What is the direction of the resultant vector A + B?
A. 15° above the x-axis
B. 75° above the x-axis
C. 15° below the x-axis
D. 75° below the x-axis​

The amount of energy lost due to friction is 735 J

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

Given mass of the kid is 30 kg

The length of the slide from the ground is 2.5 meters

the speed given is 1 m/s

Energy lost is PE-KE = M*g*h - 0.5M*V^2

= 30 × 10 × 2.5 - 0.5 × 30 × 1²

= 750 - 15

= 735 J

Thus the energy lost is 735 J

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A child who weighs 30 kg descends a slide that is 2.5 meters high. Friction results in an energy loss of 735 J.

A force called friction opposes the relative motion of two materials or objects. These resistive forces are brought on by elastic deformation, surface roughness, and molecule adhesion. The force that prevents one solid item from moving across another is known as friction. Friction force, kinetic friction, tumbling friction, and kinetic friction are the four main categories of friction.

It generates heat, which is useful for warming our bodies or specific areas of any object. Power is also lost as a result. It makes noise during every operation. We are able to just walk, jump, play, etc. due to friction.

Energy lost = PE-KE

= M*g*h - 0.5M*V^2

= 30 × 10 × 2.5 - 0.5 × 30 × 1²

= 750 - 15

= 735 J.

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The projectile will take 6 seconds to return to the same level it was launched if it is launched at 50 m/s at 37 degrees from the horizontal.

Time taken by projectile to cover entire trajectory is called "Time of flight".

Suppose the initial velocity is u = [tex]v_{0[/tex] sin Ф

Let the Time of flight is T

As the projectile is reaching the same level of projection, vertical displacement is  y=0

we have, s= u t +1/2 a[tex]t^{2}[/tex]

0= [tex]v_{0[/tex] sinФT- 1/2 g[tex]T^{2}[/tex]

0= [tex]v_{0[/tex] sinФ- 1/2 gt

so, T = 2[tex]v_{0[/tex] sinФ/g

Putting values in this formula, we have

T= 2×30/10

T= 6 s

So, Time of flight is 6 seconds.

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The angle that will be required to bank the turn so that friction will not be required is 21.4°

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

Centripetal force = Mv²/r, Where r is the radius of the curvature and v is the speed.

For a turning car to be banked without friction, the angle of the curvature is given as tan(phi)= v²/rg

where (phi) is the angle.

phi = tan^-1(v²/rg)

v = 65km/h = 65×1000m/3600s= 18.06m/s

phi = tan^-1(18.06²/(85×9.8)

phi = tan^-1(0.392)

phi = 21.4°

therefore the angle required to bank the turn so that no friction will be required is 21.4°

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The distance is 9.65 m.

Area of each triangular sector = 338/5

Angle subtended at center = 360° / 5 = 72°

Let, circumradius of pentagon = r

Side of pentagon = 2r sin36°

Apothem = rcos36°

Area of each sector = 1/2 (2r sin 36°)(rcos36°)

= [tex]r^{2}[/tex]/2 sin72° = 338/5

[tex]r^{2}[/tex] = 338/5 × 2/sin72° = 142.16

r = 11.9 m

Apothem = rcos36° = 9.65 m

Hence, the distance is 9.65 m.

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The force that gravity exerts on Rudolph is -2940 N.

Newton's second law states that the acceleration of an object depends upon two variables. They are the net force acting on the object and the mass of the object. The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the mass of the object. This means that, if force acting upon an object is increased, the acceleration of the object also increases. If mass of an object is increased, the acceleration of that object decreases.

It is given by the formula, F = ma

where, F is the net force

m is the mass

a is the acceleration

Given that, m = 300 kg

a = -9.8 m/s²

F = ?

Substituting in the above formula, we have

F = m * a

⇒ 300 * (-9.8)

⇒ 30 * (-98)

⇒ -2940 N

Thus, the force that gravity exerts on Rudolph is -2940 N.

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No, the manual instrument grip release wrench can't be used when the system is not in a fault state. The given statement is false. Using manual instrument grip release comes under da vinci si syatem.

Faults can be of two types, recoverable faults and non recoverable faults. a recoverable fault is one that the da Vinci SI system can recover from and does not require a system restart in order to resolve the fault.

Non recoverable fault is a system fault associated with red arm LEDs and requires a system restart.

Manual instrument grip release is used in the event that normal instrument removal is not possible or when Surgeon Console control of the instrument is not practical or available.

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A body is said to be in thermal equilibrium where all the system temperatures are the same.

