A bullet of mass 10g and unknown speed is shot horizontally into a block of mass 990g, initially at rest on a horizontal frictionless surface. The bullet embeds itself in the block, and the combined objects slide along the surface until they encounter a horizontal spring of spring constant 400N/m. The block, with the bullet in it, comes to momentarily rest when it has compressed the spring by 10 cm. Find the initial speed of the bullet

The radioactive decay equation is \(Th^{232} - > Ra^{228} + He^{4}\). The activity of 10 g of thorium, calculate the initial activity using the decay constant and the number of nuclei.  the activity after 10 years, use the radioactive decay law with the appropriate values.

a) The radioactive decay equation for thorium-232 (\(Th^{232}\)) can be represented as follows:

\(Th^{232} - > Ra^{228} + He^{4}\)

In this equation, thorium-232 decays into radium-228 and emits an alpha particle (helium-4 nucleus). This decay process occurs spontaneously over time.

b) To find the radioactive radiation activity of 10 g of thorium, we need to use the concept of activity, which represents the rate of decay of radioactive material. The activity (A) is given by the equation:

A = λ * N

Where λ is the decay constant and N is the number of radioactive nuclei present. The decay constant is related to the half-life (T1/2) of the isotope by the equation:

λ = ln(2) / T1/2

For thorium-232, with a half-life of 1.4 * \(10^{10}\) years, the decay constant is approximately λ = ln(2) / (1.4 * \(10^{10}\) years).

To find the number of radioactive nuclei (N) in 10 g of thorium, we can use Avogadro's number and the molar mass of thorium-232. The molar mass of thorium-232 is 232 g/mol, so we have:

N = (10 g) / (232 g/mol) * (6.022 * \(10^{23}\)nuclei/mol)

Now, we can calculate the activity (A) by substituting the values into the equation A = λ * N.

c) To find the activity after 10 years, we need to consider the radioactive decay law, which states that the activity of a radioactive substance decreases exponentially over time. The equation for the remaining activity (A_t) after time t is given by:

A_t = A_0 * e^(-λ * t)

Where A_0 is the initial activity at t = 0.

By substituting the appropriate values into the equation, including the initial activity calculated in part b, we can determine the activity after 10 years.

In summary, to find the radioactive radiation activity of thorium-232, we use the decay equation, the concept of activity, and the radioactive decay law. By applying these principles, we can calculate the initial activity of 10 g of thorium and determine the activity after a specified time, such as 10 years.

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Answer:

radiant to chemical

Explanation:

Truss me

Answer:

2 1/4

Explanation:

Answer:

\({ \rm{ = \frac{1}{2} ( - 1 \frac{3}{4} - ( - 2 \frac{1}{2})) }} \\ \\ = { \rm{ \frac{1}{2} ( \frac{3}{4}) }} \\ \\ = { \rm{ \frac{3}{8} }}\)

The energy stored in the capacitor when connected to the power supply is 0.09375 Joules.

Initially, the capacitor is charged to a voltage of 125.0V by the power supply. The energy stored in the capacitor can be calculated using the formula E = 0.5 * C * V^2, where E represents the energy, C is the capacitance, and V is the voltage across the capacitor.

Given that the capacitance (C) is 12.0uF (microfarads) and the voltage (V) is 125.0V, we can substitute these values into the formula:

E = 0.5 * (12.0e-6F) * (125.0V)^2

Simplifying the equation:

E = 0.5 * 12.0e-6 * 15625.0

E = 0.09375 Joules

So, the energy stored in the capacitor when connected to the power supply is 0.09375 Joules.

When the capacitor is disconnected from the power supply and connected in series with the 0.270mH (millihenries) inductor, the energy stored in the capacitor does not change instantaneously. The energy stored in the capacitor will be gradually transferred to the inductor, resulting in oscillations in the electrical circuit. However, to calculate the energy stored in the capacitor at a specific time 't' after the connection, we would need more information about the behavior of the circuit over time, such as the frequency or the time constant.

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The momentum of the probe Pf  = + 5.1 x \(10^{7 }\) kg m/s.

Find the attachment answer

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Answer:

piglets

Explanation:

more than 3

Answer :pedestrian walker.

Explanation:

The total work done by the father in pulling the sled is 69.3 J.

Mass is a measure of the amount of matter contained in an object. It can be measured using scales, balances or other measuring instruments. Mass is a fundamental property of all matter, and its measurement is the basis for many scientific and engineering calculations. Mass is not the same as weight, which is a measure of the force exerted by gravity on an object. Mass is often expressed in units such as kilograms or grams.


