determine the magnitude of the velocity of the ball when t = 1.3 s .

Answer:

Car A has a velocity of 40 km/hr  west.

Explanation:

The velocity of an object is a vector quantity. It has both magnitudes as well as direction.

Arrows are used to show direction.

Car A is moving towards west. Car B is moving towards east-south direction. Car C is moving towards South direction. Car E is moving towards North direction.

So, the correct option is (a) i.e. Car A has a velocity of 40 km/hr  west.

Answer:

(b) Centripetal force acts along the radius of circular path

Explanation:

Centripetal force is a force experienced by a body moving in a circular path. It is expressed mathematically ad F = mv²/r

m is the mass of the body

v is the velocity

r is the radius of the circular path

When a body moves in a circular path, work dome is zero because Centripetal force acts along the radius of circular path and the force is at right angle with the motion of body.

Answer: B is the correct answer because if you look, it takes P a longer time to get somewhere while it takes R a shorter time to get somewhere.

Answer:

it is correct

Explanation:

Though no rounded numbers can be defined as accurate, if we were going by people's discovery, and research, we can define that the number, g = 9.8m/s^2, is accurate

The new period of oscillation if the mass of the bob is reduced by half is \(\frac{T}{\sqrt{2}}\) or T/√2.

Look at the attachment for a complete question. The period of oscillation of the simple pendulum

where

If we change the mass of the bob and didn't change the rope, the period also will change but the rope constant will not. The ratio of the period between the two condition

T² = 4π²m/k

T₁²: T₂² = m₁ : m₂

T²: T₂² = m : 0.50 m

T²: T₂² = 1 : 0.5

T₂² = 0.5T²

\(T_2 \:=\: \sqrt{0.5T}\)

\(T_2 \:=\: \sqrt{\frac{T}{2}}\)

T₂ = T/√2

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Answer:

С. a single component that can't be separated

Explanation:

Substance : It is the pure form of matter or we can say that it is a matter that contains only one type of molecule of atom. It can not be separated by physical process.

For example : Water is a substance.

Mixture : It is a combination of different type of atoms or molecules and it is an impure form.

For example : Sodium chloride with water is a mixture.

Hence, the correct option is, (C) a single component that can’t be separated.

A substance is a single component that can't be separated by the physical process therefore the correct answer is option C.

A chemical compound is a mixture of two or more chemical components, whether they are related or unrelated.

For instance, the molecular H2O is composed of one hydrogen atom and two oxygen atoms.

For instance, water is a material that cannot be physically divided yet may be separated using electrolysis.

Mixture: This impure form is made up of several different kinds of atoms or molecules.

A mixture is, for instance, sodium chloride and water.

As a result, (C), a single, irreducible component, is the right answer.

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14 m is the displacement for a trip from the math classroom in Figure 2.4 to the music classroom and then to the library

Displacement= final position-initial position

Displacement=14m-0

Displacement=14m

distance= total route= 14m

Distance is all covered distance but displacement is shortest distance. Being a vector quantity, displacement has both a magnitude and a direction. The vector (or straight line) distance between an initial and final position is what is meant by this term. Knowing these two places is consequently all that is necessary to determine the resultant displacement.

Calculate the inverse tangent of the ratio of the displacement components in the y- and x-directions to determine the direction of the displacement vector.

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Answer:

57,6N

Explanation:

To find the component  of a force on the x-axis we can simply do:

F * cos(36) = 72N * 0.8 = 57,6N

Answer:

B. Conductivity.

Explanation:

Conductivity is the quantity of heat passing per second through a slab of unit cross-sectional area when the temperature gradient between the two faces is unity when put in heat.

 The charge Q is uniformly distributed throughout the sphere. The correct answer is (B)

When a solid conducting sphere is given a positive charge Q, the charge will distribute itself evenly throughout the surface of the sphere due to the repulsion of like charges. This is known as the "Faraday's ice pail experiment".

According to the principle of electrostatics, the charge on a conductor always resides on its surface and distributes itself in a way that the electric field inside the conductor is zero. Since the charge on a conductor always resides on its surface, it follows that the charge Q in this case must be uniformly distributed throughout the surface of the sphere.

