32) A thrill-seeking cat with mass 4.00 kg is attached by aharnass to an ideal spring of negligible mass and oscillatesvertically in SHM (simple harmonic motion). The amplitude is 0.050m, and at the highest point of the motion the spring has itsnatural unstretched length. Calculate the elastic potential energyof the spring (take it to be zero for the unstretched string), thekinetic energy of the cat, the gravitational potential energy ofthe system relative to the lowest point of the motion, and the sumof these three energies when the cat is:
a) at its highest point
b) at its lowest point
c) at its equilibrium position.
The answer in the back of the book is given as:
(a) 0, 0, 3.9 J, 3.9J
(b) 3.9 J, 0, 0, 3.9 J
(c) 0.98 J, 0.98 J, 2.0 J, 3.9 J

Answer:

C

Explanation:

Option C - Its displacement in a given period of time is the correct alternative.

We have the velocity of an object.

We have to find out what other quantity is needed to determine the velocity.

Velocity is defines as the rate of change of displacement with time. Mathematically -

v = Δx/Δt

According to the question -

As discussed above, velocity is the ratio of displacement and time taken to cover that displacement. Velocity is the measure of how fast a specific object is moving. Lesser the time taken to cover the distance, faster is the object as -

F \(\alpha\) 1 / t

Acceleration, weight and mass of the object has nothing to correlate with the velocity of object at any specific location since mass and weight will remain constant throughout.  Therefore it is displacement in given period of time that is required.

Hence, Option C is the correct alternative.

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The weight of an object is given by the formula W = mg, where W is the weight, m is the mass of the object, and g is the acceleration due to gravity. In this case, the weight on Earth is 741 N and the acceleration due to gravity on Earth is 9.80 m/s^2. The acceleration due to gravity on the other planet is approximately 70.43 m/s^2.

By rearranging the formula, we can solve for the mass of the object on Earth: m = W/g = 741 N / 9.80 m/s^2 = 75.51 kg.
Now, let's consider the weight of the object on the surface of the other planet. We know the weight is 5320 N, but we don't know the acceleration due to gravity on that planet. Let's call it g2.

Using the same formula as before, we can solve for the mass of the object on the other planet: m = W2 / g2 = 75.51 kg.
We can then rearrange the formula to solve for g2: g2 = W2 / m = 5320 N / 75.51 kg.
Calculating the value, the acceleration due to gravity on the other planet is approximately 70.43 m/s^2.

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Answer:

A

Explanation:

KE = 1/2 mv^2

=1/2(30kg)( 3.4 m/s)^2

=173.4 joules

=1.7×10^2 joules

Gamma rays and radio waves both fall under the electromagnetic spectrum. Presented is a picture that shows the complete spectrum. But the optical telescope can only see the visible spectrum. As a result, it is limited to frequencies between \(400\)  and  \(700 nm\).

It is safe to infer that Mike will be observing the visible region of the electromagnetic spectrum, since he recently bought an optical telescope.

The capacity of a thing to attract other objects to it; connected with or produced by the magnetic force. Physics. The study of the relationship between magnetism and electricity is referred to as electromagnetism.

The colours of the rainbow that the human eye can see, from violet to red, are included in this region of the electromagnetic spectrum.

Therefore, the closest frequency Mike can see with his new device is in the visible light spectrum, which lies between ultraviolet and infrared on the electromagnetic spectrum.

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There will be a huge electricity generation needs in these countries in the upcoming future.

All European countries signed the Paris Climate Agreement in 2016. In the future, some European countries will only allow electric vehicles. This will increase the need of generation of more electricity in these countries as they are fully dependent on electricity for their movement from one place to another and for their survival also, electricity plays a vital role in their life. From their room heaters to cars, everything will operate on electricity, this will reduce the pollution but increase their dependency on electricity, and hence it will put electricity companies in pressure to produce more electricity. By this we consider that there will be a huge electricity generation needs in these countries in the upcoming future.

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Answer:

D

Explanation:

Answer:

The awnser for "Electricity that flows in a closed path is called a" circuit.

Answer:

a. 26.7 cm. b. 11.4 cm.