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The elastic potential energy stored is 0.9375 J.

The elastic potential energy stored in a spring can be calculated using the following formula:

Elastic potential energy = 0.5 × k × x²

where:

k is the spring constant

x is the distance the spring is compressed or stretched

In this case, the spring constant is given as 12.5 N/mm and the compression is 0.15 mm. Plugging these values into the formula, we get the following:

Elastic potential energy = 0.5 × 12.5 N/mm × (0.15 mm)²

= 0.9375 J

Therefore, the elastic potential energy stored is 0.9375 J.

The elastic potential energy stored in the abductin pad is used to open the shell when the muscles relax. The muscles close the shell by contracting, which compresses the pad. When the muscles relax, the pad expands, pushing the shell open. The energy to do this comes from the elastic potential energy that was stored in the pad when it was compressed.

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Average speed of the car be 25 meter/second.

Speed is characterized as the rate at which an object's position changes in any direction.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. SI unit of speed be meter/second.

Given parameters:

Distance travelled by the car: s = 500 m.

Time taken by the car: T = 20 second.

So, speed of the car be = distance travelled/time taken

= 500/20 meter/second

= 25 meter/second.

Hence, its average speed be 25 meter/second.

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The fact that a solid cylinder rolls down a hill more quickly than a hollow one has been demonstrated above. This is as a result of their inertial moments.

A cylinder that is hollow from the inside out and has a discrepancy between its internal and external radii is referred to as a hollow cylinder. The base of the hollow cylinder is shaped like an annular ring.. So the hollow cylinder's bottom resembles a zone enclosed by two concentric rings.

The area encircled by the shape in a three-dimensional plane is referred to as the volume of a hollow cylinder. A hollow cylinder is one that has a discrepancy between the internal and external radius and is empty on the inside. In other terms, it is a cylindrical shape with some thickness at the edges and no inside.

Because the formulas for calculating the total surface area (TSA) of a cylinder and a hollow cylinder are almost identical, use caution. TSA of a cylinder is equal to 2 rh plus 2 r2, or the surface area of the cylinder plus the area of 2 circles.

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When you check your credit score for incorrect information, you are checking the veracity of the information.

option C is the correct answer.

Veracity is a word that describes the quality of being true, honest, or accurate.

Veracity also entails the conformity with truth or fact. It shows the validity of information or fact.

From the given question, when you check your credit score for incorrect information you are checking the veracity of such information or the conformity with truth or fact about the credit score.

Thus, we can conclude that veracity entails the truth, validity or conformity of information with proven truth.

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The balanced nuclear equations for formation of ⁸¹ Kr through electron capture is (81,37)Rb + (0,-1)e > (81,36)Kr

Nuclear equations represent the reactants and products in radioactive decay, nuclear fission, or nuclear fusion. Instead of chemical equations showing that different numbers of elements are conserved in a reaction, atomic mass and proton number are conserved in a nuclear reaction.

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Answer: 6.0 m/s/s

Explanation: If the net force acting on an object is halved, the acceleration of the object will also be halved. Therefore, if the object has an acceleration of 12.0 m/s/s and the net force acting on it is halved, the new acceleration of the object would be 12.0 m/s/s / 2 = 6.0 m/s/s.

The pendulum swings in one direction for 4 seconds in each direction, making a 15.9 m swing in one second.

Instruments utilized in science, such as seismometers and accelerometers, also employ pendulums. They have a history of being used as length standards and gravimeters for measure an acceleration of gravity in geophysical surveys. The word "pendulum" is derived from the Latin word "pendulus," which means "hanging."

The gravity force will cause the swing to freely swing back and forth when it has been hoisted and released. The swing keeps swinging back and forth on its own until frictional (between the swing and the air, and between chains and the connection points) slows it down and ultimately causes it to stop.

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Answer:

The tendency of a dog to bark defines entirely on the type of environment and the situation the dog looks at. Hence the correct answer is option.

At reach point 2, the speed V is equal to 24.9 m/s if the average friction force is equivalent to 0.15 of the its weight.

A force that opposes the rolling or sliding of three stationary surfaces over one another. Although frictional forces, such the traction required to walk without falling, may be advantageous, they can provide a significant amount of resistance to motion. the physical contact of two bodies.

The interaction of a car's tires with the road causes friction, specifically three types of friction: rolled friction, starting turbulence, and sliding friction. This friction is what allows humans to operate cars at all.

speed= 1.5m/s

The Initial speed u = 1.5m/s.

point 1 $ point 2 is (39-13) =26m

40 meters is equivalent to an altitude of(40/6) =6.7

kinematics equation v^2 =u^2 + 2as

V^2 = 1.5^2 + 2*9.8 (26 + 6.7)

V = 24.9 m/s

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Heat transfer by convection occurs when a fluid (such as air or water) is moving. The movement of a material carrier distinguishes conduction from convection, which is the transfer of thermal energy by the movement of hot fluid (as opposed to making other material hot by wiggling atoms).

Thermal energy can be exchanged between objects by a variety of techniques, all of which are based on the fundamental idea that heat and kinetic energy both prefer equilibrium and similar energy states. Conduction, convection, and radiant heat (commonly referred to as radiation, but it's a more comprehensive phrase that includes many other processes) are the three main ways that heat can transfer.

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The accelerator lab is considering using a solid-state detector as part of a high-energy experiment, converting some of the particle energy directly into an electrical current, which would be an advantage of using a solid-state detector.

Solid-state detector, also called Semiconductor Radiation Detector, is a radiation detector in which a semiconductor material such as silicon or germanium crystal forms the detection medium.

Also they converts part of the particles energy directly into electric current, this would be an advantage of using a solid-state detector.

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The distributor's job is to distribute refrigerant equally throughout the circuiting of the evaporator. As the expansion valve's larger nozzle opens, the distributor maintains a constant flow rate.

An essential piece of machinery in the HVAC sector is the Thermal Expansion Valve (TXV). The valve's function is to regulate the flow of refrigerant into the evaporator section. In this manner, it regulates the discrepancy between superheat and the refrigerant temperature that is currently present at the evaporator outlet.

The thermal expansion relief valve works similarly to an expansion tank by taking up the extra pressure that thermal expansion causes in the plumbing system.

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Answer:

two trillion galaxies

Explanation:

If we made the most straightforward estimate using today's best technology, we'd state there are 170 billion galaxies in our Universe. But we know more than that, and our modern estimate is even grander

Switch the switch from position a to position b after leaving it in position a for a while. Current oscillations are expected to be zero.

The regular to-and-fro oscillation of a Simple pendulum is referred to as its oscillatory motion. One oscillation of the a pendulum is defined as the motion of a bob starting from one end and returning to the other.

An oscillating wave is one that moves back and forth on a regular, repeated basis. This oscillation may occur between extremes of force, amount, or position. Oscillations in waves can take many distinct forms.

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Answer:

Explanation:

As a seismologist studying earthquakes in a particular region, you might expect to find certain features of the earth's crust in that region that are indicative of tectonic activity. Some examples of these features include:

Fault lines: These are fractures in the earth's crust where two tectonic plates have moved relative to each other, often resulting in earthquakes when the movement is sudden and violent.

Folded mountain ranges: When tectonic plates collide, the resulting pressure can cause the earth's crust to fold and form mountain ranges.

Volcanoes: Many earthquakes occur in regions with volcanic activity, as the movement of magma beneath the earth's surface can cause the ground to shake.

Plate boundaries: The boundary between two tectonic plates is often a zone of high seismic activity, as the plates grind against each other and cause earthquakes.

Seismic gaps: Some areas along a fault line may have experienced few or no earthquakes in recent history, and are therefore considered "seismic gaps." These areas may be more prone to earthquakes in the future as the pressure builds up.

By studying these and other features of the earth's crust, you can gain a better understanding of the underlying tectonic processes that contribute to earthquakes in the region.

Answer:

[tex]v_c_a_n_o_e=-1.6m/s^{2}[/tex]

Explanation:

You can use the equation of the conservation of momentum. We find that the velocity of the canoe is -1.6m/s².

[tex]m_1v_1+m_2v_2=0\\(49)(1.5)+(46)(v_c_a_n_o_e)=0\\73.5 + 46v_c_a_n_o_e=0\\46v_c_a_n_o_e = -73.5\\v_c_a_n_o_e = -73.5/46 = -1.6m/s^{2} \\[/tex]

You must travel around the loop at a minimum speed of 7 m/s.

what is speed?

Speed is defined as the rate at which a distance changes over time. It has a distance by time dimension. The basic unit of distance with the basic unit of time are combined to form the SI unit of speed. The metric system uses metres per second as the unit of speed.

A body is being affected by FN.

Fc is the centripetal force. m = mass, v = speed, and r = radius. the "centripetal" force required to maintain the motion of a mass m object around a circle of radius r at speed v.

