if the 80-kg cabinet is allowed to roll down the inclined plane, determine the acceleration of the cabinet and the normal reactions on the pair of rollers at a and b that have negligible mass.

Answer:

How we know, the equation is:

W = mg

Replacing according our data:

W = 53 kg × 9,8 m/s^2

Resolving:

W = 519,4 N

The weight of the object is of 519,4 Newtons.

The dot product is 25, the angle is \(\theta = cos^{-1} \frac{25}{\sqrt{35} \times \sqrt{21}}\), the cross product is 1i + (-6)j + (-7)k, and the area of the parallelogram spanned by vectors A and B is \(\sqrt{86}\).

Given,

A = 5i + 3j + k

B = 4i + j + 2k

i. Dot Product (A · B):

The dot product of two vectors A and B is given by the sum of the products of their corresponding components.

\(A.B = (A_x \times B_x) + (A_y \times B_y) + (A_z \times B_z)\\A.B = (5 \times 4) + (3 \times 1) + (1 \times 2) \\= 20 + 3 + 2 \\= 25\)

ii. Angle between vectors A and B:

The angle between two vectors A and B can be calculated using the dot product and the magnitudes of the vectors.

\(cos\theta = (A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} ((A.B) / (|A| \times |B|))\\A = \sqrt{(5^2 + 3^2 + 1^2)} =\\ \sqrt{35}\\B = \sqrt{(4^2 + 1^2 + 2^2)} \\= \sqrt{21}cos\theta = \frac{(A.B) / (|A| \times |B|)\\\theta = \frac{1}{cos} \frac{25}{\sqrt{35} \times \sqrt{21}}}\)

iv. Cross Product (A × B):

The cross product of two vectors A and B is a vector that is perpendicular to both A and B and its magnitude is equal to the area of the parallelogram spanned by A and B.

\(A\times B = (A_y \timesB_z - A_z \timesB_y)i + (A_z \timesB_x - A_x \timesB_z)j + (A_x \times B_y - A_y \times B_x)k\\A\times B = ((3 \times 2) - (1 \times 1))i + ((1 \times 4) - (5 \times 2))j + ((5 \times 1) - (3 \times 4))k\\= 1i + (-6)j + (-7)k\)

Area of the parallelogram spanned by vectors A and B:

The magnitude of the cross product A × B gives us the area of the parallelogram spanned by A and B.

Area = |A × B|

Area of the parallelogram spanned by vectors A and B:

Area = |A × B| =

\(\sqrt{(1^2 + (-6)^2 + (-7)^2}\\\sqrt{1+36+49\\\\\sqrt{86}\)

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Answer:

The truce ended all wars

Explanation:

The Olympic Truce or the sacred truce, is the declaration made by ambassadors for the laying down of arms and the stop of all hostilities starting from seven days before the  Olympic games began and ending seven days after the games to provide safe passage for travelling athletes and also spectators to and from the Olympic games

However, the  games were held during Persian wars and also during the Peloponnesian wars. As such the truce stopped mainly conflicts that have direct impact on the Olympic games and there was an attack in Olympia in 364 BC during the games.

Answer:

The truce ended all wars

Explanation:

Apex

Answer:

12mph in 2hrs and 3mph in 0.5hrs the total distance would be 12*2 and 3*0.5 which would be 24 and 1.5 so we add those 24+1.5= 25.5. The answer would be 25.5

Answer:

The work done by Isaac can be calculated using the formula:

work = force x distance

where force is the amount of force applied and distance is the distance over which the force is applied. In this case, the force applied by Isaac is 42 Newtons and the distance over which the force is applied is 6 meters. However, we need to calculate the actual distance moved by the box, which is different from the distance over which the force is applied.

To calculate the distance moved by the box, we can use the formula for the mechanical advantage of a lever:

mechanical advantage = distance moved by effort / distance moved by load

In this case, the effort is the force applied by Isaac, the load is the weight of the box (15 kg), and the mechanical advantage is the ratio of the distances moved. We can rearrange this formula to solve for the distance moved by the load:

distance moved by load = distance moved by effort / mechanical advantage

In this case, the distance moved by effort is 2 meters (the height the box is lifted), and the mechanical advantage can be calculated using the ratio of the lengths of the lever arms (assuming the lever is a simple machine). Let's say the lever has two arms, one on each side of the pivot point, with lengths of L1 and L2. The mechanical advantage of the lever is:

mechanical advantage = L2 / L1

Assuming Isaac applied the force at the end of one arm, and lifted the load at the end of the other arm, we can say that the ratio of the lengths of the arms is:

L2 / L1 = 2 / 6

Simplifying, we get:

L2 = L1 / 3

This means that the load is lifted a distance of 2/3 meters (or 0.67 meters), which is the distance moved by the load. Now we can calculate the work done by Isaac:

work = force x distance

= 42 N x 6 m

= 252 J

Therefore, the amount of work done by Isaac to lift the 15-kilogram box is 252 Joules. The correct answer is (B) 252 Joules.

