what were the difficulties ​

Answer:

option c they are the same

Explanation:

The wall will receive equal momentum from both the balls because both balls have equal mass and velocity

The horizontal components of the velocity be equal to zero and the vertical component will be 29.4 m/s

The velocity of any object acting under gravity is in respect to only vertical component of the velocity.

Given that a freely falling object that is dropped accelerates uniformly. After 3 seconds, the horizontal components of the velocity be equal to zero since gravity only act on the vertical component of the velocity.

While the vertical component will be

v = u + gt

u = 0 since it is starting from rest

v = 9.8 × 3

v = 29.4 m/s

Therefore, the horizontal components of the velocity be equal to zero and the vertical component will be 29.4 m/s

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The given ansatz, D(x,t) = f(x - v t) + g(x + v t), where f and g are arbitrary smooth functions, is a solution to the general wave equation.

The general wave equation is given by ∂²D/∂t² = v²∂²D/∂x², where ∂²D/∂t² represents the second partial derivative of D with respect to time, and ∂²D/∂x² represents the second partial derivative of D with respect to x.

Let's start by computing the partial derivatives of the ansatz with respect to time and position:

∂D/∂t = -v(f'(x - vt)) + v(g'(x + vt))

∂²D/∂t² = v²(f''(x - vt)) + v²(g''(x + vt))

∂D/∂x = f'(x - vt) + g'(x + vt)

∂²D/∂x² = f''(x - vt) + g''(x + vt)

Substituting these derivatives back into the general wave equation, we have:

v²(f''(x - vt) + g''(x + vt)) = v²(f''(x - vt) + g''(x + vt))

As we can see, the equation holds true. Therefore, the ansatz D(x, t) = f(x - vt) + g(x + vt) is indeed a solution to the general wave equation.

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Answer:

D. Combustion and subsequent gas expansion will not occur.

Explanation:

I got it right on the test.

If the spark plug on a heat engine is not functioning properly, combustion and subsequent gas expansion will not occur.

Heat engines refer to those engines that function via the combustion of a fuel.  This fuel is burnt in a combustion chamber and the energy generated enables the system to work.

The function of the spark plug is to create the explosion which makes the engine produce power. If the spark plug on a heat engine is not functioning properly, combustion and subsequent gas expansion will not occur.

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The statement "salt water is more dense than fresh water" is true. Since saltwater is denser than freshwater, a ship will displace less saltwater than freshwater, meaning the answer is b) less than the volume of fresh water.

The density of saltwater is higher than that of freshwater because it contains salt ions, which occupy space and add to its mass. As a result, when a boat or any other object floats in saltwater, it displaces less water than it would in freshwater. As a result, a ship floats higher in saltwater than it does in freshwater because the denser saltwater can support its weight with less volume displaced.

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The frequency of blue light in hertz is d.) 7.5 x 1014.

What is frequency of a light and how is it calculated?

The electromagnetic radiation differs from other radiations through frequency of that wave. Light is one of the forms of electromagnetic radiations. A hertz is said to be the number of oscillations in one second. For a wave, hertz is the number of wavelengths per second. All types of light travels at a same speed irrespective of their frequency.

The equation that relates frequency and wavelength is:

c= fλ

where, c= speed of light

λ = wavelength in meters

f= frequency in hertz

c= 3×10 8 m/s

λ = 4.0 x 10 -7 meters.

f=c/λ

  ⇒3×10 8 /  4.0 x 10 -7

   ⇒7.5 x 1014 Hz.

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When a tube with one end closed and the other end open is excited, standing waves are formed within the tube. The fundamental frequency is the lowest frequency at which the standing waves are formed, and it is determined by the length of the tube.

If the cap is removed from the closed end of the tube, the end becomes open, and the length of the tube changes. The new fundamental frequency can be determined using the following formula:

f_new = (v / 2L)

where v is the speed of sound and L is the new length of the tube. Since the cap was on the closed end, the length of the tube is equal to half of the wavelength of the fundamental frequency.

Let's denote the original length of the tube as L0, and the new length of the tube as L1. The relationship between L0 and L1 can be expressed as:

L1 = 3/4 * L0

This is because the open end of the tube acts as a pressure node, and removing the cap creates an additional pressure node at a distance of one-quarter of a wavelength from the open end.

