A sample contains 20 kg of radioactive material. The decay constant of the material is 0.179 per second. If the amount of time that has passed is 300 seconds, how much of the of the original material is still radioactive? Show all work

Answer:

\(T_d=2.8*10^-^6\%\)

Explanation:

From the question we are told that

Distance b/w Earth and the moon \(d_e=3.84×10^8 m\)

Thickness of Earth's atmosphere\(d_t=30km\)

Constant index of refraction \(n = 1.000293.\)

Generally the equation for percentage of time delay \(T_d\) is mathematically given as

\(T_d=\frac{d(n-1)}{rm}*100\%\)

\(T_d=\frac{(35*10^3)(1.000293-1)()100)}{3.674*10^8} *\%\)

\(T_d=2.8*10^-^6 \%\)

Therefore the general percentage correction needed because of tym deley is given as

\(T_d=2.8*10^-^6\%\)

To determine which bucket contains more water, I would pour the water from one bucket into the other until they are both at the same level. Then, I would compare the amount of water left in each bucket. The bucket with more water remaining is the one that originally had more water.

Answer:

60mph=26.8224meters per second

Explanation:

Answer:

oil heats faster

Explanation:

The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination.

v = √rg tanθ

tanθ=v²/rg  

The relation gives the angle of banking of the cyclist going round the curve. Here v is the speed of the cyclist, r is the radius of the curve, and g is the acceleration due to gravity.

The banking angle is the angle that the surface makes with the horizontal, or the angle of inclination. The normal force acting on the car while travelling through such a curving road has a horizontal component. The centripetal force needed to prevent skidding is provided by this component.

To learn more about banking angle, click:

https://brainly.com/question/29160335

#SPJ1

Answer:

bipolar disorder

Explanation:

bipolar disorder, is previously known as manic depression, is a mental disorder characterized by periods of depression and periods of abnormally elevated mood that last from days to weeks.

Explanation:

A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

Answer:

5.6 m/s

Explanation:

m = 0.25 kg, h = 2 m

initail energy = mgh = 0.25 * 9.81 * 2 = 4.91 J

80% of 4.91 J converted to final kinetic energy mv^2/2

so 0.8 * 4.91 = 0.25*v^2/2

v^2 = 2*0.8*4.91/0.25 = 31.4

v = 5.6 m/s

Vector C = 15/4x - 13y

A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector and with an arrow indicating the direction. The direction of the vector is from its tail to its head.

Two examples of vectors are those that represent force and velocity. Both force and velocity are in a particular direction. The magnitude of the vector would indicate the strength of the force or the speed associated with the velocity.

From the question;

Vector A = 3x + 5y

Vector B = -3x + 6y

2A + 7B + 4C = 0

Substituting the vectors A and B

2(3x + 5y) + 7(-3x + 6y) + 4C = 0

6x +10y - 21x + 42y +4C = 0

Taking like terms

-15x +52y + 4C = 0

4C = 15x - 52y

Dividing both sides by 4

Vector C = 15/4x - 13y

In conclusion, our Vector C is derived by substituting in the equation given.

Learn more about vectors:https://brainly.com/question/25705666

#SPJ1

Answer:

I believe its a and c but my notes are all kinds of messed up so im sorry if its wrong

Explanation:

None of the  regions can the gravitational field strength due to the two planets be zero.

What is gravitational field?

A gravitational field is a model used in physics to explain the effects that a large thing has on the area surrounding it, exerting a force on smaller, less massive bodies. Consequently, a gravitational field, which is measured in newtons per kilogram, is employed to describe gravitational processes.

Field due to given masses can not be zero in the given region they do not cancel each other.

None of the  regions can the gravitational field strength due to the two planets be zero.

To learn more about gravitational field refer to the link:

brainly.com/question/12324569

#SPJ2

Answer:

c

Explanation:

1.Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule.

5.Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA = (-2, -2, -1)

1.To determine the unit vector pointing in the direction BA, we subtract the coordinates of point B from the coordinates of point A and normalize the resulting vector.

The direction vector BA is given by:

BA = (4 - 2, 1 - (-1), 1 - 0) = (2, 2, 1)

To obtain the unit vector in the direction of BA, we divide the direction vector by its magnitude:

|BA| = √(2^2 + 2^2 + 1^2) = √(4 + 4 + 1) = √9 = 3

Unit vector in the direction BA: BA/|BA| = (2/3, 2/3, 1/3)

2.The angular velocity (ω) of the body is given as 3 radians per second.

3.Without the position of point P given, it is not possible to write the position vector of P. Please provide the position of point P to proceed with the calculation.

4.Left-handed rotation refers to the direction of rotation where the rotation follows the left-hand rule. In a left-handed coordinate system, if you curl the fingers of your left hand in the direction of rotation, your thumb will point in the direction of the rotation axis. It is the opposite direction to a right-handed rotation.

5.The position vectors of points A and B are:

Position vector of point A: (4, 1, 1)

Position vector of point B: (2, -1, 0)

The direction vector BA can be obtained by subtracting the coordinates of point A from the coordinates of point B:

BA = (2 - 4, -1 - 1, 0 - 1) = (-2, -2, -1)

For more such questions on vector

https://brainly.com/question/30895553

#SPJ8

According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).

To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.

To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.

Learn more about tennis in: https://brainly.com/question/12025312

#SPJ1

a) Total momentum before collision is: \(\mathrm{\rho = M \times 3v_0 - M \times v_0 = 2M \times v_0}\)

b) Immediately after the collision, two objects move together with a speed of v₀. The direction of motion is to the right, as A was moving to right before collision.

Momentum may be defined as the product of mass and velocity of any object.

(a) Before the collision, total momentum of the system is :

\(\mathrm{\rho = m_A \times v_A + m_B \times v_B}\)

\(\mathrm{m_A = m_B = M, v_A = 3v_0, \ and \ vB = -v_0}\) (since B is moving to the left).

Therefore, total momentum before the collision is:

\(\mathrm{\rho= M \times 3v_0 - M \times v_0 = 2M \times v_0}\)

(b) Immediately after the collision, the two objects move with the same velocity v. Total momentum of the system is: p' = (mA + mB)  ×  v = 2M  ×  v

As total momentum is conserved: p' = p

\(\mathrm{2M \times v = 2M \times v_0}\)

\(\mathrm{v = v_0}\)

Therefore, immediately after the collision, two objects move together with a speed of v₀. The direction of motion is to the right, since A was moving to the right before collision.

To know more about momentum, refer

brainly.com/question/1042017

#SPJ4

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

For more questions on mass

https://brainly.com/question/86444

#SPJ8

Since the initial linear momentum of the system is 0, the linear momentum of the gun-arm system must be equal in magnitude and opposite in direction to the linear momentum of the bullet.

Find the linear momentum of the bullet:

If the gun-arm system recoils with a speed v, the total linear momentum of the gun-arm system is:

Since the linear momentum of the gun-arm system must have the same magnitude as the linear momentum of the bullet, then:

Isolate v and find its value:

Therefore, the recoil speed of the shotgun and arm-shoulder combination is 0.8 meters per second.

The minimum stopping distance of the car is determined as 8 m.

The minimum stopping distance of the car is calculated as follows;

d = (u²)/(2a)

where;

when the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s

2 = (11.11²)/(2a)

a = (11.11²)/(2 x 2)

a = 30.86 m/s²

when the speed becomes 80 km/h, the minimum stopping distance is calculated as;

u = 80 km/h = 22.22 m/s

d = (22.22² )/ (2 x 30.86)

d = 8 m

Learn more about minimum stopping distance here: https://brainly.com/question/13030196

#SPJ1

Answer:

Yes, The original erasers were bread. Until the 1770's humanity's preferred way of erasing graphite marks relied on bread that had been de-crusted, moistened and balled up. The first pencil only came out in 1795.

Explanation:

Answer:

Until the 1770s, humanity's preferred way of erasing errant graphite marks relied on bread that had been de-crusted, moistened and balled up. While these erasers were cheap and plentiful, they had a distinct disadvantage: They were, you know, made of bread.

Answer:

Two ways to determine ones muscular strength is to either lift the heaviest weight possible or by doing one repetition. The advantages these two methods is that it is easy to determine and does not require calculations or estimating.

Explanation:

Answer:

Two ways to determine ones muscular strength is to either lift the heaviest weight possible or by doing one repetition. The advantages these two methods is that it is easy to determine and does not require calculations or estimating.

Explanation:

A. The average speed you can use to pull the safe is 1.02 m/s

B. The time needed to pull the safe up is 17.65 s

First, we shall obtain the force. This is shown below:

F = mg

F = 60 × 9.8

F = 588 N

Finally, we shall obtain the average speed. Details below:

Power = force × average speed

600 = 588 × average speed

Divide both sides by 588

Average speed = 600 / 588

Average speed = 1.02 m/s

The time needed to pull the safe up can be obtained as follow:

Time = Total distance / average speed

Time = 18 / 1.02

Time = 17.65 s

Learn more about average speed:

https://brainly.com/question/31770954

#SPJ1

Complete question:

You know you can provide 600 W

of power to move large objects. You need to move a 60-kg

safe up to a storage loft, 18 m

above the floor.

