light ray is absorbed, no image will be produced.

4 0
3 years ago
The uniform dresser has a weight of 91 lb and rests on a tile floor for which μs = 0.25. If the man pushes on it in the horizont
Rudiy27

Answer:

F = 22.75 lb

μ₁ = 0.15

Explanation:

The smallest force required to move the dresser must be equal to the force of friction between the man and the dresser. Therefore,

F = μR

F = μW

where,

F = Smallest force needed to move dresser = ?

μ = coefficient of static friction = 0.25

W = Weight of dresser = 91 lb

Therefore,

F = (0.25)(91 lb)

<u>F = 22.75 lb</u>

<u></u>

Now, for the coefficient of static friction between shoes and floor, we use the same formula but with the mas of the man:

F = μ₁W₁

where,

μ₁ = coefficient of static friction between shoes and floor

W₁ = Weight of man = 151 lb

Therefore,

22.75 lb = μ₁ (151 lb)

μ₁ = 22.75 lb/151 lb

<u>μ₁ = 0.15</u>

7 0
3 years ago
URGENT PLEASE HELP!!!!! A spring has a spring constant of 105 N/m. If you compress the spring 0.1 m past its natural length, wha
konstantin123 [22]
I believe it is 10.5?? 
6 0
4 years ago
Read 2 more answers
Other questions:
  • What the only type of investigation that involves a control group?
    5·2 answers
  • What is the frequency of an electromagnetic wave if it has a wavelength of 1.1 km? The speed of light is 3 × 108 m/s. Answer in
    11·1 answer
  • A woman is standing in the ocean, and she notices that after a wave crest passes by, five more crests pass in a time of 29.4 s.
    13·1 answer
  • An object slides down a very smooth ramp, with negligible friction. It slides with constant acceleration a under the action of t
    13·1 answer
  • A wire lying along a y axis form y=0 to y=0.25 m carries a current of 2.0 mA in the negative direction of the axis. the wire ful
    11·1 answer
  • Karla Ayala pulls a sled on an icy road (dangerous!). Because of Karla's pull, the tension force is 151 N, and the rope makes a
    13·1 answer
  • a 2kg ball moving at speed 5m/s hits a wall .the force exerted by the wall on the ball is 100n .if the collision is perfectly el
    10·1 answer
  • Phil is riding a scooter and pushes off the ground with his foot. this causes him to accelerate at 12 m /s. Phil weighs 600 N. h
    10·1 answer
  • Newton’s second law relates an object’s acceleration to its mass and the net force acting on it. Does newton’s second law apply
    7·1 answer
  • How much tension must a cable withstand to accellerate a 1400 kg car vertically upward at 0.70 m/s^2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!