Substituting L1 into the formula for the new fundamental frequency, we get:

f_new = (v / 2L1) = (v / 2 * 3/4 * L0) = (2/3) * (v / 2L0)

Since the original fundamental frequency was 129.6 Hz, which is the frequency when the tube was closed, we can use it to solve for the original length of the tube L0:

f0 = (v / 4L0)

L0 = (v / 4f0) = (343 m/s) / (4 * 129.6 Hz) = 0.6608 m

Substituting L0 and f0 into the formula for the new fundamental frequency, we get:

f_new = (2/3) * f0 = (2/3) * 129.6 Hz = 86.4 Hz

Therefore, the new fundamental frequency of the tube, with the cap removed, is 86.4 Hz

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In this case,  a skater can experience without breaking a bone (4,500 N), a bone will not break in this collision.

We can use conservation of momentum to calculate velocity of  skaters after  collision:

\((m1 * v1) + (m2 * v2) = (m1 + m2) * vf\)

Plugging in the values, we get:

\((75.0 kg * 10.0 m/s) + (75.0 kg * 0 m/s) = (75.0 kg + 75.0 kg) * 5.00 m/s \\750.0 kgm/s = 750.0 kgm/s\)

Therefore, the velocity after collision is 5.00 m/s.

We can use the impulse-momentum theorem:

J = Δp = F * Δt

Δp = (m1 + m2) * vf - (m1 * v1 + m2 * v2)

\(= (75.0 kg + 75.0 kg) * 5.00 m/s - (75.0 kg * 10.0 m/s + 75.0 kg * 0 m/s) \\= 750.0 kgm/s - 750.0 kgm/s \\= 0 kg*m/s\)

Thus, the force exerted on the skaters during the collision is:

F = J / Δt

= 0 / 0.100 s

= 0 N

Since the force exerted on the skaters during the collision is zero, a skater can experience without breaking a bone.

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The tensions in the two cords are: T1 = m(a + g) upward T2 = m(a + g) upward. If the acceleration is increased until one cord breaks, it will be the lower cord that breaks.  In this case, the tension in each cord would be: T1 = m(g + a) downward T2 = m(g + a) downward.

a. The tensions in the two cords can be found using Newton's second law, which states that the net force on an object is equal to its mass times its acceleration. In this case, each mass is subject to two forces: its weight (mg) pulling downward and the tension in the cord pulling upward. Since the elevator is accelerating upwards, the net force on each mass is (ma + mg) upward. Therefore, the tensions in the two cords are:

T1 = m(a + g) upward
T2 = m(a + g) upward

b. If the acceleration is increased until one cord breaks, it will be the lower cord that breaks. This is because the tension in the lower cord is supporting more weight (m*g) than the tension in the upper cord (which is only supporting the weight of the upper mass).

c. If the cable attached to the top of the elevator car snaps, both masses will fall with an acceleration of g. In this case, the tension in each cord would be:

T1 = m(g + a) downward
T2 = m(g + a) downward

Note that the tensions are now pointing downward because they are no longer supporting the weight of the masses, but instead are trying to slow their fall.

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Answer: 3.33 m

Explanation: 1/di + 1/do = 1/f = 2m , so 1/di = 1/2 - 1/5 = 3/10 so di = 10/3 or 3.33m

Given that

heat capacity of water = 4200

heat capacity of aluminium = 897

heat capacity of oil = 1900

heat capacity of gold = 129

Heat capacity is the amount of heat a material absorbs to increase its temperature by 1 degree Celsius.

So, larger the heat capacity of a material lower will be the temperature change.

If equal amount of energy is applied to the materials, then gold will have the greatest temperature change as its heat capacity is lowest than other materials.

Answer:

Total resistance = 96 Ohms

Explanation:

Given the following data;

Resistance = 12 Ohms

Number of resistors = 8

To find the total resistance;

Method I.

Since the resistors are connected in series, we would simply multiply the resistance by the number of resistors.

Total resistance = 12 * 8

Total resistance = 96 Ohms.

Method II.

We would add the resistance of all the eight resistors together.

Total resistance = 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12

Total resistance = 96 Ohms.

The total resistance of the circuit will be "96 Ω".

Resistance: The amount of resistance to current flow throughout an electrical circuit.

Current: The movement of electrical charge carriers such as electrons has been referred to as current. The flow of current seems to be from negative (-) to positively (+) locations.

According to the question,

Resistance = 12 Ω

No. of resistor = 8

The total resistance be:

= \(Resistance\times Number \ of \ resistors\)

By substituting the values,

= \(12\times 8\)

= \(96 \ \Omega\)

Thus the above answer is right.