Option (A) is not true because the charge is not concentrated at the center of the sphere. If the charge was concentrated at the center of the sphere, the electric field would not be zero inside the conductor, which contradicts the principle of electrostatics.

Option (C) and (D) are not true because the density of the charge does not change radially outward from the center. If the density decreased or increased radially outward, the electric field inside the conductor would not be zero, which again contradicts the principle of electrostatics.

Option (E) is not true because the charge is distributed throughout the entire volume of the sphere, not just on its surface. A solid conductor has free charges that can move throughout its entire volume, so the charge will distribute itself throughout the entire volume of the sphere until the electric field inside the conductor is zero.

Therefore, the correct answer is (B) it is uniformly distributed throughout the sphere.

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Answer:

A. Pu -239

Explanation:

An isotope is an element with the same atomic number but different mass number. most isotope are unstable, having short half life.

Curium-242 is an isotope produced when Plutonium 239 is bombarded by an alpha particle. This reaction between Plutonium 239 and alpha particle gives curium-242, neutron and a high amount of energy as the products.

Curium oxidizes easily, and it is a dangerous metal which can cause cancer initiation when absorbed by biological materials e.g bones or tissue.

Answer:

h = 0.25 [m]v = 3.26 [m/s]

Explanation: In order to solve this problem, we must remember that mechanical energy is defined as the sum of kinetic energy plus potential energy.

The highest height attained is 2gu.

The vertical velocity is 0 at its highest point. Once more increasing in magnitude as the item descends back toward Earth, the vertical velocity now faces away from the initial vertical velocity.

0 m/s. Any projectile at its highest point has an instantaneous speed of zero. The time to reach maximum height is equal to the time to arrive at the destination since gravity accelerates the ball by the same amount whether it is moving up or down.

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Answer:

C. Kinetic energy changed to potential energy.

Explanation:

The kinetic energy is converted to potential energy when he reaches the top of the hill.

As with every system, energy is neither created nor destroyed but transformed from one form to another.

This is from the law of conservation of energy.

Kinetic energy is produced when Harry moves the up the hill. As he reaches the top of the hill and comes to rest, potential energy is formed.

Potential energy is the energy due to the position of a body.

Power sources that are connected in parallel should have the same voltage output. This statement is true.

What does it mean when we say two power sources are connected in parallel?  Power sources are connected in parallel to increase the current output. This means that the positive terminals of the power sources are connected to the other positive terminals, and the negative terminals of the power sources are connected to the other negative terminals. This results in the voltage output remaining the same, but the current output increasing. This is useful when more current is required for a particular application. To summarize, when power sources are connected in parallel, the voltage output should remain the same, and the current output should increase.

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The present value of an ordinary annuity $3000  per semiannual period for 6 years at 11% interest rate is  $25,855.55

The present value of an ordinary annuity is given by:

P = PMT x [1 - (1 + r)⁻ⁿ] / r

Where:

P = present value

PMT = amount of annuity payment per period

r = interest rate per period

n = number of periods

Since it is semiannually compounded, the number of periods per year = 2. Therefore,

r = 11%/2 = 0.055

n = 2 x 6 years = 12

PMT = 3000

Hence,

P = 3000 x [1 - (1 + 0.055)⁻¹²] / 0.055

P =  25,855.55

Hence, the present value is  $25,855.55

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The Ptolemaic model was a geocentric model of the Solar System developed by the ancient Greek astronomer, mathematician, and geographer Claudius Ptolemy.

According to this model, the Earth was at the center of the universe, and all the other celestial bodies revolved around it. Each planet in the Ptolemaic model was believed to move along a circular path called an "epicycle," which was centered on a point called the "deferent." The deferent, in turn, moved along a circular path around the Earth, called the "eccentric." The epicycle's center moved along the deferent at a constant rate, which gave the appearance of retrograde motion of the planet relative to the Earth. The Ptolemaic model was a complex and intricate system that required numerous epicycles, deferents, and eccentrics to explain the observed motions of the planets. While it was able to account for some of the observed planetary motions with reasonable accuracy, it had limitations and inaccuracies that became apparent as observations became more precise over time.

Here,

Eventually, the Ptolemaic model was replaced by the heliocentric model developed by Nicolaus Copernicus, which placed the Sun at the center of the Solar System and explained the observed motions of the planets more accurately.

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Answer:

D

Explanation:

As the wavelength of a wave gets shorter, its frequency increases, while its energy increases. This relationship is described by the equation E = hf, where E is the energy, h is Planck's constant and f is the frequency of the wave.

Water droplets that act as prism are phenomenon known as : b) rainbow.

When light enters water droplet and is refracted, it is dispersed into its component colors due to difference in the index of refraction of each color of light. This results in band of colors in the shape of arc with red on outer edge and violet on inner edge, with other colors of spectrum in between. This is the same effect as prism which disperses light in the same way.

Rainbows appear in seven colors because water droplets break sunlight into seven colors of spectrum and you get the same result when sunlight passes through prism. Water droplets in the atmosphere act as prism though traces of light are very complex.

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Answer:

15.24 m/s in the downward direction

Explanation:

Given that the initial upward velocity of the ball is 24 m/s.

Assuming that the upward direction is positive.

As gravitational force acts in the downward direction and the direction of acceleration is the same as the direction of force, so the acceleration due to gravity will be negative.

Now, from the equation of motion, when an object is launched with initial velocity u, the final velocity, v, of an object after time t is v=u+at.

Given that u=24 m/s, t=4 seconds, \(g=-9.81 m/s^2\).

So, the final velocity is

\(v= 24 + (-9.81)\times 4 \\\\\Rightarrow v= 24-9.81\times 4\)

\(\Rightarrow v=-15.24\) m/s

Here, the negative sign means the final velocity is in the downward direction.

Hence, the velocity after 4 seconds is 15.24 m/s in the downward direction.

a) The velocity function can be found by taking the derivative of the position function with respect to time:

v(t) = ds(t)/dt = -40 * 80^(-t/10) - 40

The acceleration function can be found by taking the derivative of the velocity function:

a(t) = dv(t)/dt = -40 * (-t/10) * 80^(-t/10 - 1) = 4t * 80^(-t/10 - 1)

b) To find the initial position, we evaluate the position function at t = 0:

s(0) = 80^(-0/10) - 40(0) = 1 - 0 = 1 meter

To find the initial velocity, we evaluate the velocity function at t = 0:

v(0) = -40 * 80^(-0/10) - 40 = -40 - 40 = -80 m/s

To find the initial acceleration, we evaluate the acceleration function at t = 0:

a(0) = 4(0) * 80^(-0/10 - 1) = 0 * 80^(-1) = 0 m/s²

c) To find the exact time when the velocity is -44 m/s, we set v(t) = -44 and solve for t:

-40 * 80^(-t/10) - 40 = -44

80^(-t/10) = (40 - 44)/40 = -1/10

Taking the natural logarithm of both sides:

ln(80^(-t/10)) = ln(-1/10)

(-t/10) * ln(80) = ln(-1) - ln(10)

As the natural logarithm of a negative number is undefined, we conclude that there is no exact time when the velocity is -44 m/s.

In conclusion,

a) The velocity function is v(t) = -40 * 80^(-t/10) - 40 m/s.

  The acceleration function is a(t) = 4t * 80^(-t/10 - 1) m/s².

b) The initial position is 1 meter.

  The initial velocity is -80 m/s.

  The initial acceleration is 0 m/s².

c) There is no exact time when the velocity is -44 m/s.

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Answer:

On Bode's advice, Herschel named his newly discovered planet after: the Greek god Uranus.

Explanation:

Herschel named his newly discovered planet Uranus on Bode's advice for a couple of reasons:

Mythological Naming Convention: During that time, it was a common practice to name celestial objects after mythological figures, particularly gods from Greek and Roman mythology. Bode suggested following this convention and recommended that Herschel choose a name from Greek mythology for the newly discovered planet.

