The figure below shows a ball resting on a frictionless track at position A.

The ball has a mass of 20 kg and is released from position A, the acceleration due to gravity is 9.8 m/s. How much kinetic energy will the ball have at position B?

Answer:

The speed of the particle is proportional to:

c. t²

Explanation:

Given;

initial velocity of the particle, u = 0

let the net force on the object = F

Work done on the particle is given by;

W = F x d

W ∝ t

\(Fd \ \alpha \ t\\\\\frac{mv}{t}d \ \ \alpha \ t\\\\mvd \ \ \alpha \ t^2\\\\v \ \ \alpha \ t^2\)

Therefore, the speed of the particle is proportional to t²

The speed of the particle is proportional to t.

It should be noted that work is a change in kinetic energy. Therefore, power will be calculated as:

Power = Work / Time = force × velocity

Power is proportional to t. Since force is a constant, then the velocity will be proportional to t. Therefore, the speed of the particle is proportional to t.

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Answer:

Wavelength = 0.15 m

Explanation:

The frequency of a microwave oven is 2.00 GHz or \(2\times 10^9\ Hz\).

We need to find the wavelength of the radiation produced by this appliance. We know that the relationship between the frequency and wavelength is given by :

\(c=f\lambda\)

Where,

\(\lambda\) is the wavelength

So,

\(\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{2\times 10^9}\\\\=0.15\ m\)

So, the wavelength of the radiation produced by this appliance is 0.15 m.

The radius of gyration of a molecule can be determined using scientific tools.

what are the methods to measure the molecular weight ?

Molecules are not simple forms; unlike the reasonably obedient, mathematically uncomplicated atom, which is spherical, molecules are challenging to characterise as basic shapes. As a result, two measures have established industry standards: the radius of gyration and the hydrodynamic radius, and analytical tools are designed to acquire these.

GYRATION RADIUS

The radius of gyration of a molecule can be determined using scientific tools. It is measured directly using static light scattering; however, this approach has difficulties for sizes less than 10-15nm, as well as for big molecules such as polysaccharides. Viscometers are the most often used instrument for calculating radius of gyration using the Flory-Fox equation.

HYDRODYNAMIC RADIUS

This is a behavioural attribute of a material - a size measurement based on how it moves - which makes it far more helpful in industrial or practical situations.

It is measured directly using static light scattering; however, this approach has difficulties for sizes less than 10-15nm, as well as for big molecules such as polysaccharides.

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Answer:

0.036m

Explanation:

Given parameters:

Frequency  = 40000Hz

Speed  = 1450m/s

Unknown:

Wavelength = ?

Solution:

To solve this problem, we use the wave velocity equation:

            V  = F ∧  

V is the velocity

F is the frequency

∧ is the wavelength

  Now insert the parameters and solve;

             1450  = 40000 x ∧

                 ∧ = 0.036m

The tension force T1 in the horizontal direction is mg sinθ, for the angle of zero, the tension force becomes zero. The tension force T2 is mgcosθ, for an angle of 30.1 the force is 63 N.

Tension force is a kind of force acting on object if it experience a force from a suspended mass on it. It is a vector quantity and having both direction and magnitude.

The horizontal tension force = mg sin θ

and the vertical or diagonal tension = mg cos θ

given mass suspended m = 25.5 kg.

Then, horizontal tension force T1 = 25.5 kg ×9.8 m/s²× sin 0 = 0

(sin 0 = 0)

The tension force T2 = mg cos θ

T2 = 25.5 kg ×9.8 m/s²× cos 30.1 = 63 N.

Therefore, tension force on cable 1 is zero and that on cable 2 is 63 N.

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The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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Answer:      780080

Explanation: BY FORMULA OF K.E

                           K.E=  1/2 MV^2

                                 =  1/2 (1990)(28)^2

                                 =   780080 JOULE

Answer:

138 km

Explanation:

Answer:

the mug will moveforwards

Graphs can help to demonstrate the qualitative relationship between a set of data by identifying patterns among these data.

Graphs can allow readers to identify a lot of information among a set of data. The most common information to be evaluated through the graphs is the existence of patterns between the data.

For example, a line graph can show the change in a variable over time, allowing readers to see if there is a consistent increase or decrease.

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                                    ...................

The part of a road vehicle which must be tested to ensure that there is sufficient friction to stop the vehicle in an emergency is the tyre.

This is referred to as a force that resists the motion of one object against another when they roll or slide against each other.

When dealing with braking, the main factor is to have sufficient friction between the road surface and tyre to bring the vehicle to a standstill. If the tyres are wornout there won't be enough friction to make the vehicle stop during emergencies which is therefore the reason why it was chosen as the correct choice.

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Answer:

Electromagnetic waves carry energy.

Explanation:

The waves consist of transverse vibrations in electrical and magnetic fields, not vibrating particles.

The momentum of the zombie is 535.3 kg m/s.

Momentum is a fundamental concept in physics that describes the amount of motion that an object has. It is defined as the product of an object's mass and its velocity.

Here,

The momentum (p) of an object is defined as the product of its mass (m) and velocity (v)

p = m * v

In this case, the mass of the zombie is 101 kg and its velocity is 5.3 m/s. So, the momentum of the zombie can be calculated as:

p = 101 kg * 5.3 m/s

p = 535.3 kg m/s

Therefore, the momentum of the zombie is 535.3 kg m/s.

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Answer:

conduction is the correct answer

The energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball is due to the changes in shape results in deformation of the ball that converts kinetic energy from the racquet into elastic potential energy in the ball.

When a ball strikes a racquet, the kinetic force of racquet causes the ball to compress, which results in a change in its shape and the energy is transferred from the racquet to the ball, and the work done by the racquet on the ball increases the potential energy stored in the compressed ball, and the ball bounces.

Hence, changes in shape results in deformation of the ball and converts kinetic energy present in the racquet to elastic potential energy in the ball and bounces it.

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The question is incomplete, the complete question is here

State the energy transfer that takes place as the ball changes shape during the contact between the racquet and the ball.

Answer:

The temperature of the metal is  \(T_m = 376.8 ^o C\)

Explanation:

From the question we are told that

     The mass of the metal is  \(M = 60 \ kg\)

     The specific heat of the metal is  \(c_p = 0.1027 kcal/(kg \cdot ^oC)\)

       The mass of the oil is \(M_o = 810 \ kg\)

       The temperature of the oil is  \(T_o = 35^oC\)

       The specific heat of oil is  \(c_o = 0.7167 kcal/(kg \cdot ^oC )\)

       The equilibrium temperature is \(T_e = 39 ^oC\)

According to the law of energy conservation

     Heat lost by metal  =  heat gained by the oil

So  

   The quantity  of heat lost by the metal is mathematically represented as

               \(Q = - Mc_p \Delta T\)

=>            \(Q = -Mc_p (T_m - T_c)\)

Where \(T_ m\)  the temperature of metal before immersion

The negative sign show heat lost

The quantity  of gained t by the metal is mathematically represented as      

           \(Q = M_o c_o \Delta T\)

=>        \(Q = M_o c_o (T_c - T_o)\)

So  

         \(Mc_p (T_m - T_c) = M_o c_o (T_c - T_o)\)

substituting values

          \(- 60 * 0.1027 (T_m - 39) = 810 * 0.7167 * (39 - 35)\)

=>       \(T_m = 376.8 ^o C\)

The time taken by the car to stop will be 4.53 seconds. The final velocity is zero and the initial velocity will be 86.08 ft./s.

Velocity is a vector quantity which measures distance covered per unit time. It is given that the acceleration of the car a is  19 ft/s². The distance it covered is 195 ft.

We have the expression for final velocity v initial velocity u and the time t with acceleration a as follows where the final velocity v for the car is zero.

0 = U -  at

u = at.

The relation between time, acceleration and initial velocity with distance d is written as:

d = u t - 1/2 at²

  =  at²  -1/2 at²

  = 1/2 at²

Thus, t = √(2d/a)

            = √(2×195 ft / 19 ft/s²)  

            = 4.53 s.

Initial velocity u = a t

                          = 4.53 s ×19 ft/s²

                          = 86.08 ft./s

Therefore, the initial velocity will be 86.08 ft./s.

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To find the magnitude of the velocity, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side (c) is equal to the sum of the squares of the other two sides (a and b), minus twice the product of the two sides (a and b) multiplied by the cosine of the included angle (θ).

In this case, we have a triangle with sides a, b, and c, and angles θ1 and θ2.

Given:

Sum of velocities (c) = 4.5 m/s

Angle θ1 = 32.4°

Angle θ2 = 22.4°

We can write the equation for the law of cosines as follows:

c² = a² + b² - 2ab * cos(θ)

We want to find the magnitude of the velocity, which is equivalent to the length of side c.

Plugging in the given values, we have:

(4.5 m/s)² = a² + b² - 2ab * cos(θ)

Simplifying and rearranging the equation, we have:

a² + b² - 2ab * cos(θ) = 20.25

Now, we need to find the values of a and b. We can use trigonometric relationships to express a and b in terms of the given angles and the magnitude of the velocity.

a = c * cos(θ1)

b = c * cos(θ2)

Plugging in the given values, we have:

a = 4.5 m/s * cos(32.4°)

b = 4.5 m/s * cos(22.4°)

Now, substitute the values of a and b back into the rearranged equation:

(4.5 m/s * cos(32.4°))² + (4.5 m/s * cos(22.4°))² - 2 * (4.5 m/s * cos(32.4°)) * (4.5 m/s * cos(22.4°)) * cos(θ) = 20.25

Simplify the equation and solve for cos(θ):

cos(θ) = (20.25 - (4.5 m/s * cos(32.4°))² - (4.5 m/s * cos(22.4°))²) / (2 * (4.5 m/s * cos(32.4°)) * (4.5 m/s * cos(22.4°)))

Calculate the value of cos(θ) using a calculator.

Finally, calculate the magnitude of the velocity by taking the square root of both sides of the equation:

velocity = √(a² + b² - 2ab * cos(θ))

Evaluate the expression to find the numeric value of the magnitude of velocity in meters per second.

The portion that shows a decreasing velocity is  D to E.

The position time graph is used to describe the motion of a body. We know that the slope of a velocity time graph is the velocity of the graph.

If we look at the graph as shown in the image attached to the answer, we can see that the portion that shows a decreasing velocity is  D to E.

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Answer:

D - E

Explanation:

hope this help

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This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.

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Answer: 3 s

Explanation:

i took the test in physics :)

The time taken by the wave to travel the distance is 3 seconds.

What is meant by frequency of a wave ?

Frequency of a wave is defined as the number of oscillations or cycles completed by the wave within one second.

Here,

Distance travelled by the wave, d = 600 m

Wavelength of the wave, λ = 0.4 m

Frequency of the wave, f = 500 Hz

The expression for the velocity of the wave is given by,

v = fλ

v = 500 x 0.4

v = 200 m/s

Therefore, the time taken by the wave to travel the distance of 600 m can be given as,

Time taken = displacement/velocity

So,

t = d/v

t = 600/200

t = 3 s

Hence,

The time taken by the wave to travel the distance is 3 seconds.

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1. The electron experiences acceleration and moves independently in the y-direction.

2. The y-component of the electron's displacement after 2.40 μs in the electric field is -8.11 μm.

3.  The x-component of displacement remains zero.

To calculate the y-component and x-component of the electron's displacement, we need to consider the motion of the electron in the electric field. Let's break it down step by step:

1. Acceleration of the Electron:

The electric field causes a force on the electron given by the equation: F = qE, where F is the force, q is the charge of the electron, and E is the electric field.

Since the charge of an electron is -1.6 × \(10^-^1^9\) C, and the electric field is 201 N/C, we can calculate the force:

F = (-1.6 × \(10^-^1^9\)C) * (201 N/C)

  = -3.216 × \(10^-^1^7\) N

Using Newton's second law, F = ma, we can find the acceleration (a) of the electron:

a = F / m

  = (-3.216 × \(10^-^1^7\) N) / (9.109 ×\(10^-^3^1\) kg)

  = -3.530 × \(10^1^3 m/s^2\)

2. Displacement in the y-direction:

Since no other forces act on the electron, its motion in the y-direction is independent of the electric field. The equation for displacement (y) under constant acceleration is:

y = (1/2) * a *\(t^2\)

Substituting the values, where the time (t) is 2.40 μs (2.40 ×\(10^-^6\) s), we can calculate the y-component of displacement:

y = (1/2) * (-3.530 ×\(10^1^3 m/s^2\)) * (2.40 ×\(10^-^6 s)^2\)

  = -8.11 μm

Therefore, the y-component of the electron's displacement 2.40 μs after entering the electric-field region is -8.11 μm.

3. Displacement in the x-direction:

Since the electron's velocity is only in the y-direction initially, the x-component of the displacement remains zero. Without any forces acting in the x-direction, the electron continues to move in the y-direction without changing its x-position.

Hence, the x-component of the electron's displacement 2.40 μs after entering the electric-field region is 0 meters.

Please note that the calculations provided are based on the given values and the provided formulas for displacement and acceleration.

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The lowest possible frequency at which a string could vibrate to form a standing wave pattern is known as the fundamental frequency or the first harmonic. The second lowest frequency at which a string could vibrate is known as the second harmonic; the third lowest frequency is known as the third harmonic; and so on.

Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.

Answer: They are both going at the same speed

Explanation: The problem states they are driving at the same speed of 12.5 km/h.

Answer:

The first flashlight,

P = 7.5 W

The second flashlight,

P = 18.75 W

Explanation:

P = VI.................. Equation 1

Where P = Power, V = Voltage, I = current.

For the first flashlight,

Given: I = 2.5 A, and V = 1.5×2 (The first uses two battery in chain) = 3 V

Substitute into equation 1

P = 3(2.5)

P = 7.5 W.

For the second flash light,

P = VI

Given: I = 2.5 A, V = 1.5×5 ( The second uses five batteries in a chain) = 7.5 V

Substitute into equation 1

P = 2.5(7.5)

P = 18.75 W.