if the rotation of a planet of radius 7.66 x 10^6 m and free-fall acceleration 8.34 m/s^2 increased to the point that the centripetal acceleration was equal to the gravitational acceleration at the equator, what would be the tangential speed of a person standing at the equator?
answer in units of m/s​​

ITS TURE.When there is no torque acting on a body, its angular momentum is constant. Net force changes momentum, while net torque changes angular momentum.

Answer: false

Explanation:

Answer:

Law of conservation of energy.

Hope it helps.

a. the period of the oscillations is  0.285 seconds.

b. The maximum speed of the mass as it passes through the equilibrium position is 19.26 m/s.

T = 2π√(m/k)

where T=  period

m= mass

k= spring constant.

T = 2π√(0.820 kg / 2620 N/m)

T = 2π√(0.820 / 2620)

T =  0.285 seconds

b.

max speed = Aω

A =  amplitude

ω=  angular frequency.

ω = √(k/m)

ω = √(2620 N/m / 0.820 kg)

ω = √(3207.3 rad/s²)

ω =  56.64 rad/s

max speed   = 0.340 m × 56.64 rad/s

max speed  =  19.26 m/s

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Answer:

Since the two colliding objects travel together in the same direction after the collision, the total momentum is simply the total mass of the objects multiplied by their velocity.

Explanation:

Answer:

d = 8.45 m

Explanation:

Given that,

A basketball is dropped from top of the rim.

It takes 1.3s to fall.

We need to find the displacement of the basketball. Let the displacement is d. Using second equation of kinematics,

\(d=ut+\dfrac{1}{2}at^2\)

Where

u is the initial velocity, u = 0

a = g

So,

\(d=\dfrac{1}{2}\times 10\times 1.3^2\\\\d=8.45\ m\)

So, the displacement of the basketball is 8.45 m.

There are 54 electrons, 54 protons, and 78 neutrons in an atom of 132 is over 54xe.

The atomic number of an element represents the number of protons in its nucleus. In this case, the element is xenon (Xe), which has an atomic number of 54. This means that there are 54 protons in the nucleus of the atom.

The mass number of an element represents the total number of particles in its nucleus, including protons and neutrons. The given isotope, 132 is over 54xe, has a mass number of 132. To find the number of neutrons, we subtract the number of protons (54) from the mass number (132), which gives us 78 neutrons.

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Answer:

(a) The research method that would be used to test this theory is an experimental method.

(b) The independent variable would be the amount of time participants spend watching cooking shows on television, and the dependent variable would be their cooking ability. Cooking ability can be measured by objective measures such as speed and accuracy in preparing dishes, as well as subjective measures such as taste and presentation.

(c) One potential confounding variable could be prior cooking experience. Participants with prior cooking experience may have a higher cooking ability regardless of the amount of time they spend watching cooking shows, whereas those without prior cooking experience may have a lower cooking ability regardless of the amount of time they spend watching cooking shows. To control for this variable, participants could be randomly assigned to groups based on their prior cooking experience, or prior cooking experience could be measured and included as a covariate in the analysis.

Explanation:

38 nm A waveform signal that is carried in space or down a wire has a wavelength,

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

The wavelength of the wave is the distance covered by it throughout a whole oscillation. A meter is the wavelength's SI unit (m).

*v=c/λ

v: 7.8 × 10^15 Hz c: 3.00*10^8 λ:?

7.8 × 10^15 Hz = 3.0010^8/λ

λ = 3.0010^8 m/s /7.8 × 10^15

λ = 3.8 10^-8

The calculated wavelength is in unit of meter. use the relationship between meter and nanometer to convert to the correct units.

3.8 10^-8 m (1nm/ 110^-9m )

= 38 nm

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Answer:

7.07 s

69.3 m/s

Explanation:

Taking the negative direction to be down and the positive direction to be up:

We have 3 variables in the y-direction and can solve for time.

Use this kinematics equation to solve for time.

It will take the ball 7.07 s to reach the ground.

We can solve for final velocity using the same variables in the y-direction:

Use this kinematics equation to solve for final velocity.

The ball will be traveling at a speed of 69.3 m/s at the instant before it reaches the ground.

Answer:

A

Explanation:

Dropping the magnet its weaknging the structure

When we see the brightest star in the constellation Orion just rising above your eastern horizon at 10 pm and One week later at 10 PM this same star will be at its highest point in the sky, directly overhead .

The position of Stars in the sky changes as the Earth rotates on its axis.

As the Earth rotates, different stars appear to rise in the east and set in the west.

If we see the brightest star in constellation Orion just rising above our eastern horizon at 10 PM, and 1 week later at 10 PM, this same star will be at its highest point in the sky, directly overhead.

This is because the Earth has rotated 1 full revolution in a week, which causes the star to move from the eastern horizon to the overhead position.

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The speed with which the 12.0 kg bucket strikes the floor is 6.27 m/s, using the principle of conservation of energy.

The potential energy of the system of two paint buckets connected by a lightweight rope is given by mgh, where m is the mass of the bucket, g is the acceleration due to gravity, and h is the height of the bucket above the floor.

Thus, the potential energy of the 12.0 kg bucket when it is 2.00 m above the floor is given by

(12.0 kg)(9.81 m/s²)(2.00 m) = 235.44 J.

At the same time, the kinetic energy of the system is zero since it is released from rest.

Therefore, the total energy of the system is 235.44 J.

This is equal to the kinetic energy of the system just before the 12.0 kg bucket strikes the floor.

Using the kinetic energy formula, KE = 1/2mv²,

where m is the mass of the bucket and v is the speed at which it strikes the floor,

we can solve for v as follows:

KE = 1/2mv²235.44 J

     = 1/2(12.0 kg)v²

     = (2 × 235.44 J)/12.0 kgv²

     = 39.24 JV

     = sqrt(39.24 J)

     = 6.27 m/s

Therefore, the speed with which the 12.0 kg bucket strikes the floor is 6.27 m/s, using the principle of conservation of energy.

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The first statement is true; if dim V = p and if S is a linearly dependent subset of V, then S contains more than p vectors.

The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearlyly dependent.

Explanation:

If S is linearly dependent, then there is at least one vector in S that can be written as a linear combination of the remaining vectors. If this is the case, then this vector is redundant, and it can be removed from S. This means that we can repeat the process until we have removed all the redundant vectors from S.So, let us assume that S is a linearly dependent subset of V such that dim V = p, then we have the following:dim (span S) < dim Vp. So S contains more than p vectors.

The  second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.

Explanation:Let us assume that S spans V and if T is a subset of V that contains more vectors than S, then T must have a vector not in S. We can add this vector to S to get a set that contains all the vectors in T. The resulting set is linearly dependent because it contains more vectors than S, which is known to span V.

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Answer:

Hey, the answer is Zirconium-93

Explanation:

Im very positive about this question, so i hope I helped you ;p

Answer:

Zirconium-93

Explanation:

when we add up the 40 protons and 53 neutrons it gives 93 and a protons and neutron 93 gives a Zirconium-93

Thanks theres your answer

Answer:

potential - water behind a dam, car parked at the top of a hill, a yo-yo before being released, river water at top of waterfall, a book on a table before it falls, a child at the top of a slide, ripe fruit before it falls.

kinetic - moving car, bullet from a gun, wind mills, flying airplane, walking, running, cycling, rollercoasters.

The football lands approximately 46.23 meters down the field.

When a team is backed up 4th and long, it means they are on their own side of the field and have a long distance to go in order to get a first down. In this situation, the Eagles have decided to punt the football.

To determine how far down the field the football lands, we need to use basic principles of projectile motion. The ball is kicked with an angle of 39 degrees to the ground and an initial speed of 31 m/s.

First, we can break down the initial velocity into its horizontal and vertical components. The horizontal component is given by the formula: Vx = V * cos(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vx = 31 * cos(39°) = 24.07 m/s.

Next, we can find the vertical component of the initial velocity. The vertical component is given by the formula: Vy = V * sin(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vy = 31 * sin(39°) = 18.91 m/s.

The time it takes for the football to land can be found using the vertical component of the velocity and the acceleration due to gravity. The equation to use is: y = Vy * t - 0.5 * g * t^2, where y is the vertical distance, Vy is the vertical component of the velocity, t is the time, and g is the acceleration due to gravity.

We know that y is 0 because the football lands on the ground. Solving for t, we get: 0 = 18.91 * t - 0.5 * 9.8 * t^2. Solving this quadratic equation, we find t = 1.92 s.

Finally, we can find the horizontal distance traveled by the football using the horizontal component of the velocity and the time. The equation to use is: x = Vx * t, where x is the horizontal distance, Vx is the horizontal component of the velocity, and t is the time. Plugging in the values, we have x = 24.07 * 1.92 = 46.23 m.

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Answer:

in order to know the length of something

Answer:

Current in the circuit(I) = 0.5 ampere

Explanation:

Given:

Number of resistors = 2 (10 ohm each)

Series of resistors

EMF = 10 volt

Find:

Current in the circuit(I)

Computation:

Total resistance in series = R1 + R2

Total resistance in series = 10 + 10

Total resistance in series = 20 ohm

Current in the circuit(I) = EMF / Total resistance in series

Current in the circuit(I) = 10 / 20

Current in the circuit(I) = 0.5 ampere

Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.

The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.

Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

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The maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

In the L-C oscillation, energy is transferred between capacitor and inductor with a certain periodicity.

Given that, Inductance L = 65 * 10⁻³ h

Capacitance C = 300 * 10⁻⁴ F

Initial charge q = 6.5 * 10⁻⁴ C

We know that,

1/2 q²/C + 1/2 L² = 1/2 C* v₀²

From the above equation, we can write v₀ = q/C

Substituting the values in the above equation, we get

v₀ = q/C = (6.5 * 10⁻⁴) / (300 * 10⁻⁴) = 0.021 V = 2.1 * 10⁻² V

The formula to calculate initial energy in the capacitor is 1/2* q²/C

where q is charge and C is capacitance

E = 1/2 * q²/C = (6.5 * 10⁻⁴)²/ 2 * (300 * 10⁻⁴)

⇒ (42.25 * 10⁻⁸)/ (6 * 10⁻²)

⇒ 7.042 * 10⁻⁶ J

Thus, maximum voltage across the capacitor is 2.1 * 10⁻² V and the initial energy in the capacitor is 7.042 * 10⁻⁶ J.

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Answer: The electrons flowing through the wire are referred to as a quantity of electricity, and the flow of electricity is referred to as “an electric current.”

Explanation: Hope it Helps have a blessed day

Answer:

Explanation:

0 m/s^2 is the answer

Answer:

Zero

Explanation:

Constant speed involves zero acceleration  ( which is a change in speed)

The step which ordinary people can take to minimize the effects of earthquakes and volcanoes and prevent the loss of human life is through awareness and warning systems by the appropriate authorities.

This is referred to as the process which involves the sudden shaking of the ground as a result of the passage of seismic waves through Earth's rocks.

Its effect with that of volcanoes can be reduced by creating the necessary awareness and warning systems so that the citizens adopt land use practices and building codes best suited for areas prone to this type of condition.

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Answer:

23: Acceleration 24:1m/s^2

Explanation:

\(a = (v_f - v_i) /delta(t)\\a=(16-10)/6\\a=6/6\\a=1m/s^2\)

The maximum differential height of the slide that meets the condition that the children don't travel faster than 5 m/s when they reach the bottom is 4.8 meters. This is calculated using the formula

When a child slides down the slide, the potential energy at the top is converted to kinetic energy at the bottom. When the child reaches the bottom, the kinetic energy is equal to the potential energy at the top. Therefore, the potential energy can be calculated using the formula:PE = mgh, where m is the mass of the child, g is the acceleration due to gravity (9.8 m/s²), and h is the height of the slide. The kinetic energy can be calculated using the formula:KE = 1/2mv², where v is the velocity of the child at the bottom of the slide. Since the slide is frictionless, all the energy at the top is converted to kinetic energy at the bottom, so PE = KE. Therefore, mgh = 1/2mv², and solving for h, we get:h = v²/2g. We want to find the maximum differential height that meets the condition that the children don't travel faster than 5 m/s when they reach the bottom. Therefore, we want to find the maximum value of h that satisfies the condition:v = 5 m/sh = v²/2g = 5²/(2×9.8) = 1.2755 m ≈ 1.28 mThe maximum differential height is the height of the slide minus the height at the bottom of the slide.

Therefore, the maximum differential height is:4 m - 1.28 m = 2.72 mThe maximum differential height of the slide that meets the condition that the children don't travel faster than 5 m/s when they reach the bottom is 2.72 meters.

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Answer:

Time, t = 50.8 seconds.

Explanation:

Given the following data;

Mass = 6000 kg

Force = 2950 N

Initial velocity = 4 m/s

Final velocity = 29 m/s

To find time;

First of all, we would determine the acceleration of the truck using the following formula;

Force = mass * acceleration

2950 = 6000 * acceleration

Acceleration = 2950/6000

Acceleration = 0.492 m/s²

Next, we find time using the first equation of motion;

\( V = U + at\)

Where;

V is the final velocity.

U is the initial velocity.

a is the acceleration.

t is the time measured in seconds.

Making time, t the subject of formula, we have;

\( t = \frac{V - U}{a}\)

Substituting into the equation, we have;

\( t = \frac{29 - 4}{0.492}\)

\( t = \frac{25}{0.492}\)

Time, t = 50.8 seconds.

Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

Answer:

\(\huge\boxed{\sf a = 2.5 \ m/s\²}\)

Explanation:

Mass = m = 1000 kg

Force = F = 2500 N

Acceleration = a = ?

F = ma (Newton's second law of motion)

F = ma

Solve for a.

a = F / m

a = 2500 / 1000

\(\rule[225]{225}{2}\)