A tennis ball with a speed of 22.2 m/s is moving perpendicular to a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 14.9184 m/s. If the ball is in contact with the wall for 0.00965 s, what is the average acceleration of the ball while it is in contact with the wall? Take "toward the wall" to be the positive direction. Answer in units of m/s 2

The equation for kinetic energy of shm system is given by;

KE=0.5mw²(A²-x²)

where m is the mass of the object

w² is the angular frequency

A is the amplitude

and x is the positive

The equation for the potential energy is given by;

PE=0.5mw²x²

Solve KE=2PE and you get ur answer

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Given:

Amplitude [tex]\displaystyle\sf A = 10\,\text{cm} = 0.1\,\text{m}[/tex]

We want to find [tex]\displaystyle\sf x[/tex] such that the kinetic energy [tex]\displaystyle\sf KE[/tex] is twice the potential energy [tex]\displaystyle\sf PE[/tex].

Using the formulas for kinetic energy and potential energy in SHM:

[tex]\displaystyle\sf KE = \dfrac{1}{2}mv^{2}[/tex]

[tex]\displaystyle\sf PE = \dfrac{1}{2}kx^{2}[/tex]

Since we are considering the same particle, the mass [tex]\displaystyle\sf m[/tex] cancels out. Therefore, we can compare the expressions for [tex]\displaystyle\sf KE[/tex] and [tex]\displaystyle\sf PE[/tex]:

[tex]\displaystyle\sf \dfrac{1}{2}kx^{2} = 2\left(\dfrac{1}{2}kA^{2}\right)[/tex]

Simplifying this equation:

[tex]\displaystyle\sf kx^{2} = 2kA^{2}[/tex]

Dividing both sides by [tex]\displaystyle\sf k[/tex]:

[tex]\displaystyle\sf x^{2} = 2A^{2}[/tex]

Taking the square root of both sides:

[tex]\displaystyle\sf x = \sqrt{2}A[/tex]

Substituting the value of [tex]\displaystyle\sf A[/tex]:

[tex]\displaystyle\sf x = \sqrt{2} \times 0.1\,\text{m}[/tex]

Calculating the value:

[tex]\displaystyle\sf x = 0.1414\,\text{m}[/tex]

Converting to centimeters:

[tex]\displaystyle\sf x = 0.1414 \times 100\,\text{cm}[/tex]

[tex]\displaystyle\sf x \approx 14.14\,\text{cm}[/tex]

Therefore, the distance from the mean position at which the kinetic energy is twice the potential energy is approximately [tex]\displaystyle\sf 14.14\,\text{cm}[/tex].

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♥️ [tex]\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

Frictional force increases with the increase in the roughness of the surface.

Explanation:

You will see that the rougher the surface, the greater the wear and tear.

Answer:

Momentum is defined as the amount of motion occurring in something that is moving, or the force that drives something forward to keep it moving. An example of momentum is how quickly a car is moving down a hill.

Answer:

[tex]a=1.67\ m/s^2[/tex]

Explanation:

Given that,

Mass of the box, m = 6 kg

The net force acting on the box, F = 10 N

We need to find the acceleration of the box. We know that the force acting on an object is given by :

F = ma

a is the acceleration of the box,

[tex]a=\dfrac{F}{m}\\\\a=\dfrac{10\ N}{6\ kg}\\\\a=1.67\ m/s^2[/tex]

So, the acceleration of the box is [tex]1.67\ m/s^2[/tex].

Answer:

5 KG of ice would have the lowest thermal energy

Answer:

its A; 5 kg of ice

Explanation:

yurrrr

Answer:

density = 0.16[gr/cm^3] = 160 [kg/m^3]

Explanation:

To solve this problem we must use the definition of density which tells us that this is equal to the relationship between mass and volume. In this way we have:

Since the body is a cube, its sides are equal we have:

v = 5 * 5 * 5 = 125 [cm^3]

m = 20 [grams]

density = m / v

density = 20/125

density = 0.16 [grams/cm^3]

Now if we convert the units to the international system, we have:

[tex]0.16[\frac{gr}{cm^{3} } ]*\frac{1kg}{1000gr} *\frac{100^{3} cm^{3} }{1^{3} m^{3} } \\= 160 [kg/m^{3} ][/tex]

The electric field strength is defined as the ratio of electric force and charge. The electric field strength will be 2.8 ×10⁵ N/C.

The electric field strength is defined as the ratio of electric force and charge. The field's direction is determined by the direction of the force acting on the positive charge.

A positive charge produces a radially outward electric field, whereas a negative charge produces a radially inward electric field.

The given data in the problem is;

Q is the charge= 6. 4 × 10–7 C

E is the electric force=1. 8 × 10–1 N

The relation between the electrostatic force and the electric field due to a charge is given as:

[tex]\rm F_E=Q E \\\\ \rm E=\frac{F_E}{Q} \\\\ \rm E=\frac{1.8\times 10^{-1}}{6.4\times 10^{-7}} \\\\ \rm E=2. 8 \times 10^5\ N/C.[/tex]

Hence the electric field strength will be 2.8 ×10⁵ N/C.

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Answer:

51m/s - 13m/s= 38m/s

38m/s÷45m/s²= 0/8

Explanation:

First we bring the difference in speeds to religion because this is the formula

Secondary speed - primary speed ÷ time

[tex] \frac{51 - 13} {45} =0.8[/tex]

Because we do not have a definite time, according to the division formula, we accelerate to get the time

why does something fall faster if it is heavier?

➪ First of all I would like to inform you that this statement is not true. The acceleration does not depend on the mass of the object. Heavier things have a greater gravitational force AND heavier things have a lower acceleration. It turns out that these two effects exactly cancel to make falling objects have the same acceleration regardless of mass.

Lets see

According to Newton's second law

[tex]\\ \rm\rightarrowtail F=ma[/tex]

[tex]\\ \rm\rightarrowtail F\propto m[/tex]

[tex]\\ \rm\rightarrowtail m\propto \dfrac{1}{a}[/tex]

So heavier objects fall faster than lighter ones .

Radio works by transmitting and receiving electromagnetic waves. The radio signal is an electronic current moving back and forth very quickly. A transmitter radiates this field outward via an antenna; a receiver then picks up the field and translates it to the sounds heard through the radio

Answer:

radio work by transmitting and receiving electro magnetic waves.

Answer:

independent variable- concentration of reactants

dependent variable- rate of reaction

Explanation:

A dependent variable is a variable that is placed under test and is measured under the process of a scientific experiment.

An independent variable is a variable that undergoes the change in the experiment performed. This change is done with respect to test the efforts that are observed on the dependent variable.

In the given hypothesis, 'concentration of reactants' is the independent variable and 'rate of reaction' is the dependent variable

Answer:

Whats up Bmw,

The organisms is caused when both the organisms or species are harmed, which is limited supply of at least one resource from food or even water used by both can be a factor.

Explanation:

Hope I helped you, and let me know if you need help on anything else :p

Answer:

Limited resources lead to competition between organisms

Explanation:

Competition is a negative interaction that occurs among organisms whenever two or more organisms require the same limited resource. All organisms require resources to grow, reproduce, and survive. However, organisms cannot acquire a resource when other organisms consume or defend that resource.

Answer:

acceleration = (change of velocity) / (time)

a = 12/ 4 = 3 m/s2

The direction of the electrostatic force on the second charge (charge 2) will be away from the first charge (charge 1).

The electrostatic force between the two charges is determined with Coulomb's law;

F = kq²/r²

F = (9 x 10⁹ x 0.0008²)/(2)²

F = 1,440 N

Since the two charges are the same (positive), the direction of the electrostatic force on the second charge (charge 2) will be away from the first charge (charge 1).

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Answer:

The Moment of a force is a measure of its tendency to cause a body to rotate about a specific point or axis. This is different from the tendency for a body to move, or translate, in the direction of the force. In order for a moment to develop, the force must act upon the body in such a manner that the body would begin to twist. This occurs every time a force is applied so that it does not pass through the centroid of the body. A moment is due to a force not having an equal and opposite force directly along it's line of action.

Imagine two people pushing on a door at the doorknob from opposite sides. If both of them are pushing with an equal force then there is a state of equilibrium. If one of them would suddenly jump back from the door, the push of the other person would no longer have any opposition and the door would swing away. The person who was still pushing on the door created a moment.

Explanation:

hope it helps you

Answer:

a. Patterns of motion among large bodies- Sun, planets, large moons rotate in an organized way (co-planar)—nearly circular orbits in the same direction (coplanar and prograde)

b. Two major types of planets- terrestrial vs. jovian planets

c. Asteroids and comets- locations, orbits, and compositions follow distinct patterns—Asteroids are b/t Mars and Jupiter in the asteroid belt. Also located in the Kuiper belt and Oort Cloud

d. Exceptions to the rules- Earth is inner planet with large moon, Uranus is only side tilted axis, etc.

Hope this helps

Answer:

i think that you are right becuase when the line goes down it goes back up and passes 10 and goes down and passes 20 and 20 is 2 10's and 10-10 is 0

Explanation:

i think your right

Number 3

Explanation:

Since the gravity is pushing down on potatoes and the bag because of weight, the force is balanced. The gravity makes the bag point downward.

Answer:

A

Explanation:

the ball pushing on the person

Answer:

Three ways electrons can be transferred are conduction, friction, and polarization. In each case, the total charge remains the same. This is the law of conservation of charge. Conduction occurs when there is direct contact between materials that differ in their ability to give up or accept electrons.

Explanation:

Answer:

Charge transfer by Conduction

Charge transfer by conduction using a negatively charged object.

Charge transfer by conduction using a positively charged object.

Charge transfer by induction using a positively charged object.

Explanation:

Answer:

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 3.75 g

volume = final volume of water - initial volume of water

volume = 28 - 25 = 3 mL

We have

[tex]density = \frac{3.75}{3} \\ [/tex]

We have the final answer as

Hope this helps you

When a car accelerates from 15 m/s to 60 m/s in 30 seconds, the acceleration of the car is 1 meter/second².

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Given parameters:

Initial speed: u = 15 m/s.

Final speed: v = 60 m/s.

Time interval: t = 30 seconds.

Then, according to definition of acceleration,

Acceleration of the car = change in speed/ time interval

= ( final speed - initial speed)/time interval

= ( 60 m/s - 30 m/s)/30 seconds

= 1 meter/second²

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Answer:

The frequency of the wave will be 53.85 Hz

Explanation:

to determine our answer, we can use the following formula "Speed = Wavelength x Frequency."

Speed = 280 m/s

wavelength = 5.2 meters

frequency = ?

meaning, 280 m/s=5.2 times x

divide each side by 5.2

x=700/13 or 53 11/13, or x=53.85

Answer:

Air does, in fact, have weight, and here's a simple way you can prove it. You'll need two identical balloons, a string, and a dowel. Attach the uninflated balloons to either end of the dowel. Attach the string to the center of the dowel and then hang it from something.

Explanation:

Answer:

Vf = ≈56.436 m/s

Explanation:

We'll need to use the equation:

Vf^2 = Vi^2 + 2aΔx

Plugging in what we know, we get:

Vf^2 = (0)^2 + 2(4.55)(350)

Finally, some algebra:

Vf^2 = 3185

Vf = ≈56.436

Answer:

here is an example

try to solve by this

→

x

=

126

∠

10

,

28

∘

m

Explanation:

Drawing the sketch and filling in all the data, we observe that it is a closed triangle where the cosine rule is valid to find the required side for the magnitude of the displacement.

This yields :

x

2

=

85

2

+

45

2

−

2

(

85

)

(

45

)

cos

150

∘

Solving we get  

x

=

126

m

Then to find the direction of the displacement, we may use the sine rule or the cosine rule in the same triangle to yield that the angle of displacement from the horizontal is  

10

,

28

∘

.

Answer:

The 2nd option

Explanation:

It slows down the transfer of thermal energy from inside to outside the coat.

Answer: It slows down the transfer of thermal energy from inside to outside the coat.

Explanation: In other words, it insulates the heat/coldness

The error in the biceps force is determined from the ratio of the precision of the mass measurement and actual mass measurement.

The error obtained in the measurement of the bicep force is determined from the precision measurement of the masses, since the product of mass and acceleration gives the force applied to the biceps.

F = ma = mg

where;

Error percent = (precision/measured mass) x 100%

Error percent = (0.1/50) x 100% = 0.2%

Error percent = (0.1/100) x 100% = 0.1%

Error percent = (0.1/200) x 100% = 0.05%

Error percent = (0.1/500) x 100% = 0.02%

Thus, the error in the biceps force is determined from the ratio of the precision of the mass measurement and actual mass measurement.

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