Answer:

d q=3 m/s

Explanation:

im not too sure hope that helps

Aerobic exercises are effective in building endurance, strengthening your cardiovascular system, and burning calories. Aerobic exercise helps to increase the amount of oxygen in the body. Running, cycling, and swimming are all examples of aerobic exercise. Here are three activities that can improve your aerobic fitness

Running: Running is a fantastic way to improve your aerobic fitness. It's a high-impact exercise that strengthens your lower body, boosts your endurance, and burns calories. Running is an excellent cardiovascular exercise that can help reduce the risk of developing cardiovascular disease, stroke, and high blood pressure. When starting running, always start slowly and gradually build up your speed and distance.

Cycling: Cycling is a low-impact exercise that is gentle on your joints, but it can still be an effective way to improve your aerobic fitness. Cycling can help you build endurance, burn calories, and improve your cardiovascular health. Cycling can also be done indoors on a stationary bike, so it's a great way to exercise when the weather is poor.

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Answer:

There are several advantages to using nuclear energy to produce electricity.

Firstly, nuclear power plants do not emit greenhouse gases such as carbon dioxide, making them a low-carbon energy source. This is an advantage in the fight against climate change.

Secondly, nuclear power plants can generate a large amount of electricity using a relatively small amount of fuel, making them an efficient source of energy.

Thirdly, nuclear power plants can operate continuously for long periods of time without interruption, which improves energy reliability.

Finally, nuclear energy is not subject to price fluctuations in the same way that fossil fuels are, as uranium fuel prices are relatively stable.

However, nuclear energy also has several drawbacks, including the risk of accidents, the potential for nuclear proliferation, and the problem of radioactive waste disposal.

Explanation:

Answer:

I put the answer

Explanation:

Can you see it

10Hz is the frequency of the wave.

To calculate the frequency of a wave, divide the velocity of the wave by the wavelength. Write your answer in Hertz or Hz

Given,

F = 2

λ=2m

v=20m/s

By applying the formula, we get

V = Fλ

F = V / λ

F = 20 / 2

=10Hz

Wave frequency is the number of waves that pass a fixed point in a given amount of time.

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Answer:

Brainliest please

Explanation:

I will start by saying that Metals by their very nature are conductors of electricity. Now metals exhibit “metallic bonding” which holds its structure together. Unlike other materials which exhibit covalent bonding, it's atoms are not bonded by “electron sharing”. Rather they are bonded by the availability of valence electrons. Now within a metals atomic structure, the metal atoms lose the electrons in thier outermost shell (valence electrons), thus becoming positively charged ions (cations )

Answer:

Explanation:

.

To fill in the missing values for KE and GPE in the table, we can use the conservation of energy principle which states that the total mechanical energy of a system (ME) is conserved and remains constant as long as there are no external forces acting on the system.

At the maximum height of 3 m, the basketball is not moving, so all of its energy is potential energy, i.e., GPE = 18 J and KE = 0 J.

Using the principle of conservation of energy, we can calculate the values of KE and GPE at the other heights:

At a height of 2 m, the basketball has lost some potential energy as it has moved down, but it has not gained any kinetic energy yet, so KE = 0 J. Therefore, GPE = 12 J.

At a height of 1 m, the basketball has lost some potential energy and gained some kinetic energy. We can calculate the KE as the difference between the ME at heights of 2 m and 1 m, i.e., KE = ME(2 m) - ME(1 m) = (12 J) - (6 J) = 6 J. Therefore, GPE = 6 J.

At a height of 0 m, the basketball has lost all of its potential energy and gained an equal amount of kinetic energy, i.e., KE = GPE = 18 J.

