branches of sicence​

The statement that cobalt-60 has a half-life of 5.27 years means that it takes approximately 5.27 years for half of the initial quantity of cobalt-60 to decay.

Cobalt-60 is a radioactive isotope of cobalt, meaning it undergoes radioactive decay over time. During this process, the unstable atomic nucleus of cobalt-60 spontaneously emits radiation and transforms into a different element.

The half-life is the time it takes for half of the radioactive material to decay.

In the case of cobalt-60, if you start with a certain amount of cobalt-60, after 5.27 years, approximately half of it will have decayed into another element, while the remaining half will still be cobalt-60. After another 5.27 years, half of the remaining cobalt-60 will decay, and the process continues.

More on half-life can be found here: https://brainly.com/question/31666695

#SPJ1

The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.

Since the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.

The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.

According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.

More on electrostatic attraction can be found here: https://brainly.com/question/14889552

#SPJ1

The final velocity of the cars if they stick together is 1.36 m/s.

The final velocity of the cars if they  stick together is calculated by applying the principle of conservation of linear momentum as follows;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

where;

1200(15 cos60) - 1000(6 x cos0) = v (1200 + 1000)

3000 = 2200v

v = 3000/2200

v = 1.36 m/s East of south.

Thus, The final velocity of the cars if they  stick together is 1.36 m/s.

Learn more about linear momentum here: https://brainly.com/question/7538238

#SPJ1

Answer:

30.2g

Explanation:

Intial volume of water= 25.8ml

Final volume of water= 35.9ml

The mass of a substance when given the density and volume can be found by using the formula.

Volume = final volume of water - initial volume of water

Volume = 35.9 ml - 25.8 ml = 10.1 ml

Mass = Density × volume

(m= ρ⋅V)

Mass = 2.99 g/ml × 10.1ml = 30.199 g

Answer= 30.199g= 30.2g

Answer:

The joule (symbol: J) is the basic SI unit of energy. A joule is equal to the kinetic energy of a kilogram mass moving at the speed of one meter per second (one joule is a kg⋅m2⋅s−2). ... Because it is named for a person, the first letter of the symbol is uppercase (J instead of j)

Explanation:

Answer:

given us,

mass= 4×9.8gm m(9.8) formula

= 39.2

final velocity (v)= 60m/s

initial velocity (u)= 20m/s

time(t)= 10s

acleration(a)=?

now,

accleration(a)= v-u/t=60- 20/10

=40/10

=4m/s

:. the acceleration is 4 m/s

Explanation:

first we have to calculate mass and we can use acceleration formula

The moments of inertia are ranked as follows, from smallest to largest is     I₁ < I₂ < I₃.

Moment of inertia is a physical quantity that measures an object's resistance to rotational motion. It is defined as the sum of the products of the mass of each particle in a system and the square of its perpendicular distance from the axis of rotation.

The formula for moment of inertia is:

I = Σmr²

where I is the moment of inertia, m is the mass of each particle in the system, r is the perpendicular distance of each particle from the axis of rotation, and the symbol Σ indicates a summation over all particles in the system.

Moment of inertia plays a crucial role in rotational motion, just as mass plays a crucial role in linear motion. It determines how much torque is required to produce a certain amount of rotational acceleration, and how quickly an object will respond to an applied torque.

The moment of inertia of an object depends on its shape and the distribution of mass within that shape. Objects with more mass distributed farther from the axis of rotation will have a higher moment of inertia and will be more resistant to rotational motion.

Moment of inertia is an important concept in many areas of physics and engineering, such as the design of rotating machinery, the motion of planets and other celestial bodies, and the behavior of molecules in quantum mechanics.

Here in the question,

To rank the moments of inertia I₁, I₂, and I₃ about axes through the centers of the rods, we need to use the parallel axis theorem, which states that the moment of inertia about an axis parallel to an axis passing through the center of mass of the object is equal to the moment of inertia about the center of mass plus the product of the mass and the square of the distance between the two axes.

Let's denote the distances between the centers of mass and the rods as r₁, r₂, and r₃, respectively.