To calculate the amount of work done by the father, we must first calculate the force of friction that acts between the sled runners and the snow. This is equal to the coefficient of kinetic friction, multiplied by the total mass of the sled and the girl, multiplied by the acceleration due to gravity (9.8 m/s2):

Friction force = 0.20 x 35 kg x 9.8 m/s2 = 6.93 N

Next, we must calculate the total work done by the father in pulling the sled. This is equal to the force of friction multiplied by the distance traveled:

Work done = 6.93 N x 10 m = 69.3 J

Therefore, the total work done by the father in pulling the sled is 69.3 J.

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Answer:A

Explanation:

Fiber optic cable is the best medium that can withstand harsh environmental conditions due to its physical properties.  Fiber optic cable is made of glass or plastic fibers that are designed to transmit light signals over long distances at high speeds.

Unlike other types of cable, fiber optic cable is immune to electromagnetic interference and can operate effectively in harsh environments such as extreme temperatures, moisture, and corrosive environments. The cable's protective sheath provides additional protection against physical damage from impact, bending, or compression. Additionally, fiber optic cable is immune to electrical noise, which can disrupt the signal transmission of other cable types. Due to its resilience and reliability, fiber optic cable is the preferred medium for long-distance and high-bandwidth data transmissions in industries such as telecommunications, aerospace, and military applications.

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Answer:

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids. (D).....

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Sound wave is a mechanical wave because it requires material medium for its propagation.

In solid, the particles or atoms are closely packed together, which usually slow down light waves causing a greater speed when they bounce on each other.

Thus, we can conclude the following based on the data;

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

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Answer:

the force is very strong between

Answer:

when waterways are polluted it affects all forms of life in the area - including us

expression:

for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!

hope that helps !

Thus, the weight of the roof 1.422 × 10⁵ Newton.

A force is an effect that can modify the velocity of an item in physics. A force can cause an object with mass to alter its velocity, or accelerate (for example, moving from a condition of rest). An obvious way to define force is as a push or a pull. Being a vector quantity, a force also has magnitude and direction. It is expressed as a newton in the SI system (N). The sign F represents force.

Given that,

Speed of air (V) = 180 km/hour

                         = (180 km ÷ 1 hour) × (1000 m ÷ 1 km) × (1 hour ÷ 3600 sec)

                         = 50 m/sec

Area (A) = 6.4 m × 14.0 m = 89.6 m²

Density of air (ρ) = 1.27 kg/m³

Now, we can say weight must equal to the lift force

Thus, \(F_{air}\) = 1/2 ρV²A

                = 1/2 × 1.27 × (50)² × (89.6)

                = 142240 Newton

                = 1.422 × 10⁵ Newton

Thus, the weight of the roof 1.422 × 10⁵ Newton.

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The complete question is as follows:

A 180-km/h wind blowing over the flat roof of a house causes the roof to lift off the house. If the house is 6.4 m x 14.0 m in size, estimate the weight of the roof. Assume the roof is not nailed down.

The wave speed of a batter hitting a baseball reaches the back of

the stands, 150 meters away, in 0.44 seconds is 341 m/s.

option B.

A Wave speed is the distance the wave travels in a given amount of time, such as the number of meters it travels per second.

Mathematically, the formula for a wave speed is given as;

v = d / t

where;

The wave speed of a batter hitting a baseball reaches the back of

the stands, 150 meters away, in 0.44 seconds is calculated as;

v = ( 150 m ) / ( 0.44 s )

v = 341 m/s

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Answer:

MIRROR

Explanation:

Answer:

reflection of light is the bouncing back of light rats when it falls on a smooth surface or polish surface.

The effort arm of the lever should be 3.4 meter long to have a mechanical advantage of 8.

The force amplified by utilizing a tool, mechanical device, or machine system is known as mechanical advantage.

To achieve the desired output force amplification, the gadget trades off input forces against movement. The law of the lever serves as a paradigm for this.

mechanical advantage of a lever = 8

Hence,

mechanical advantage of a lever = effort arm/load arm

Effort arm  of a lever = Mechanical advantage × load arm

= 8 × 0.4 m

= 3.2 m.

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Current is measured by placing the red plug into the 10 ADC port. So the correct answer is b. 10 ADC

To measure current, you need to Turn off the power to the circuit you want to measure. Set your multimeter to the appropriate current range (e.g., mA or A). Insert the red plug into the 10 ADC port on the multimeter. Insert the black plug into the COM port. Connect the multimeter in series with the circuit, meaning you need to break the circuit and connect the multimeter's probes between the two open points. Turn on the power to the circuit, and read the current value displayed on the multimeter.

The correct answer is b. 10 ADC

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Answer:

Fast rotation

Slow revolution

Explanation:

Solar system has 8 planets. 4 inner rocky planets - Mercury, Venus, Earth and Mars and 4 outer gaseous planets - Jupiter, Saturn, Uranus and Neptune.  The outer planets have few common features.

They are gaseous. There  period of revolution is larger than the inner planets which means that they have slow revolution about the Sun. One day on the outer planets is smaller than the inner planets which means they have fast rotation.

For example, Jupiter has revolves around sun in 11.86 Earth years and rotates about axis in 9.8 Earth hours. Uranus revolves around sun in 84 Earth years and rotates on its axis 17.9 Earth hours.

Answer:

Fast rotation

Slow revolution

Explanation:

did the test

Answer:

The flat Earth model is an archaic conception of Earth's shape as a plane or disk. Many ancient cultures subscribed to a flat Earth and due to this people still belive earth is flat but scientist proven earth is round .

Explanation:

By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.

Euler's method is defined as a numerical technique which is  used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.

In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.

Step 1:

We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].

Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:

Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25

Step 2:

Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:

Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125

Thus,  by using Euler's method with two steps, the approximate value of Y(2) is 2.125.

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The complete question is

Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3

Answer:

6.67

Explanation:

force=mass*gravity(10)

666/10=66.6

777/66.6=11.6666667

round off

Answer: Hello! An objects speed is constant and has the units meters per second (m/s); thus, it does not change overtime. Acceleration is a rate of change where the speed does either increase or decrease overtime from its inital value; its units are meters per second second (m/s/s). I hope that helps!

Answer:

Acceleration of this man: approximately \(0.52\; {\rm m\cdot s^{-1}}\) due east.

Accelerate of this woman: approximately \(0.78\; {\rm m \cdot s^{-1}}\) due west.

Explanation:

The question implies that the net force on the man is \(F = 46\; {\rm N}\) due east. The mass of the man is \(m = 89 \; {\rm kg}\). The acceleration of the man would be:

\(\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{89\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due east})}{} \\ &\approx 0.52\; {\rm m\cdot s^{-2}} && (\text{due east})\end{aligned}\).

In other words, the acceleration of this man would be approximately \(0.52\; {\rm m \cdot s^{-2}}\) due east (same direction as the net force.)

By Newton's Laws of Motion, for every force there is a reaction force that is equal in magnitude but opposite in direction.

The woman in this question is applying a due east \(46\; {\rm N}\) force on the man. Thus, this woman would experience a reaction force of the same magnitude (\(46\; {\rm N}\!\)) and opposite direction (due west) from the man. Under assumptions of the question, the net force on the woman would be \(\! 46\; {\rm N}\) due west.

The acceleration of this \(m = 59\; {\rm kg}\) woman would be:

\(\begin{aligned} a &= \frac{F}{m} \\ &= \frac{46\; {\rm N}}{59\; {\rm kg}} && \genfrac{}{}{0}{}{(\text{due west})}{} \\ &\approx 0.78\; {\rm m\cdot s^{-2}} && (\text{due west})\end{aligned}\).

Answer:

"In Step 1, you will observe the temperature of the solid water will increase until it gets to B. While in B, the temperature will remain constant but the solid water will start melting into liquid water. In step 2, the ice water will completely melt so that in C it is all liquid water. The temperature will increase if the energy increases while it’s in C."

Explanation:

As per the details given, In Step 1, you will observe the temperature of the solid water will increase until it gets to B. While in B, the temperature will remain constant but the solid water will start melting into liquid water. The correct option is C.

The temperature of solid ice rises as a result of thermal energy absorption until it approaches the melting point (B on the graph).

As the ice turns to liquid water at this moment, the temperature stays the same.

Because the energy is being utilised to break the intermolecular bonds holding the solid structure together rather than increasing the kinetic energy (temperature) of the particles, this phase transition doesn't involve a change in temperature.

Once all of the ice has melted and turned into liquid water (point C on the graph), adding more thermal energy will in fact raise the temperature of the liquid water, increasing both temperature and kinetic energy.

Thus, the correct option is C.

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The coefficient of the kinetic friction is the ratio of the friction force experienced to the normal force acting on the body.

When the girl encounters an area where the floor has been waxed, making it slippery, the friction force in that area reduces, which causes a decrease in the coefficient of kinetic friction.

Therefore, option (a); the coefficient of kinetic friction decreases, is the correct choice.

Answer:

The theory of Relativity state that :Special relativity applies to all physical phenomena in the absence of gravity and General relativity explains the law of gravitation and its relation to other forces of nature.

[ You're welcome,my past self!]

Answer:

200 N to the right

Explanation: