A 385-g tile hangs from one end of a string that goes over a pulley with a moment of inertia of 0.0125 kg ⋅ m2 and a radius of 15.0 cm. A mass of 710 g hangs from the other end of the string. When the tiles are released, the larger one accelerates downward while the lighter one accelerates upward. The pulley has no friction in its axle and turns without the string slipping. What is the tension in the string on the side of the 710-g tile?

The time elapsed between the first splash and the second splash is approximately 0.69 seconds.

To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.

We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.

For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).

Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.

Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.

For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.

Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.

To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.

Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.

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The scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable.

Observation is the first step of the scientific method, which then requires to raise a question that will be answered by a testable hypothesis.

The scientific method is a series of well-established steps used to collect scientific empirical data/evidence, which allow to test a given hypothesis.

In conclusion, the scientific method include Observations >> Data; Factor manipulated >> Independent Variable, process to test >> experiment, guess >> hypothesis, results >> Conclusion and response >> dependent variable..

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Answer:

yes

Explanation:

I would say yes because it's exerting some type of force as it reacts to the stick to make it jump straight in an upwards direction

Answer:

Environmental means relating to or caused by the surroundings in which someone lives or something exists. It protects against environmental hazards such as wind and sun. The form the human family takes is a response to environmental pressures.

Explanation:

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Answer:

It looks like a total of 9 meters

Explanation:

the dot on the graph for 1910 sits JUST below the mark for 10 meters

Answer:

Another very important reason why people prefer to live in valleys instead of plateaus is because of available sources of water. This conducive nature of valleys in turn accommodate factors like economic growth,social and cultural, which in turn attract more people, hence making these areas densely populated.

At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.

To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.

The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:

\(C_H\)+ = \(10^(^-^p^H^)\)

Substituting pH = 8 into the formula:

\(C_H\)+ = \(10^(^-^8^))\)

Using the properties of logarithms, we can calculate the concentration of H+ ions:

\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L

According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.

To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:

Ratio = \(C_H\)+ / \(C_O_H\)-

Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))

Ratio = 1:1

The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.

When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.

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The electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

An electric field is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

Thus, for the charged balloon and a charged piece of paper 0.04 m away, we can conclude that, the electric field is all around the balloon and paper including between them, where, depending on their charge, there would be a force of either attraction or repulsion.

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The force that acts on a projectile in the horizontal direction is Gravitational force.

A projectile is an object upon which the only force is gravity. Gravity acts to influence the vertical motion of the projectile, thus causing a vertical acceleration. The horizontal motion of the projectile is the result of the tendency of any object in motion to remain in motion at constant velocity.

Due to the absence of horizontal forces, a projectile remains in motion with a constant horizontal velocity. Horizontal forces are not required to keep a projectile moving horizontally. Hence, The only force acting upon a projectile is gravity.

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Answer:

a unit of length effectively equal to the average, or mean, distance between Earth and the Sun

Explanation:

Answer:6 hours

Explanation:

72km/22km

Answer:

When the spectral lines are absorption lines, the effect is called inverse Zeeman effect.

The maximum number of electrons that could be found in  particular energy level is given by the formula 2n^2

According to the Bohr model of the atom, the atom is composed of electrons which are arranged in orbits. The orbits are arranged in such a way that they have specific energy levels.

Now, the maximum number of electrons that could be found in  particular energy level is given by the formula 2n^2 where n is the principal quantum  number of that energy level.

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Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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The data does not support his hypothesis because the heaviest mass travelled the least distance.

The weight of an object is the force of gravity acting on the object and the force of gravity increases with increase in the mass of the object.

W = mg

where;

Based on law of conservation of energy;

P.E = K.E

mgh = ¹/₂mv²

h = ( v² ) / ( 2g )

The height travelled by an object increases with increase in speed of the object and heavier objects will have greater speed, hence travel greater height.

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The complete question is below:

Jacobie wanted to test the projectile motion of a pumpkin. His hypothesis was if the pumpkin had a larger mass, then the higher he could throw it, because the larger pumpkins would have more force. He bought three orange pumpkins and tested them all on the same day. His results are shown at right. Does the data support his hypothesis?

5kg = 10meters

10kg = 5 meters

15kg = 1 meter

Compute the magnitude of the centripetal acceleration a :

a = (22 m/s)² / (50 m) = 9.68 m/s²

Then the magnitude of the centripetal force is

F = (1200 kg) (9.68 m/s²) = 11,616 N ≈ 12,000 N

The truck needs 11,616 N of centripetal force to bend around a radius 50 m.

From the centripetal acceleration,

\(a = \dfrac{v^2}{r}\)

Where,

\(a\)- Centripetal acceleration

\(v\)- velocity = 22 m/s

\(r\)- radius = 50 m

Put the values,

\(a =\dfrac { (22 \rm \ m/s)^2}{(50\rm \ m)}\\\\a = 9.68\rm \ m/s^2\)

So, the centripetal force is

\(F = ma\)

Where, m is the mass = 1200 kg

So,

\(F= 1200\rm \ kg\times 9.68\rm \ m/s^2 \\\\F = 11,616\rm \ N\)

Therefore, the truck needs 11,616 N of  centripetal force to bend around a radius 50 m.

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Answer:

You take the derivative of the velocity equation!

Explanation:

The acceleration basically refers to how the velocity changes over time. To find that, you need to take the derivative of the velocity equation. Comment if you would like me to show you what that looks like. Once you find the derivative you can plug your time value into the equation and get the acceleration at that time!

Answer:

find the rate of change of the velocity equation

Answer:

47.24 in

Explanation:

120 / 2.54 = 47.24

Answer:

C. Pumping

Explanation:

???

Answer: Losing weight due to decreased appetite

Explanation: because you guys trust me

When the accompanying stimuli are not present, we can alter and reactivate internal representations through mental imagery. This procedure results in the phenomenon known as "seeing with the mind's eye" when it comes to visual mental images. Thus, option B is correct.

Mental imagery is mostly used to simulate potential future events and "relive" previous experiences. According to this viewpoint, imagery ought to be investigated in a variety of cognitive tasks as well as on its own.

Although it is widely used to enhance physical performance, mental imagery can also benefit tasks that need both cognitive and emotional functioning, such as managing emotions and stress or public speaking.

Therefore, change her feelings. Studies have demonstrated that imaging can promote relaxation in the body and mind. Manage depression, stress, and anxiety are other benefits. Help lessen the agony

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The given question is incomplete. The complete question is given below:

Nan is upset because she has not lost enough weight to buy the new swimsuit that she had wanted, so she imagines herself on the beach having fun with her friends in her current swimsuit. Nan is using mental images to

a.

Prepare for some action.

b.

Change her feelings.

c.

Make a decision.

d.

Aid memory.

To calculate the torque required to create an angular acceleration, we can use the formula:

Torque = Moment of Inertia × Angular Acceleration

The moment of inertia of a disk can be calculated using the formula:

Moment of Inertia = (1/2) × Mass × Radius^2

Given:

Mass = 15,000 kg

Radius = 6.14 m

Angular Acceleration = 0.0500 rad/s^2

First, calculate the moment of inertia:

Moment of Inertia = (1/2) × Mass × Radius^2

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Next, calculate the torque:

Torque = Moment of Inertia × Angular Acceleration

Torque = Moment of Inertia × 0.0500 rad/s^2

Now, let's plug in the values and calculate:

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Moment of Inertia ≈ 283,594.13 kg·m^2

Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2

Torque ≈ 14,179.71 N·m

Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.

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Answer:

a change in the objects inertia

Given:

The mass of water is: m = 200 g

To find:

The heat necessary to vaporize 200 g of water at 100°C to form steam at 100°C.

Explanation:

The heat Q, mass m, and the latent heat L are related as:

The latent heat of the water to convert it from 100°C to form steam at 100°C is 2260 J/g. Thus,

L = 2260 J/g

Substituting the values in the above equation, we get:

Final answer:

Thus, 452 kJ of heat will be required to vaporize 200 g of water.

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The magnitude of the velocity of S' with respect to S is therefore approximately  \(9 * 10^(11)\)m/s. then the magnitude is approximately\(9 * 10^(11)\) m/s.

the velocity of the system S' with respect to S as v. Since the two events are simultaneous in the system S', they must have the same time coordinate in that system. Let's call this time coordinate t' and the position of the two events in the S' system as (x1', t') and (x2', t').

Using the Lorentz transformation equations, we can relate the coordinates (x1, t1) and (x2, t2) in the S system to the coordinates (x1', t') and (x2', t') in the S' system:

x1' = γ(x1 - vt1)

t' = γ(t1 - vx1/\(c^2\))

x2' = γ(x2 - vt2)

t' = γ(t2 - \(vx2/c^2\))

where γ = 1/√(1 - \(v^2/c^2\)) is the Lorentz factor.

Since the two events are separated by 900 m and a time interval of 10^-6 s, we have:

x2 - x1 = 900 m

t2 - t1 = \(10^-6\) s

Using the above equations, we can solve for v. First, we can eliminate t' by equating the two expressions for t':

γ(t1 - vx1/\(c^2\)) = γ(t2 - vx2/\(c^2\))

Simplifying this expression, we get:

v =\(c^2\)(x2 - x1)/(t2 - t1)(x1 + x2)

Plugging in the given values, we get:

v = c^2(900 m)/(\(10^-6\) s)(0 m + 900 m) = 9 × \(10^11\) m/s

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With the use of first and third equation of motion, the distance covered by a T-Rex is 30.51 m

When a body is in linear motion, the body is moving in a straight line. some of the parameters to consider are:

Given that a T-Rex move from 0 m/s to 9 m/s in 6.78 seconds, the distance covered can be found by calculating the acceleration.

Let us use equation 1

V = U + at

9 = 0 + 6.78a

a = 9 / 6.78

a = 1.33 m/\(s^{2}\)

Now let us use equation 3

\(v^{2}\) = \(u^{2}\) + 2as

\(9^{2}\) = 2 x 1.33 x S

81 = 2.655S

S = 81/2.655

S = 30.51 m

Therefore, the distance covered by a T-Rex is 30.51 m.

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Answer:

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 30 × 10 × 15

We have the final answer as

Hope this helps you

The steady force required of each rocket is 27,875 N.

The steady force required by each rocket along the circular path is calculated as follows;

F = ma

where;

The centripetal acceleration of each rocket is calculated as follows;

a = ω²r

where;

ω = 46 rpm = 46 rev/min x 2π rad/rev x 1 min/60s = 4.82 rad/s

t = 7 min = 7 x 60 s = 420 s

a = ω²r

a = (4.82²) x 4.8 m

a = 111.5 m/s²

The steady force is calculated as follows;

F = ma

F = 250 x 111.5

F = 27,875 N

Thus, the steady force required of each rocket is determined by applying the concept of centripetal force.

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