The mechanical energy (ME) at each height can be calculated as the sum of KE and GPE:

ME(3 m) = KE + GPE = 0 J + 18 J = 18 J

ME(2 m) = KE + GPE = 0 J + 12 J = 12 J

ME(1 m) = KE + GPE = 6 J + 6 J = 12 J

ME(0 m) = KE + GPE = 18 J + 0 J = 18 J

Therefore, the mechanical energy of the basketball remains constant at 18 J at the maximum height and at the ground level, and decreases to 12 J at a height of 2 m and then increases back to 18 J at a height of 0 m.

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Cognitive development is the process by which children learn to reason, solve problems, and comprehend their world. It includes acquiring and organizing knowledge, as well as developing memory, attention, and thinking abilities. Piaget's theory of cognitive development is one of the most well-known theories of cognitive development.

An accurate example of how the use of cultural tools is important in the development of one’s cognitive developmental process is: The use of an abacus to solve a mathematical equation is useful in helping the brain form a mental picture of the problem. The correct option is C. It's based on the notion that children actively build their own cognitive worlds, or schema, through interaction with their environment. This cognitive theory emphasizes the significance of culture in development, as well as how we use cultural tools to develop our cognitive capabilities. Cultural tools play a significant role in the development of one's cognitive developmental process. By assisting the brain in forming mental images of a problem, an abacus may help in the learning of mathematical concepts. Hence, the use of an abacus to solve a mathematical equation is a helpful example of how cultural tools are significant in cognitive development.

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Answer:

Explanation:

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

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

m is the mass

v is the velocity

From the question we have

\(KE = \frac{1}{2} \times 32 \times {3}^{2} \\ = 16 \times 9\)

We have the final answer as

Hope this helps you

The moment of inertia of the stick when it is pivoted about its midpoint is (1/6)ML². The answer choice is (B).

When the stick is pivoted about its midpoint, we can split it into two equal pieces of mass M/2 and length L/2, each with a moment of inertia of:

I₁ = (1/3)(M/2)(L/2)² = (1/12)ML²

The parallel axis theorem tells us that the moment of inertia of the whole stick about its midpoint is equal to the sum of the moments of inertia of the two pieces plus the moment of inertia of the stick as if it were a point mass at its center of mass:

I₂ = 2I₁ + (1/12)M(L/2)²

I₂ = (2/12)ML² + (1/48)ML²

I₂ = (1/6)ML²

Option B is correct.

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Ice has less density ( i.e. 0.9 g/cm^3 ) than water ( i.e. 1.0 g/cm^3) . So , an ice cube floats in water...

☘☘☘..

Answer:

Im not smart

Explanation:

but im your bff

Answer:

it explain how everythings work you should work with the speed of light multiply with the distance of the equator

Answer:

violet has the highest frequency

Explanation:

The object that reaches the bottom of the ramp first is the sphere that rolls down without slipping. This is because the sphere has both translational and rotational kinetic energy, while the block only has translational kinetic energy.

When the sphere rolls down the ramp, it gains both translational kinetic energy, which is the energy of its center of mass moving forward, and rotational kinetic energy, which is the energy of its rotation around its center. The block, on the other hand, only gains translational kinetic energy, as it does not have the ability to rotate like the sphere does.

Since the sphere has more kinetic energy than the block, it will reach the bottom of the ramp first. This is because kinetic energy is directly proportional to velocity, and the sphere's greater kinetic energy will translate to a higher velocity.
In addition, it is important to note that the absence of friction on the block's ramp is not a factor in determining which object reaches the bottom first, as it only affects the block's acceleration down the ramp, not its final velocity at the bottom.

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The customary system of measurement is used, in which a gallon is the closest unit of volume to a liter. Option (A) is correct.

The International unit of volume closest in size to a liter is: Liter. The definition of liter, which is the International System unit of volume is "a volume of 1000 cubic centimeters." Since the International System unit of volume is "a volume of 1000 cubic centimeters," the International unit of volume closest in size to a liter is the liter.

In everyday life, liters are frequently utilized to calculate the volume of liquid or dry matter. The liter is used in science and technology for calculations and information storage. A container that holds 1 liter of water is the same as a 1 liter container that holds oil or flour.A liter is abbreviated as "L" or "l" in scientific notation.

It's also abbreviated as "ℓ" (which looks like a script lowercase letter "L") on the Internet, but this is not widely used. In most countries, the metric system of measurement is used for quantity, weight, and volume. In the United States, Liberia, and Myanmar, however, the customary system of measurement is used, in which a gallon is the closest unit of volume to a liter.