Connection to the Sky: Uranus was chosen as the name for the planet because it was the name of the Greek god of the sky. Given that Herschel had discovered a celestial object in the sky, naming it after the god associated with the sky seemed fitting.

By naming the planet Uranus, Herschel paid homage to the mythological tradition of naming celestial bodies while also establishing a connection between his discovery and the vastness of the sky.

Hope this helps!

The formula for calculating capacitance is as follows:

C = Q/V

Where,

C = capacitance (Farads)

Q = charge (Coulombs)

V = voltage (Volts)

As given,

Q = 27.0 μC

V = 9.00 V

Substituting the given values in the above equation

C = 27.0 μC/9.00 V = 3.00 μF

Therefore, the value of capacitance is 3.00 μF.

The formula for calculating charge stored is as follows:

Q = CV

Where,

Q = charge (Coulombs)

C = capacitance (Farads)

V = voltage (Volts)

As given,

C = 3.00 μF

V = 12.0 V

Substituting the given values in the above equation,

Q = (3.00 × 10⁻⁶ F) × 12.0 V = 36.0 μC

Therefore, the charge stored is 36.0 μC.

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After the internal explosion, the two chunks of mass 7.5 kg each will move in opposite directions along the positive x-axis. One chunk will have a speed of 6.4 m/s, while the other chunk will have a speed of 0.4 m/s.

1. Initially, a body of mass 15.0 kg is traveling at 2.4 m/s along the positive x-axis. The total initial momentum of the system is given by the product of mass and velocity, which is (15.0 kg)(2.4 m/s) = 36 kg·m/s.

2. An internal explosion occurs, splitting the body into two chunks of equal mass, 7.5 kg each. Due to the conservation of momentum, the total final momentum of the system remains the same as the initial momentum.

3. Let the velocity of one chunk after the explosion be v₁ m/s and the velocity of the other chunk be v₂ m/s.

4. The final momentum of the system is given by (7.5 kg)(v₁ m/s) + (7.5 kg)(v₂ m/s).

5. Since the total final momentum must be equal to the initial momentum, we have (7.5 kg)(v₁ m/s) + (7.5 kg)(v₂ m/s) = 36 kg·m/s.

6. The explosion gives the chunks an additional 16 J of kinetic energy. Each chunk receives an equal amount of kinetic energy, so we have (1/2)(7.5 kg)(v₁²) + (1/2)(7.5 kg)(v₂²) = 16 J.

7. Solving the system of equations from steps 5 and 6, we find v₁ = 6.4 m/s and v₂ = 0.4 m/s.

Therefore, after the explosion, one chunk will move with a speed of 6.4 m/s in the positive x-direction, while the other chunk will move with a speed of 0.4 m/s in the positive x-direction.

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Answer:

Because the mechanical advantage of the machine is affected by friction and weight but velocity ratio is not. So, mechanical advantage is less than velocity rate. Thus, the machine's efficiency is less than 100% and can't be a perfect machine

Answer: B. Ax = 6, Ay=8

Explanation:

Answer:

Answer:

No. When the distance is doubled, the gravitational force is 1/4 times as strong, therefore, the correct answer is she is not correct

Explanation:

The gravitational force is given as follows;

\(F} =G \times \dfrac{m_{1} \times m_{2}}{r^{2}}\)

Where;

m₁, and m₂ are the masses sharing the gravitational field

G = The universal gravitational constant

r = The distance between the centers of the two masses

Therefore, when the new distance, R = 2 × r, we get;

\(F} =G \times \dfrac{m_{1} \times m_{2}}{R^{2}} = G \times \dfrac{m_{1} \times m_{2}}{(2 \times r)^{2}} = G \times \dfrac{m_{1} \times m_{2}}{4 \times r^{2}} = \dfrac{1}{4} \times G \times \dfrac{m_{1} \times m_{2}}{r^{2}}\)

Therefore, when the distance is doubled, the gravitational force is one fourth as strong, therefore, she is not correct.