45. 3. (III) A 7.26 kg bowling ball hangs from the end of a 2.5 m rope. The ball is pulled back until the rope makes an angle of 45 with the vertical. a. What is the increase in the ball’s potential energy when it is lifted? b. If the ball is released from rest and swings downward like a pendulum, how much kinetic energy will the ball have at the bottom of its swing? c. How fast will the ball be moving at the bottom of its swing?

Answer:

It takes the rock t = 3.98 seconds to reach 3 meters from ground level

Explanation:

We need to set the kinematic equation for the vertical position of this motion in one direction with the zero (reference level) at ground level. So, the initial position of the rock is at positive 25 meters, and we need to find the time it takes to reach positive 3 meters.

Recall as well that the only acting acceleration is that due to gravity (g = 9.8 m/s^2) opposed to the object's initial velocity (Vi = 14 m/s). Then the position equation becomes:

\(y_f=y_i+v_i\,t-\frac{1}{2} \,9.8 \,t^2\\3 = 25 + 14\,t-4.9\,t^2\\4.9\,t^2-14\,t-22=0\)

and we need to solve for "t" using the quadratic formula:

\(t=\frac{14+/-\sqrt{(-14)^2-4\,(4.9)(-22)} }{9.8} \\t=3.984 \,\,\,\, or\,\,\,\, t=-1.127\)

Since we are looking for a positive value for time, starting when the rock is launched, we select the positive answer, which should come in seconds:

t = 3.98 seconds

(rounded to two decimals as requested)

Answer:

It takes the rock t = 3.98 seconds to reach 3 meters from ground level

Explanation:

The force exerted by the radiation on the surface can be found using the formula F = P/c, where c is the speed of light in m/s. In this specific case, the force is approximately 3.3 x 10^-10 N.

To calculate the force of the radiation on the surface, we first need to find the total power (P) that falls on the surface. Power is the rate at which energy is transferred, and is given by the formula:

P = I x A

where I is the intensity of the light in watts per square meter (W/m2) and A is the area of the surface in square meters (m2).

In this case, the intensity is given as 1 kW/m2, or 1000 W/m2 (since 1 kW = 1000 W). The area is given as 1 cm2, or 0.0001 m2 (since 1 m2 = 10,000 cm2).

So, we have:

P = I x A = 1000 W/m2 x 0.0001 m2 = 0.1 W

Next, we need to find the force (F) exerted by the radiation on the surface. This can be done using the formula:

F = P/c

where c is the speed of light, which is approximately 3 x 108 meters per second (m/s).

Substituting the values we have:

F = P/c = 0.1 W / 3 x 108 m/s = 3.3 x 10^-10 N

Therefore, the force of the radiation on the surface is approximately 3.3 x 10^-10 N.

In summary, the long answer is that the force of the radiation on the surface is found by first calculating the total power that falls on the surface using the formula P = I x A, where I is the intensity of the light in W/m2 and A is the area of the surface in m2. Next, the force exerted by the radiation on the surface can be found using the formula F = P/c, where c is the speed of light in m/s. In this specific case, the force is approximately 3.3 x 10^-10 N.

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Answer:

4.44m/s

Explanation:

Average speed is the total distance covered within a given period of time.

From the quantities given;

Number of laps  = 4 laps

Length of each lap  = 400m

Time taken to complete race  = 6minutes

Unknown:

Average speed  = ?

Solution:

 Her average speed is given as:

      Average speed  = \(\frac{number of laps x length of lap}{time}\)

We need to convert time to seconds;

         60s  = 1 min;

        6 minute = 60 x 6  = 360s

  Average speed  = \(\frac{4 x 400}{360}\)   = 4.44m/s

(a) The initial temperature is 373.95 K.

(b) The final temperature is 546.15 K.

(c) The total internal energy change of the fluid during this process is 515.4 kJ.

(d) The process can be represented as an isochoric heating process on the P-v diagram and as an isobaric expansion process on the T-v diagram.

(a) To find the initial temperature, we can use the saturated steam tables. At a pressure of 200 kPa, the corresponding saturation temperature is 373.95 K.

(b) Since the volume doubles, the process is an isochoric (constant volume) heating process. Using the ideal gas law, we can determine the final temperature. The initial and final volumes are related by the equation V_final = 2V_initial. Since the mass remains constant, the specific volume (v) is inversely proportional to the density (ρ). Therefore, ρ_final = ρ_initial/2. Using the ideal gas law, we can calculate the final temperature to be 546.15 K.

(c) The total internal energy change can be calculated using the equation ΔU = mC_vΔT, where m is the mass of the fluid and C_v is the specific heat at constant volume. Given the mass as 0.5 kg, the specific heat of water at constant volume, and the temperature change, we can find that the total internal energy change is 515.4 kJ.

(d) On the P-v diagram, the process is represented as a vertical line at 200 kPa, indicating constant pressure. On the T-v diagram, the process is shown as an upward-sloping line, indicating an isobaric expansion process. The initial state is represented as a point on the left, and the final state is represented as a point on the right. The path between the initial and final states is a straight line connecting these two points.

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Answer: \(N43.2\)

Explanation:

Given

Power consumption of bulb and water are \(60\ W\) and \(240\ W\)

If the Devices are on for four hours

Total power of devices \(60+240=300\ W\)

Energy consumed for 4 hours is

\(\Rightarrow 300\times 4=1200 Wh\\\Rightarrow 1.2\ kWh\)

For 30 days it is \(1.2\times 30=36\ kWh\)

Cost for 30 days \(36\times 1.2=43.2\ N\)

Answer:

Explanation:

The kinetic energy of an object can be found by using the formula

\(k = \frac{1}{2} m {v}^{2} \\ \)

m is the mass

v is the velocity

From the question we have

\(k = \frac{1}{2} \times 2.55 \times {3.81}^{2} \\ = 1.275 \times 14.5161 \\ = 18.5080275\)

We have the final answer as

Hope this helps you

Answer:

below

Explanation:

According to Newtons Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Answer:

120km

Explanation:

Answer:

because sound needs medium to transmit.

The sound is produced by vibration and if there is no medium there is no vibration and no vibration means no sound.

Answer:

can u make the picture less blurry pls

Explanation:

Answer:

B

Explanation:

Answer:

The main function of the circulatory system is to carry nutrients to cells and waste away from cells.

Explanation:

Answer:

Her linear velocity (speed) is approximately 2.2 m/sec

Her angular velocity is approximately 1.26 rad/second

Explanation:

The given parameters are;

The diameter of the merry-go-round, d = 3.5 m

The number of revolutions she travels per minute = 12 revolutions per minute

Therefore, we have;

The distance she travels in one revolution =  π·d = π × 3.5 m

The distance of the twelve revolutions  = 12 × π × 3.5 m

The time she takes for the 12 revolutions = 1 minute = 60 seconds

Therefore, her speed = 12 × π × 3.5 m/(60 seconds)  ≈ 2.2 m/sec

Her angular velocity = Angle covered/Time = 12 × 2 × π/60 ≈ 1.26 rad/second.

Answer:

See the explanation below.

Explanation:

To solve this problem we must apply Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration and this force can be calculated by means of the following equation.

F = m*a

where:

F = force [N] (units of Newtons)

m = mass [kg]

a = acceleration [m/s²]

The mass of the tennis ball will always be the same therefore it will never change.

Now clearing a:

\(a=\frac{F}{m}\)

If the mass of the ball remains the same:

\(a = \frac{100}{m} ; a = \frac{200}{m};a =\frac{300}{m}\)

We see that for a force of 300 [N], the acceleration exerted on the ball must be greater. Therefore with the force of 300 [N] the greatest acceleration is achieved.

Answer:

A table of motion (for a moving object) usually is something like:

Time I Position:

0s           1m

1s            3m

2s           5m

etc...

Where time is the independent variable and position represents the position of the object at that given time.

We can think in these points as coordinate pairs, for example, we can wrote these 3 pairs as:

(0s, 1m)

(1s, 3m)

(2s, 5m)

Now that we have these points, we can go to a coordinate plane and find these points

(The time would be on the horizontal axis, and position in the vertical axis)

Once you found the points, to complete the graph you need to find a line that connects the points.

An example of this is shown below, where the points used are the ones above, and the line should be straight.

Answer:

r = 1.999m

Explanation:

E = kq/r²

10 = 9*10^9*q/1²

q = 10/9*10^9

q = 1.11*10^-9

then at what distance

r² = kq/E

r² = 9*10^9*1.11*10^-9/2.5

r² = 9.99/2.5

r² = 3.996

r = √3.996

r = 1.999m

Answer:

I Believe the answer is

\(D. \: \: atmosphere\)

Explanation:

I hope how this helps!

The product of the magnitudes of the charges and the square of the distance between them determines the magnitude of the electrostatic force F between two point charges, q1 and q2, and vice versa.

The magnetic field B and the charge q's velocity v are both perpendicular to the force. F = qvB sin, where is the angle of 180 degrees between the velocity and magnetic field, gives the force's magnitude.

The product of the magnitudes of the charges and the square of the distance between them determines the magnitude of the electrostatic force F between two point charges, q1 and q2, and vice versa.

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One joule per coulomb is a unit of energy. It is also known as voltage. Joules are units of energy, and coulombs are units of charge. So, the joule per coulomb (J/C) is used to measure voltage.

Voltage is the measure of the electrical force that drives the flow of current through a conductor. When a conductor is subjected to a voltage, an electrical current flows. Voltage is the term used to describe this force, which is measured in volts.Power is a measure of energy over time. It is measured in watts, which is equivalent to joules per second.

Resistance is the property of a material that opposes the flow of electrical current, causing it to lose energy in the form of heat. Resistance is measured in ohms.Current is the flow of electrical charge through a conductor. It is measured in amperes, or amps. The amount of current that flows through a conductor is determined by the voltage applied to it and the resistance of the conductor.

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The speed of light in fused quartz is approximately 205,440,706 meters per second.

The speed of light in a medium is given by the equation v = c/n, where v is the speed of light in the medium, c is the speed of light in vacuum, and n is the refractive index of the material.

In the case of fused quartz with a refractive index of 1.46, the speed of light in this material can be calculated as v = c/1.46.

Since the speed of light in vacuum is approximately 299,792,458 meters per second, dividing this value by 1.46 gives us the speed of light in fused quartz.

The speed of light in fused quartz is approximately 205,440,706 meters per second.

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(i) Switch k1 is closed:

The current passing through the circuit is:  0.25 amps

R_total = R1 + R2 = 3 + 5 = 8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / 8 = 0.25 amps

(ii) Switches k1 and k2 are closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R1 + 1/(R2 + R3) = 1/3 + 1/(5 + 0) = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

(iii) Switch k1 is open and k2 is closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R2 + 1/(R1 + R3) = 1/5 + 1/(3 + 0) = 1/5 + 1/3 = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

So the current passing through the circuit depends on which switches are closed, and can range from 0.25 amps to 1.07 amps.

What is current?

Crrent refers to the flow of electric charge through a conductor, such as a wire. It is measured in amperes (A) and is defined as the rate at which electric charge flows past a given point in a circuit. current is caused by the movement of charged particles, such as electrons or ions, through a conductor.

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The phrase that describes the composition of the outer planets is 'are gaseous'. That is option A.

A planet is defined as the astronomical object that has enough gravity that causes it to revolve round about the sun.

There are various types of planet and they include the following:

Each planet is made up of and inner and outer geographical environment which in turn bears various unique characteristics.Most outer planets are made up of gaseous contents.

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Answer:

y = 33.93 10⁵ m

Explanation:

This is an interference exercise, for the contributory interference is described by the expression

           d sin θ = m λ

let's use trigonometry for the angle

           tan θ = y / L

how the angles are small

          tan θ = sin θ / cos tea = sin θ

we substitute

         sin θ = y / L

        d y / L = m λ

         y = m λ L / d

the light fulfills the relation of the waves

       c = λ f

       λ = c / f

       λ = 3 10⁸ /375

       λ = 8 10⁵ m

first order m = 1

let's calculate

        y = 1  8 10⁵  4030 10-9 / 950 10-9

        y = 33.93 10⁵ m

It will form igneous rocks.

The correct response is therefore option D, "form igneous rocks."

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Answer:

The thermosphere experiences a temperature increase primarily due to the absorption of gamma-rays and X-rays.

When the mass on the block was increased, the angle of repose also increased.

This is because the gravitational force acting on the block also increased, causing it to require a steeper angle to maintain equilibrium.

Additionally, the increased mass also increased the amount of friction between the block and the surface it was resting on, further contributing to the increase in angle of repose.

These results were expected, as the angle of repose is directly influenced by the mass of the block and the friction between the block and the surface it is resting on.

This is because the angle of repose represents the maximum angle at which a block can rest without sliding down the surface.

Therefore, as the mass and friction increase, the angle of repose must also increase to maintain stability.

It is important to note that the angle of repose is also influenced by other factors, such as the shape and size of the block and the surface it is resting on.

Therefore, further experimentation and analysis may be required to fully understand the relationship between these variables and the angle of repose.

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Letter A is the plane surface

Letter B is the incident ray

Letter C is the reflected ray.

The terms of the ray diagram is illustrated as follows;

(i) This arrow indicates the incident ray, which is known as the incoming ray.

(ii) This arrow indicates the normal, a perpendicular line to the plane of incidence.

(iii) This arrow indicates the reflected ray; the out going arrow.

(iv) This the angle of incident or incident angle.

(v) This is the reflected angle or angle of reflection.

Thus, based on the given letters, we can match them as follows;

Letter A is the plane surface (surface containing the incident, reflected rays)

Letter B is the incident ray

Letter C is the reflected ray.

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Answer:

Movement of a magnet relative to a coil produces emfs as shown. The same emfs are produced if the coil is moved relative to the magnet. The greater the speed, the greater the magnitude of the emf, and the emf is zero when there is no motion.

Hope this helps!