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Answer: 27

Explanation:

The magnitude of the acceleration of the car is 0.463 m/s2.

In this question, we are given that: A 0.0501-kg pair of fuzzy dice is attached to the rearview mirror of a car by a short string. The car accelerates at constant rate, and the dice hang at an angle of 2.74o from the vertical because of the car's acceleration. We need to determine the magnitude of the acceleration of the car. Now, let's try to solve this question.

Step 1: Identify the given values m = 0.0501 kgθ = 2.74o

Step 2: Identify the required value a = ?

Step 3: The formula for the magnitude of the acceleration of the car can be given as F = m × aa = F / m where ,F = tension in the string

Step 4: Identify the forces acting on the fuzzy dice We know that there are two forces acting on the fuzzy dice. They are: Weight force acting on the fuzzy dice, Tension force acting on the string attached to the rearview mirror.

Step 5: Find the weight force acting on the fuzzy dice The weight force acting on the fuzzy dice can be given as W = mg Where ,m = 0.0501 kg (mass of the fuzzy dice)g = 9.8 m/s2 (acceleration due to gravity)W = 0.0501 × 9.8W = 0.49198 N

Step 6: Find the tension force acting on the string attached to the rearview mirror .We know that the tension force is acting along the string, T, which is attached to the rearview mirror. Therefore, the tension force is acting horizontally. Now, let's resolve the weight force acting on the fuzzy dice into two components: Horizontal component, F h Vertical component, F v Therefore ,F v = W = 0.49198 N Now ,F h = F × sinθwhere, θ = 2.74oFh = Tension force acting on the string acting horizontally = Tan θ × F v = Tan 2.74 × 0.49198 = 0.0232 N

Step 7: Find the acceleration of the car We know that the tension force acting on the string and the force applied by the car on the fuzzy dice are the same. Therefore   F = T Therefore ,a = F / m = 0.0232 / 0.0501a = 0.463 m/s2Therefore, the magnitude of the acceleration of the car is 0.463 m/s2.

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Explanation:

Newton's third law states that " Every action has an equal and opposite reaction ".

Since, the Tension force acting on the rope is same.

So, the net force is the same everywhere along the entire rope.

Use Newton's third law to construct an argument that the net force is the same everywhere along the entire rope. The argument is tension force acting on the rope is same so net force is same.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Newton's third law states that " Every action has an equal and opposite reaction ".

Since, the Tension force acting on the rope is same.

So, the net force is the same everywhere along the entire rope.

The argument is tension force acting on the rope is same so net force is same.

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Answer:

(a) parallel circuit

(b) (i) ammeter (ii) current

Hope this helps!

Answer:

A.6s

Explanation:

Average time=

\(average time \: t = \frac{t1 + t2}{2 } \\ \frac{0 + 12}{2} \\ \frac{ 12}{2} \\ t = 6s\)

Answer:

50.63 ft/s (2dp)

Explanation:

Speed = Distance/Time

80/1.58 = 50.63291139

= 50.63 ft/s (2dp)

Answer:

see below

Explanation:

a wave means one complete wave which is 1 period

so a) 5 complete waves

wavelength is the shortest distance between any two points in phase

so wavelength = 1 CM

amplitude of a wave is the maximum displacement of a particle from its rest position

so amplitude = 3 CM

hope this helps

Earth’s rotation is the spinning of the planet on its axis, which takes approximately 24 hours to complete one full rotation. This rotation is the reason why we experience daytime and nighttime.

As Earth rotates, different parts of the planet are exposed to the sun’s rays at different times. When the side of the Earth that faces the sun is in daylight, it is daytime. Conversely, when the side of the Earth that faces away from the sun is in darkness, it is nighttime.The rotation of Earth also creates a phenomenon called the “solar day”. This is the time it takes for the Earth to rotate exactly once on its axis relative to the position of the sun. The solar day is slightly longer than the 24-hour day that we use for our clocks, as Earth also moves in its orbit around the sun. Therefore, the sun appears to move slightly eastward each day, causing the solar day to be about 4 minutes longer than the 24-hour day.
The rotation of Earth also creates different time zones around the world. As the planet rotates, different parts of the world are exposed to the sun’s rays at different times. For example, when it is noon in New York, it is 9 am in Los Angeles and 5 pm in London. This is because the Earth is divided into 24 time zones, each approximately 15 degrees of longitude wide, and each time zone is one hour ahead or behind the next.

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