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No, a lunar eclipse cannot be visible by the entire world at the same time.

This is because a lunar eclipse occurs when the Earth passes between the Sun and the Moon, casting a shadow on the Moon's surface. The visibility of a lunar eclipse depends on the location of the observer and the position of the Moon in the sky at the time of the eclipse.

A lunar eclipse is visible from the night side of the Earth, which means that the observer must be on the side of the Earth that is facing the Moon during the eclipse.

However, the Earth is a sphere, and only one half of it can face the Moon at any given time. This means that only half of the world can see a lunar eclipse when it occurs. Even for those in the hemisphere facing the Moon during a lunar eclipse, the visibility of the eclipse may be affected by factors such as the weather and the brightness of the Moon during the eclipse.

Therefore, a lunar eclipse is not visible by the entire world at the same time.

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Hydrogen absorbs energy when heated or when another form of energy is provided to it, which causes the electron to become excited that "jumps" to an orbit further from the nucleus.

Methane, widely known as natural gas, has a healthy substitute in hydrogen. According to estimates, it makes about 75% of the universe's mass and is the most prevalent chemical element. Huge quantities of hydrogen atoms are present on earth in water, plants, animals, and, of course, people.

The sun and the majority of stars include it, while Jupiter is primarily made of it. The most prevalent form of hydrogen on Earth is water. Or less 1 part a million by volume, it only exists as a gas in trace concentrations in the atmosphere.

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the answer to the question is D. Violet. In the spectrum of white light, the color that corresponds to the highest temperature is violet.

This is because the color of light that we see is directly related to the wavelength of the light, and the wavelength of violet light is the shortest of all visible colors.According to Wien's law, the wavelength of light emitted by an object is inversely proportional to its temperature. This means that the higher the temperature of an object, the shorter the wavelength of light it emits.Since violet light has the shortest wavelength of all visible colors, it corresponds to the highest temperature. Red light, on the other hand, has the longest wavelength and corresponds to the lowest temperature.

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(a) The unit-vector notation for a + b is 8.0 i^ + 2.0 j^. (b) The magnitude of a + b is 8.246 meters. (c) The angle of a + b relative to i^ is θ = 14.04°.(d) The unit-vector notation for b - a is (b - a) = 2.0 i^ - 6.0 j^. (e) The magnitude of b - a is 6.324 meters. (f) The angle of b - a relative to i^ is, θ = -71.57°

The unit-vector notation for a + b is,

\((a + b) = (3.0 + 5.0) \hat{i} + (4.0 - 2.0) \hat{j}\\(a + b) = 8.0 \hat{i} + 2.0 \hat{j}\)

The magnitude of a + b is,

|a + b| = √((8.0)^2 + (2.0)^2)

|a + b| = 8.246 meters

The angle of a + b relative to \(\hat{i}\) is:

θ = tan^(-1)(2.0 / 8.0)

θ = 14.04°

The unit-vector notation for b - a is:

\((b - a) = (5.0 - 3.0) \hat{i} + (-2.0 - 4.0)\hat{j}\\(b - a) = 2.0 \hat{i} - 6.0 \hat{i}\)

The magnitude of b - a is:

|b - a| = √((2.0)^2 + (-6.0)^2)

|b - a| = 6.324 meters

The angle of b - a relative to \(\hat{i}\) is:

θ = tan^(-1)(-6.0 / 2.0)

θ = -71.57°

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To solve this problem, we need to use the fact that the weight lifted by the hot-air balloon is equal to the weight of the air displaced by the balloon. We can use the following formula to find the volume of the balloon:

Volume of balloon = Weight lifted / Density difference between hot air and outside air * gravitational acceleration

We are given the weight lifted by the balloon, which is 6453 N. The density of the outside air is 1.205 kg/m^3, and the density of the hot air inside the balloon is 0.9671 kg/m^3. The gravitational acceleration is 9.81 m/s^2.

Substituting these values into the formula, we get:

Volume of balloon = 6453 N / (1.205 kg/m^3 - 0.9671 kg/m^3) * 9.81 m/s^2
Volume of balloon = 6453 N / 0.238 kg/m^3 * 9.81 m/s^2
Volume of balloon = 22131.633 m^3

Therefore, the volume of the balloon is 22131.633 m^3.

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The speed with which they threw the bundle is  14 m/s.