Fnet= Fc=Fg+FN

mv^2/r=mg

v=√(5.0)(9.8)

=7.0m/s

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If we ignore the moon's presence and assume that NASA wants a satellite to orbit the planet six times per day, its orbital radius is 1.44 x 10⁷.

A constructed item or spacecraft designed to circle the earth, the moon, or another celestial body. A celestial body orbiting another of greater size. An object that has been placed into orbit in space on purpose is known as a satellite or artificial satellite. Most spacecraft, with the exception of passive satellites, contain a means of generating electricity for the electronics they carry, such as solar cells or radioisotope thermoelectric generators.

As of the end of December 2021, just 4,852 of the 8,261 satellites circling the Earth were active, according to UNOOSA data, which were corroborated by the Union of Concerned Scientists (UCS), which keeps track of the functioning satellites.

There are several satellites in operation. They are used for a number of purposes, including as the weather forecasting, amateur radio, television broadcasting, and the Global Positioning System. They use telescopes to look outward at the solar system in order to conduct research and collect data.

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It is to be noted that Cynthia with her device, is most likely trying to demonstrate "Newton's second law of motion" (Option D).

Note that Cyntia is carrying out a sort of experiment that involves various items with different masses while comparing them to how fast they can travel.

Recall that Newton's Second Law of Motion (Force) indicates that the acceleration of an entity depends on the mass of the object and the amount of force applied.

Given that Cyntia's experiment is in this line, it is therefore correct to state that Cynthia, using her device, is most likely trying to demonstrate "Newton's second law of motion"

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Full Question:

Cynthia constructed a small device called a catapult shown below.

The catapult is able to accelerate objects in order to propel them in a certain direction. After placing a small toy in the end of the spoon, she pulls back with her finger on the tip of the spoon to a point and releases.

She uses toys of the same shape and size, but different masses and compares how much each travels when released. Which of the following is Cynthia most likely trying to demonstrate with her device?

A. Newton's universal law of gravitation

B. Newton's third law of motion

C. Newton's first law of motion

D. Newton's second law of motion

Answer: The floor has more friction than the force given to the box for movement.

Explanation:  

The labeled diagram is given below.

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The forces acting on the block at rest are the normal force (N), weight of the block (W) and the force of friction (F).

When a block is at rest on a horizontal floor, several forces are acting on it.

These forces are in equilibrium, meaning they balance each other out and result in zero net force, allowing the block to remain stationary.

The main forces acting on the block are:

Weight: The force of gravity pulls the block downward toward the center of the Earth.

Normal Force: The normal force is the force exerted by a surface to support the weight of an object resting on it.

Frictional Force: If the block is not on a perfectly frictionless surface, there will be a frictional force opposing the tendency of the block to slide.

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The distance from one crest to the next or from one dip to the next may be used to calculate the wavelength.

In actuality, the distance between a wave's point and its equivalent point in the following cycle may be used to calculate a wave's wavelength.

The equation I = I sin t, where I is the current at time t and I is the maximum current, can be used to describe a sinusoidal alternating current.

For a sinusoidal alternating voltage, we may express it similarly by writing v = V sin t, where v is the voltage at time t and V is the maximum value.

The separation between peaks in a sine wave is known as the wavelength.

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The interaction of light that distorted the image of where Bill's goggles appear to be is Refraction.

The light slows down when it passes from the less dense air into the water, this slow down of the ray of light which  causes the ray of light to change direction and then the changes the speed of the light that causes refraction.

The swimming pool appears shallow than it appear to be  because the rays of light coming from the bottom of the swimming pool that is refracted by the water making the height of the swimming pool to be above the actual swimming pool bed and there by misleading the observer(Bill).

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The International Systems of Units' standard unit measuring capacitance (C) is the rate of change of the capacitor's potential difference, which is equal to 0.75 MV/s (SI). It a substance reacts to the an electric charge.

Two electrodes that seem to be close to one another but still separated from one another make up a capacitor, a device used to store electrical energy. The parallel-plate capacitor is one simple but effective instance of this type of storage devices.

dt

dV

​

=

ϵ

0

​

A

i

d

​

d

​

=

C

i

d

​

​

=

2.0×10

−6

F

1.5A

​

=7.5×10

5

V/s

Therefore, we need to change the voltage difference across the capacitor at the rate of  7.5×10

5

V/s.

When an earthing system conductor is moved close to a conductor, its capacitance increases, which is how capacitors operate. The capacitor therefore contains two parallel plates that are spaced apart by a certain amount or gap and oriented in opposing directions.

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