Explanation:

a. We know h'/h = d'/d where h' = image height = + 2 cm (since it is a real image), h = object height = + 1.5 cm, d' = image distance from mirror and d = object distance from mirror = 20 cm

So, from h'/h = d'/d

d = h'd/h

= 2 cm × 20 cm/1.5 cm

= 40/1.5 cm

=  26.67 cm

≅ 26.7 cm

The position of the image is 26.7 cm from the mirror

b. Using the mirror formula

1/d + 1/d' = 1/f where d = object distance from mirror = + 20 cm, d' = image distance from mirror = + 26.7 cm (its positive since its a real image) and f = focal length of mirror.

So, 1/d + 1/d' = 1/f

⇒ f = dd'/(d + d')

= 20 cm × 26.7 cm/(20 cm + 26.7 cm)

= 534/46.7

= 11.43 cm

≅ 11.4 cm

The focal length of the mirror is 11.4 cm

Answer:

.

Explanation:

Answer: the acceleration needed will be 2.1 m/s²

The strength of the magnetic field is approximately 9.53 × 10^-3 T (Tesla).

The magnetic force experienced by a charged particle moving in a magnetic field can be calculated using the equation:

F = q * v * B * sin(θ),

where F is the magnetic force, q is the charge of the particle, v is its velocity, B is the strength of the magnetic field, and θ is the angle between the velocity vector and the magnetic field.

In this case, the particle has a charge of 2.7 μC (2.7 × 10^-6 C), a velocity of 773 m/s, and experiences a magnetic force of 5.75 × 10^-3 N.

Rearranging the equation, we can solve for the strength of the magnetic field:

B = F / (q * v * sin(θ)).

Assuming the angle between the velocity vector and the magnetic field is 90 degrees (sin(90) = 1), the calculation becomes:

B = (5.75 × 10^-3 N) / (2.7 × 10^-6 C * 773 m/s).

Evaluating the expression, the strength of the magnetic field is approximately 9.53 × 10^-3 T (Tesla).

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Answer:

cause you crazy..

Explanation:

The available options are:

A. bartenders serving alcohol

B. students identifying their professors.

C. Doctors diagnosing cases of schizophrenia.

D. eyewitnesses identifying suspects from a lineup.

Answer:

A.  bartenders serving alcohol

Explanation:

This is because of the underage rule concerning sale of alcohol. Thus, there are occasional period in which underage person or a minor will want to buy alcohol, and without necessarily asking for the birth certificate or ID card that contains Age information, it is therefore, necessary for bartenders to be able to tell the age of their unfamiliar customers, by mere looking at them, so as not to sell to a minor.

Hemce, Rhodes research in guessing the age of unfamiliar person has important implications for BARTENDERS SERVING ALCOHOL, because it will guide them to determine Underage or Minor, that want to buy alcohol from them.

Answer:

Kinetic energy depends on mass and speed (or magnitude of velocity).

K.E.  = 1/2 M S² or The amount of kinetic energy of a moving object has dependence on its  mass and its velocity.

Explanation: They are both right for a certain question

The kinetic energy of a moving object depends on its mass and velocity. The higher the velocity higher will be the kinetic energy. Mass also have the similar effect.

Kinetic energy of an object is the energy generated by virtue of its motion. When particles of an  object acquire much energy to overcome the intermolecular force, they gain kinetic energy to move apart.

Kinetic energy is related to the mass and velocity of the moving object. The expression relating kinetic energy with these parameters is written below:

Ke = 1/2 mv².

As per the relation, the kinetic energy of an object increases with an increase in mass or velocity or both. Hence, massive objects with greater velocity is having greater kinetic energy.

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Over the course of the 4 hours for which farmer Joe's tractor is pulling the heavy plow, the plow is gaining energy by virtue of its displacement --termed the Kinetic energy.

According to the question, Farmer Joe drives the tractor for 4 hours.

However, the tractor is connected to a heavy plow and is used to pull the plow across a rocky field.

The question requires that we determine if the plow is gaining or losing energy.

However, the focus of the question is during the pulling action of the tractor on the plow.

Ultimately, the plow is gaining energy as it is being pulled by the tractor and now has Kinetic energy.

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Answer:

When we sprinkle salt onto the ice cube, the state of equilibrium is disrupted. The salt molecules dissolve and join the water molecules thus changing the water's rate of freezing. The rate of melting is now much faster than freezing hence causing the ice to melt.

Explanation: Hope this helps

When a light ray travels parallel to the principal axis of a curved mirror, the ray will not be reflected back in the opposite direction like in the case of a flat mirror.

The reason why this does not occur is  because the surface of a curved mirror is not a flat surface and it has a varying curvature, which causes the reflected rays to behave differently compared to the flat mirror.

In the case of a concave mirror, when a light ray travels parallel to the principal axis and strikes the mirror, it is reflected back towards the focus of the mirror. This is because the concave mirror surface curves inward, causing the reflected light rays to converge towards the focus.

In the case of a convex mirror, when a light ray travels parallel to the principal axis and strikes the mirror, it is reflected back in a direction away from the focus of the mirror. This is because the convex mirror surface curves outward, causing the reflected light rays to diverge away from the focus.

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The smallest component of a chemical that can't be chemically broken down to produce static electricity has 18.06 10–23 atoms in each of its elements, which is 4Al2O3.

Protons, electrons, and neutrons are the three fundamental type of particles found in atoms. In contrast, the mass of the electron is extremely little compared to that of neutrons and protons. A neutrons has no charge, a proton has a positive charge, and an electron has a negative charge.

After the Big Big 13.7 billion years ago, atoms began to form. Conditions for the formation of quarks and electrons improved when the scorching, dense new universe cooled. Protons and neutrons were created when quarks joined to form nuclei from these particles.

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Answer:

D.

Explanation:

A meteoroid is a piece of stony debris that float in space and move around the sun in different orbits and speeds.

Meteoroids enter into Earth's surface with a high speed as shooting stars and called meteors. Meteors move through the atmosphere and landed on the surface and it is called a meteorite.

Hence, the correct answer is "D."

Answer:ur mom

Explanation:because

Answer:

20m/s^2

Explanation:

F=ma, therefore 10N = 0.5kg * a. Solve for a.

The mass of a planet affects the motion of the planet around the sun through the force of gravity.

According to Newton's law of universal gravitation, every object in the universe attracts every other object with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.

The greater the mass of a planet, the stronger its gravitational pull and the more it affects the motion of other celestial objects in its vicinity, including its own orbit around the sun.

In summary, the mass of a planet is a crucial factor that determines its motion around the sun, as it affects the strength of the gravitational forces acting on the planet and its orbit.

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Answer:  the magnitude of the magnetic field perpendicular to the wire is approximately 1.93 x 10^-3 T.

Explanation:

The magnetic force on a straight wire carrying current is given by the formula:

F = B * I * L * sin(theta),

where F is the magnetic force, B is the magnetic field, I is the current, L is the length of the wire, and theta is the angle between the magnetic field and the wire (which is 90 degrees in this case since the field is perpendicular to the wire).

Given:

Length of the wire (L) = 0.30 m

Current (I) = 15.0 A

Magnetic force (F) = 2.6 x 10^-3 N

Theta (angle) = 90 degrees

We can rearrange the formula to solve for the magnetic field (B):

B = F / (I * L * sin(theta))

Plugging in the given values:

B = (2.6 x 10^-3 N) / (15.0 A * 0.30 m * sin(90 degrees))

Since sin(90 degrees) equals 1:

B = (2.6 x 10^-3 N) / (15.0 A * 0.30 m * 1)

B = 2.6 x 10^-3 N / (4.5 A * 0.30 m)

B = 2.6 x 10^-3 N / 1.35 A*m

B ≈ 1.93 x 10^-3 T (Tesla)

Answer:

the temperature increas

The power series representation for f(x) = 2/(13x) centered at x = 0 is f(x) = 2/13 * (1/x + 0 + 0 + ...), obtained by expressing 1/x as a power series and multiplying it by 2/13.

To find a power series representation for the function f(x) = 2/(13x), we can start by expressing 1/x as a power series. The power series representation for 1/x centered at x = 0 is obtained by expanding 1/x using the geometric series formula. Simplifying the expression, we get 1/x = 1/x + 0 + 0 + ..., as all the terms after the first term are zero.

To obtain the power series representation for f(x), we multiply the series for 1/x by 2/13, resulting in f(x) = 2/13 * (1/x + 0 + 0 + ...). Therefore, the power series representation for f(x) centered at x = 0 is given by f(x) = 2/13 * (1/x + 0 + 0 + ...). This represents an infinite series where the coefficients of the powers of x are determined by the constant term 2/13.

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The vertical component of the ball's velocity is 24.9 m/s, and the horizontal component is 60.1 m/s.

To determine the vertical and horizontal components of the ball's velocity, we can use trigonometry. The initial velocity of the ball can be broken down into its vertical and horizontal components.

The vertical component of velocity can be found using the formula: V_vertical = V_initial * sin(theta), where V_initial is the initial velocity and theta is the angle of projection.

In this case, V_initial is 40 m/s and the angle is 22.5°. Plugging in these values, we get: V_vertical = 40 m/s * sin(22.5°) ≈ 24.9 m/s.The horizontal component of velocity can be found using the formula: V_horizontal = V_initial * cos(theta), where V_initial is the initial velocity and theta is the angle of projection.

Plugging in the values, we get: V_horizontal = 40 m/s * cos(22.5°) ≈ 60.1 m/s. Therefore, the vertical component of the ball's velocity is approximately 24.9 m/s, and the horizontal component is approximately 60.1 m/s. Option (a) - 24.9 m/s, 60.1 m/s - represents the correct answer.

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Answer:

True

Explanation:

mass, length, time, electric current, temperature, luminous intensity and amount of substance

Answer:

43.3 m/s.

Explanation:

Assuming the potential energy is due to the gravitational potential energy, we can use the conservation of energy to find the kinetic energy:

Total energy = Potential energy + Kinetic energy

Kinetic energy = Total energy - Potential energy

Kinetic energy = 300 J - 40 J = 260 J

However, we need to know the mass of the object to convert the kinetic energy to velocity. We can use the potential energy to find the mass:

Potential energy = mgh

40 J = m(9.81 m/s^2)(300 m)

m = 0.137 kg

Now we can use the kinetic energy to find the velocity:

Kinetic energy = (1/2)mv^2

260 J = (1/2)(0.137 kg)v^2

v^2 = (2*260 J) / 0.137 kg

v = 43.3 m/s (rounded to one decimal place)

Therefore, the kinetic energy is 260 J and the velocity of the object when it reaches the ground is 43.3 m/s.

An acrobatic airplane performs a loop at an airshow. The centripetal acceleration the plane experiences is 14. 7 m/s2. If it takes the pilot 45. 0 seconds to complete the loop, 474 m is the radius of the loop.

To find the radius of the loop, we can use the formula for centripetal acceleration:

\(a = V^{2} / r\)

where a is the centripetal acceleration, v is the velocity, and r is the radius of the loop.

Given that the centripetal acceleration is 14.7 m/s² and the time taken to complete the loop is 45.0 seconds, we need to find the velocity of the airplane. Since the loop is a complete circle, the distance traveled is equal to the circumference of the loop, which is 2πr.

The formula for velocity is:

\(v = 2\pi r / t\)

where v is the velocity, r is the radius, and t is the time.

Now we can substitute the values into the equations

14.7 = (2πr / t)² / r.

Simplifying the equation:

14.7 = (4π²r) / t².

Rearranging the equation to solve for r:

r = (14.7 * t²) / (4π²).

Substituting the given values:

r = (14.7 * (45.0)²) / (4π²).

r=474.342

r=474m

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Answer:

Scalar quantities are defined by a magnitude with no applicable direction. In contrast, vector quantities must have both magnitude and direction of action. Some common scalar quantities are distance, speed, mass, and time. Some common vector quantities are force, velocity, displacement, and acceleration.

Explanation:

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