Then we have:

I₁ = I₁_cm + m(r₁ + R/2)^2

I₂ = I₂_cm + m(r₂ + 2R)^2

I₃ = I₃_cm + m(r₃ + R/2)^2

To rank the moments of inertia, we need to compare the values of (r + R/2)^2, (r + 2R)^2, and (r + R/2)^2 + R²/4 for each of the pairs of balls. We can see that the last term is the same for all pairs of balls, so we only need to compare the first two terms for each pair.

For pair 1, we have:

(r₁ + R/2)^2 < (r₂ + 2R)^2

since r₁ < r₂.

For pair 2, we have:

(r₂ + 2R)^2 < (r₃ + R/2)^2 + R²/4

since r₂ < r₃.

Therefore, the moments of inertia are ranked from smallest to greatest is I₁ < I₂ < I₃.


To learn about the Center of gravity  click:

https://brainly.com/question/20662235

#SPJ2

Answer:

If the person is to remain the floor the reaction force will be equal to the normal force exerted by the floor.

F(normal) - F(reaction) = 0

That means the person is not moving with respect to the elevator.

Expanding the applied forces we have:

Fw - Fn = 720 - 710 = 10 N   where the positive direction is chosen as down

Fw is the weight of the person and Fn the force exerted on the person by the elevator,

The acceleration of the person the becomes F = m a = m * 10 N and will be downward agreeing with our choice of coordinate axes.

False.

Tripling the height will triple the potential energy.

Speed has nothing to do with potential energy.

1 mole of nitrogen atoms moving at 35.0 m/s possesses approximately 27.8 joules of energy.

To calculate the energy possessed by 1 mole of nitrogen atoms moving at 35.0 m/s, we need to consider both the kinetic energy and the molecular mass of nitrogen.

The kinetic energy (KE) of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.

The molar mass of nitrogen (N₂) is approximately 28.0134 g/mol, which can be converted to kilograms by dividing by Avogadro's number (6.022 × 10^23). This gives us a mass of approximately 4.65 × 10^(-26) kg for one nitrogen atom.

Plugging in the values, we have KE = 1/2 * (4.65 × 10^(-26) kg) * (35.0 m/s)^2.

Evaluating the equation, we find that the kinetic energy possessed by one nitrogen atom is approximately 4.62 × 10^(-23) joules.

Since we are considering 1 mole of nitrogen atoms, we need to multiply this value by Avogadro's number to get the energy possessed by 1 mole. Avogadro's number is 6.022 × 10^23, so the total energy is approximately 2.78 × 10^1 joules, or 27.8 J.

For such more questions on energy

https://brainly.com/question/1634438

#SPJ8

Combined energy of the two sleds will be conserved when they collides.

Energy is nothing but the ability to do work. there are different energies in different form which are thermal energy, mechanical energy, electric energy and sound energy etc.

According to first law of thermodynamic, Energy neither be created nor be destroyed. it can only be transferred from one form into another form. Energy is expressed in joule (J). its dimensions are [M¹ L² T⁻²].

Energy is conserved throughout the motion,

according to conservation law of energy, initial energy is equal to final energy.

When two sleds coming in opposite direction, it is having mass as well as velocity. hence it has kinetic energy, when they get collide with each other some of total energy gets converted into sound energy as collision cause sound(boom). some of the energy will use to break the material which made the sled and remaining energy will convert in kinetic energy of broken sleds it can be moved in opposite direction or in same direction depending initial energies.

in this collision combined kinetic energy can be converted into sound energy, mechanical energy and again kinetic energy but totally energy is conserved.

Hence combined energy will be conserved.

To know more about energy :

https://brainly.com/question/1932868

#SPJ3.

Answer:

10 revolutions

Explanation:

By using the equation Δ=Δ, we get that Δ=(4.00rad/s)(15.0s)=60.0rad. Since there are 2 radians per revolution, this angular displacement corresponds to (60.0rad)/(2rad/rev)=9.55rev.

The angular velocity of the wheel is 4 rad/s and the time interval is 15 s. Then the number of rotations in radians is 60 radians. This is equal to 9.5 revolutions.

Angular velocity is a physical quantity that describes the speed of an object in an angular path. It is the rotational o revolutional analogue of of the linear velocity.

The angular velocity of an object is the product of the linear velocity and the radius of the angular path.

Given that, the angular velocity of the wheel = 4 rad/s

time  = 15 s

then, number of radians = 4 rad/s × 15 s = 60 radians.

1 revolution  = 2π radians.

then 60 radians = 60/2π = 9.5 revolutions.

Therefore, the number of revolutions for the wheel in 15 s is 9.5 revolutions.

Find more on angular velocity ?

https://brainly.com/question/12446100

#SPJ1

Measure the angle of the sun at the same time, on the same day every month for twelve months.

A slanted axis is around which the Earth is revolving. Or, to say it another way, our earth is perpetually leaned over and never stands erect.

Over the course of a year, this lean does not drastically alter in direction, but over thousands of years, it does so gradually.

The Earth leans periodically towards the sun and sometimes away from it as it moves through space in its orbit.

Because of the sun's bigger and more direct angular position over us during the summer, there is a greater amount of direct solar radiation, which warms the air. We receive less direct solar energy during the winter because of the sun's reduced angle and smaller surface area, making it colder.

To learn more about angular position of sun, click:

https://brainly.com/question/1808587

#SPJ1

The variables that Madison will deal with in her experiment are as follows:

An experiment is a test under controlled conditions made to either demonstrate a known truth or examine the validity of a hypothesis.

According to this question, Madison wants to conduct an experiment to validate her hypothesis that states: increased concentrations of salt in the air speeds the corrosion of certain metals.

To do this, Madison will deal with the following variables;

Learn more about experiment at: https://brainly.com/question/11256472

#SPJ1

The rate of change in velocity is known as acceleration.She thereby accelerated 0.027 m/s2 throughout her strong effort.

The rate of change in velocity is known as acceleration.Acceleration typically signals a change in speed, though this is not always the case.

Because of the shifting direction of its velocity, an item moving on a circular path at a constant speed is still accelerating. The change in velocity divided by the time interval during which that change happened is the definition of acceleration (in its simplest form).

The formula is: a= v2 - v1 /t

Where:

Initial velocity is v1.

v2: final speed

t: the amount of time required for that acceleration

introducing the specified values into the equation

a=0.027 m/s2

where

a = 3.5 m/s - 31 m/s /15 m/s

She thereby accelerated 0.027 m/s2 throughout her strong effort.

To learn more about acceleration refer

https://brainly.com/question/605631

#SPJ1

Answer:

in decimal form x = 1.5

in exact form x = 3/2

and as a mixed number x = 1  1/2

Explanation:

The electrical force between the two balloons having charges of 2.2×10⁻⁶ C and 1.8×10⁻⁷ C and held 0.65 meters apart is 8.44×10⁻³ N

From Coulomb's law, we understood that the electrical force between two points charges is given by the following equation:

F = Kq₁q₂ / r²

Where

With the above equation, we can easily determine the electrical force between two balloons. Details below

We can obtain the force as follow:

F = Kq₁q₂ / d²

F = (9×10⁹ × 2.2×10⁻⁶ × 1.8×10⁻⁷) / (0.65)²

F = 8.44×10⁻³ N

Thus, the electrical force between them is 8.44×10⁻³ N

Learn more about force:

https://brainly.com/question/28569085

#SPJ1

Answer:

Magnetic fields point from the north pole to the south pole of a magnet.

An example of the Biot-Savart law is the effect of the earth's maghytic field on the electron rays coming from the sun.

The north pole of a magnet will be attracted to the south pole of the earth.

If a bar magnet is cut in half two magnets with like poles will be created

Explanation:

The magnetic field of Earth is due to the presence of iron in the core of the Earth.  

The metal emits the magnetic waves from it and the North and South pole of the planet.

Both the poles emit the magnetic rays which create magnetic sheet around it. The Earth acts like a magnet bar if which is cut into two half, the planet will act like two magnets. Also, Biot Savarts's law states that the magnetic field does not affect the electron rays coming from the Sun.

Thus, the selected options are correct.

Answer:

ACDE

Explanation:

In the figure below, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

Periodic or oscillatory motion is defined as a motion that repeats itself. Due to a restoring force or torque, an object in such motion oscillates around an equilibrium position.

Energy is conserved in oscillation.

So, the maximum loss in Potential Energy = Maximum gain in Kinetic energy

5 J - 1 J = Maximum gain in Kinetic energy

Maximum gain in Kinetic energy = 4 J

\(0.5 \times m \times vmax^2 = 4\\0.5 \times 2.0 \times 10^-3\; Kg \times vmax^2 = 4 J\\vmax^2 = 4 \times 10^3 m^2/s^2\\vmax = 63.2 m/s\)

Therefore, the maximum speed of a 2.0 g particle that oscillates between x = 2.0 mm and x = 8.0 mm is 63 m/s.

To learn more about oscillation, refer to the link:

https://brainly.com/question/27542934

#SPJ1

The models provide important tools for understanding the strong force interactions within a proton.

The strong force interactions between quarks and gluons within a proton are described by Quantum Chromodynamics (QCD), which is a fundamental theory of the strong nuclear force in particle physics. QCD is a non-Abelian gauge theory, meaning that the interactions between the quarks and gluons are highly nonlinear and non-perturbative.

One of the most promising theoretical models for describing the strong force interactions within a proton is lattice QCD, which is a numerical approach that uses a discrete grid to represent the space-time continuum. Lattice QCD allows for the calculation of QCD observables from first principles, without resorting to perturbative expansions. This method can handle non-perturbative effects such as confinement and chiral symmetry breaking by allowing for the simulation of the strong interactions on a discrete space-time grid

Another promising model is effective field theory, which provides a way to describe the low-energy behavior of QCD by constructing an effective Lagrangian that contains only the degrees of freedom relevant to a particular energy scale. This allows for the calculation of QCD observables in a systematic expansion in powers of a small parameter, such as the ratio of the quark mass to the QCD energy scale.

Chiral perturbation theory is another effective field theory that focuses on the dynamics of light quarks, which are the building blocks of pions, the lightest hadrons. Chiral perturbation theory provides a systematic expansion for the interactions between pions and nucleons, and can be used to calculate the properties of these particles at low energies.

To know more about Quantum chromodynamics, click here

https://brainly.com/question/16977590

#SPJ1

Explanation:

The box is accelerating along the y-axis at a rate of \(+2.5\:\text{m/s}^2\) as well as along the x-axis at a rate of \(+5.1\:\text{m/s}^2.\) So the magnitude of the box's total acceleration is given by

\(a_T = \sqrt{a_x^2 + a_y^2}\)

\(\:\:\:\:= \sqrt{(5.1\:\text{m/s}^2)^2 + (2.5\:\text{m/s}^2)^2}\)

\(\:\:\:\:=5.7\:\text{m/s}^2\)

The direction of the acceleration \(\theta\) with respect to the horizontal direction is given by

\(\theta = \tan^{-1}\!\left(\dfrac{a_y}{a_x}\right) = \tan^{-1}\!\left(\dfrac{2.5\:\text{m/s}^2}{5.1\:\text{m/s}^2}\right)\)

\(\:\:\:\:= 26.1°\)

Answer:

it won't move unless it has momentum

Explanation:

Answer:

K.E = 6.4 × 10⁻¹⁶

Velocity = 4.39 × 10⁴ m/sec

Explanation:

From the given information:

The average K.E = P.E (potential energy)

Thus, K.E = q × V

K.E = 1.6 × 10⁻¹⁹ × 4000 V

K.E = 6.4 × 10⁻¹⁶

However,

\(K.E = \dfrac{1}{2}mv^2\)

\(6.4 \times 10^{-16} = \dfrac{1}{2}(400 \times 1.66 \times 10^{-27} ) \times v^2\)

\(\dfrac{6.4 \times 10^{-16} }{\dfrac{1}{2}(400 \times 1.66 \times 10^{-27} )}= v^2\)

\(v^2=1.92771084 \times 10^9\\ \\ v=\sqrt{ 1.92771084 \times 10^9} \\ \\ v = 43905.7 \\ \\ \mathbf{v = 4.39 \times 10^4 \ m/sec}\)

Answer:

The correct answer is - B. Increase the time it takes to stop the egg once it hits his hand.

Explanation:

In order to catch the egg the force and time makes an impulse to the egg to change its momentum and bring it to rest. In order to change the momentum, one needs to decrease the force exerted onto the egg and increase the time it takes to make it rest.

Less force can be given to the egg by increasing the time to bring it to rest stop the egg once it hits his hand. Other than this it should be caught to the sides.

TRUE: The total change in momentum for this interaction is zero.

FALSE: The change in the space bug's momentum is greater than the change in the spaceship's momentum.

UNDETERMINED: If the space bug had stuck to the spaceship instead of bouncing off, momentum would not have been conserved for this interaction.

The sled's speed can be calculated by considering the acceleration, frictional force, and time. After substituting the given values and performing the calculations, the final speed is determined to be 12.25 m/s.

To calculate the speed of the sled after 2.50 seconds, we can use the equations of motion and consider the forces acting on the sled.

Let's denote the initial speed of the sled as v0, the final speed as vf, the acceleration as a, the time as t, and the coefficient of friction as μ.

Initially, the rocket sled is accelerating, so we can use the equation:

vf = v0 + at

Since the sled is skidding along its rails after the rocket engine stops, the only horizontal force acting on the sled is the force of friction. The frictional force can be calculated using the equation:

frictional force = coefficient of friction * normal force

Since the sled is moving horizontally, the normal force is equal to the weight of the sled, which can be calculated as:

weight = mass * gravity

Now, we can determine the acceleration of the sled using Newton's second law:

frictional force = mass * acceleration

Combining the equations and substituting the values, we have:

vf = v0 + (frictional force / mass) * t

To find the frictional force, we need to calculate the weight of the sled and then multiply it by the coefficient of friction:

frictional force = (mass * gravity) * coefficient of friction

Substituting this back into the previous equation, we get:

vf = v0 + ((mass * gravity * coefficient of friction) / mass) * t

Simplifying further, we have:

vf = v0 + (gravity * coefficient of friction) * t

Now we can substitute the given values into the equation. Assuming the acceleration due to gravity is approximately 9.8 m/s², the coefficient of friction is 0.5, the initial speed is 0 m/s (since the sled starts from rest), and the time is 2.50 s, we can calculate the final speed:

vf = 0 + (9.8 * 0.5) * 2.50

vf = 12.25 m/s

Therefore, the sled is moving at a speed of 12.25 m/s after 2.50 seconds.

For more such information on: speed

https://brainly.com/question/13943409

#SPJ8

The relationship between the temperature of an object and the frequency of electromagnetic waves generated by the object is described by the concept of blackbody radiation.

A blackbody is an idealized object that perfectly absorbs all electromagnetic radiation that falls on it and emits radiation in a continuous spectrum over a range of frequencies.

According to Planck's law, the spectral distribution of blackbody radiation depends on the temperature of the object. As the temperature of the object increases, the peak of the spectral distribution shifts towards higher frequencies.

This relationship is known as Wien's displacement law, which states that the wavelength at which the spectral radiance of a blackbody is maximum is inversely proportional to the temperature of the object.

Find out more on blackbody radiation here: https://brainly.com/question/14202586

#SPJ1

Answer: Omitting g for weigh because problem omits g

Taking torque about left sawhorse

Mr * 6 = 3 * 10.5 + 4.45 * 1.8 = 31.5 + 8.0 = 39.5

Mr = 39.5 / 6 = 6.60       mass exerted upward by right sawhorse

6.6 + Ml = 10.5 + 4.45      balancing upward and downward mass

Ml = 8.4 kg        upward force (kg) exerted by left sawhorse

Check: take torque about right end

8.4 *  6 = 3 * 10.5 + 4.45 * 4.2

50.4 = 31.5 + 18.7  = 50.2       balances within rounding error

The upward force that the left sawhorse exerts on the board is 164 N.

Torque is defined as the rotational analogue of force. It is the cross product of force and the perpendicular distance.

Here,

Mass of the board, m₁ = 10.5 kg

Length of the board, L = 6 m

Torque of the board, τ₁ = m₁g x r₁

    τ₁ = 10.5 x 9.8 x (6/2)

    τ₁ = 308.7 Nm

Mass of the saw, m₂ = 4.45 kg

Length of the saw, r₂ = 6 - 1.8 = 4.2 m

Torque of the saw, τ₂ = m₂g x r₂

    τ₂ = 4.45 x 9.8 x 4.2

    τ₂ = 183.2 Nm

So,

Torque on the left saw = Torque on the board + torque on the saw

τ' = 308.7 + 183.2

τ' = 491.9

Therefore force exerted by the left saw, F = τ'/(L/2) = 491.9/3

  F = 164 N

Hence,

The upward force that the left sawhorse exerts on the board is 164 N.

To learn more about torque, click:

https://brainly.com/question/16049994

#SPJ2