Part A

With what average speed can you pull the safe straight up?

Part B

What is the time needed to pull the safe up?

Answer:

The fruit, orange, came first. The color was named after the fruit.

From the word "Orange" we know that it was used for the first time to refer to the fruit in the 13th century and it was not until 1542 when it began to be used to name the color.

(This was almost 300 years later)

It is known that oranges are the fruit of the sweet orange tree, which is a tree that belongs to the Citrus genus of the Rutaceae family.

¡Hope this helped!

The vectors can be expressed using unit vectors as follows:

Vector A = 96N i + 96N j + 0N k

Vector B = 76.6N i + 64.3N j + 0N k

Vector C = 64N i + 48N j + 0N k.

In the given diagram, let's consider the vectors as follows:

Vector A with magnitude 120N, Vector B with magnitude 100N, and Vector C with magnitude 80N.

To express these vectors using unit vectors i, j, and k, we need to determine their respective components in the x, y, and z directions.

For Vector A (120N), we have the following information:

Magnitude = 120N

Direction: X-axis (cosine component) with an angle of 37° and Y-axis (sine component) with an angle of 53°.

Using the trigonometric values provided:

cos37° = 0.8 and sin53° = 0.8

Therefore, the components of Vector A are:

Ax = 120N * 0.8 = 96N (in the X-direction)

Ay = 120N * 0.8 = 96N (in the Y-direction)

Az = 0N (no component in the Z-direction)

Thus, Vector A can be written as 96N i + 96N j + 0N k.

Similarly, using the trigonometric values for Vector B and Vector C, we can calculate their components:

For Vector B (100N):

Bx = 100N * cos40° = 100N * 0.766 = 76.6N

By = 100N * sin40° = 100N * 0.643 = 64.3N

Bz = 0N

Vector B can be expressed as 76.6N i + 64.3N j + 0N k.

For Vector C (80N):

Cx = 80N * cos37° = 80N * 0.8 = 64N

Cy = 80N * sin37° = 80N * 0.6 = 48N

Cz = 0N

Vector C can be written as 64N i + 48N j + 0N k.

In summary, the vectors can be expressed using unit vectors as follows:

Vector A = 96N i + 96N j + 0N k

Vector B = 76.6N i + 64.3N j + 0N k

Vector C = 64N i + 48N j + 0N k.

For  more questions on Magnitude , click on:

https://brainly.com/question/30337362

#SPJ8

0.825 moles of CaSO₄ is produced

The given equation of reaction is:

Mass of Ca = 33.0 g

Molar mass of Ca = 40 g/mol

Number of moles of Ca = Mass/Molar Mass

Number of moles of Ca = 33/40

Number of moles of Ca = 0.825 moles

From the equation:

1 mole of ca produced 1 mole of CaSO₄

0.825 moles of Ca will produce 0.825 moles of CaSO₄

Therefore, 0.825 moles of CaSO₄ is produced

Answer: 520 nm; 5.77 × 1014 Hz; 3.82 × 10−19 J

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

For such more questions on speed

https://brainly.com/question/31380575

#SPJ8

Answer:

Explanation:

a) KE = (1/2) * m * (\(v^{2}\)) = F * d = 14m * 200N = 2800 m/N or 2.8 * \(10^{3}\) m/N

b) 0J and 0m/s (if Marcella stopped after going 14 meters)

c)  Known from part (a) that KE = 2800 J = F1 * d1,

    2800J = F1 * (14m - 1m)  => F1 = 2800J/13m = 215.384 N

Answer:

C is correct.

When vectors are to be added the correct order is head to ail.

This is opposed to subtraction where the vectors are connected tail to tail.

(D) shows 2 vectors how would be subtracted and the result would the sum of the lengths of the vectors (since they are shown as being colinear).

A celestial sphere is a tool that allows us to study in detail the characteristics of the planet and its reference points.

The celestial sphere is an astronomical tool that allows individuals to study the planet Earth and other planets. This tool is an ideal sphere that is used as a model of the Earth. Additionally, it represents the locations of celestial objects, meridians, parallels, geographical locations, among others.

The meridians and parallels are imaginary lines that are located on the earth to be located geographically on the surface. These also distribute the terrestrial locations in four quadrants (cardinal points).

The zenith is a term that refers to the highest point in the sky relative to the observer and it is just above the observer's head (90°).

The nadir is a term that refers to the intersection between the observer's vertical and the celestial sphere. That is to say: if you imagine a line that passes through the center of the Earth and through our location on its surface, the nadir is on that line, below our feet.

Below is an image in which the zenith, nadir, cardinal points, meridians and parallels are referenced.

Learn more about Planet Earth in: https://brainly.com/question/24259544

#SPJ1