We know that the speed of the bundle can be obtained from the use of the equations of kinematics. Now we can use the equation of the upward motion under gravity here.

Using;

v^2 = u^2 - 2gh

v = final velocity

u = initial velocity

g = acceleration due to gravity

h = height

Now;

v = 0 m/s at the maximum height

u^2 = 2gh

We now have;

u = √2gh

u = √ 2 * 9.8 * 10

u = 14 m/s

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Answer:

800 N upward

Explanation:

In order for the man to be able to stand up in the chair, the force would have to be the same as his weight (800 N) pushing in the opposite direction. So, if he is pushing down by standing on it than the force, 800 N, would be pushing upwards.

To calculate the number of turns required for the generator to produce a peak output voltage of vpk = 100, we can use the formula:

vpk = 4.44 * n * b * f * A

Where:
- vpk = peak output voltage (in volts)
- n = number of turns
- b = magnetic field strength (in teslas)
- f = frequency (in hertz)
- A = area of the loop (in square meters)

First, we need to convert the dimensions of the loop from centimeters to meters:
- Length = 10 cm = 0.1 m
- Width = 10 cm = 0.1 m
- Area (A) = Length x Width = 0.1 m x 0.1 m = 0.01 m^2

We are given that the magnetic field strength (b) is constant and has a magnitude of 0.2 T, and the frequency (f) is 60 Hz. We are also given that the peak output voltage (vpk) is 100 V.

Substituting these values into the formula, we get:
100 = 4.44 * n * 0.2 * 60 * 0.01

Simplifying and solving for n, we get:
n = 375 turns

Therefore, the generator needs to have 375 turns in its square loop in order to produce a peak output voltage of 100 V when the electric company experiences a loss of power.

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Explanation:

The change in momentum from an force within the system.

A student could find the total mass of copper produced by using production data, use density and volume, use chemical analysis, or consult an expert.

We can use several methods to find total mass of copper produced:

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Answer:

FREQUENCY

Explanation:

Answer: C:frequency

the rate of the vibration is called frequency

Answer:

81

Explanation:

The problem here is to use the rules for significant figures in the multiplication below.

       67.6 x 1.2:

 This product will yield an answer that will produce the least number of significant figures.

   67.6 has 3 significant figures; 6, 7 and 6

    1.2 has 2 significant figures; 1 and 2

The product must give us an answer of two significant figures:

        67.6 x 1.2  = 81.12 to 2significant figures gives 81

The solution to this problem is 81

Answer:  (A) At terminal velocity ...

Explanation:

Answer:

8.49673 minutes ≈ 8.5 minutes

Explanation:

Acceleration, a is defined as the rate of change in velocity divided by the change in time to attain that velocity

\(\mathsf a = \dfrac{\Delta v}{\Delta t} \\\\\textsf {where } \mathsf {\Delta v = v-v_0} \textsf{ v being final velocity and v_0 initial velocity}\), v = final velocity and v₀ the initial velocity
and Δt is the time required to attain final velocity

Δt = number of seconds since launch = t since t₀ = 0

Therefore,
\(a = \dfrac{v-v_0}{t}\)

The space shuttle's initial velocity is 0 m/s and its final velocity must be 7800 m/s to escape earth's gravity

So v - v₀ = 7800 - 0 = 7800 m/s, t - t₀ = t = 0 = t seconds
a = 15.3 m/s²

We have the equation

a = 7800/t

a is given as 15.3 m/s² so
15.3 = 7800/t

t  = 7800/15.3 = 509.80392 seconds

To convert to minutes, divide by 60
509.80392/60 = 8.49673 minutes ≈ 8.5 minutes

The work that has been done by the Korbel is  4.41kJ.

We have to note that we define work in physics as the product of the force and the distance. In the case of the chair in the question, we have been told that Korbel pushes a 15 kg chair for a distance of 30 meters.

The force in this case would be the weight of the chair that we have and we can write that;

W = mgh

m = mass

g = acceleration due to gravity

h = height

Thus

W = 15 * 9.8 * 30

W = 4.41kJ

Thus a work of about  4.41kJ is done.

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Answer:

Explanation:

According to Newton's second law

F = ma

m is the mass = 0.12kg

a is the acceleration = v-u/t

a = 5-0/0.6

a = 5/0.6

a = 8.333m/s²

Get the force

F = 0.12 * 8.333

F = 1.0N

Hence the average resultant force acting on the ball while it is being hit is 1.0N

Answer:

10^24 kg

Explanation: