1. A mountain climbing expedition establishes a base camp and two intermediate camps, A

and B. Camp A is 11,200 m east of and 3,200 m above base camp. Camp B is 8,400 m

east of and 1,700 m higher than Camp A. Determine the displacement between base camp

and Camp B.

Answers

Answer 1

Answer:

Explanation:

The diagram showing the illustration of the question is shown on the first uploaded image

Here G represents the base

So the displacement in the x -axis is mathematically represented as

\(X = 11200 + 8400 = 19600 \ m\)

The displacement in the y -axis is mathematically represented as

\(Y 3200 + 1700 = 4900 \ m\)

Generally the resultant displacement is

\(R = \sqrt{ X^2 + Y^2}\)

\(R = \sqrt{ 19600^2 + 4900^2}\)

\(R = 20200\ m \)

Generally the direction of this resultant displacement is mathematically represented as

\(\theta = tan ^{-1} [\frac{Y}{X} ]\)

=>       \(\theta  =  tan ^{-1} [\frac{4900}{19600} ]\)

=>            \(\theta  = 14.03 ^o  \)

Hence the direction is  \(14.03 ^o[\tex] from the horizontal axis

 

1. A Mountain Climbing Expedition Establishes A Base Camp And Two Intermediate Camps, Aand B. Camp A

Related Questions

A point object moves from point A to point B along a circular path with a radius. What is the size of the angle ?

Answers

The size of the angle θ of a point object moving from point A to point B along a circular path is 2πR / L.

How to solve size of an angle?

To understand this, consider a simple example. Suppose that a point object that moves from point A to point B along a circular path with a radius of 1 meter. The distance between points A and B is also 1 meter. Therefore, the size of the angle θ is equal to 2π × 1 / 1 = 2π radians.

In general, the size of the angle θ = ratio of the circumference of the circle to the distance between points A and B. The circumference of the circle is equal to 2πR, where R = radius of the circle. Therefore, the size of the angle θ is equal to 2πR / L.

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Complete question:

A point object moves from point A to point B along a circular path with a radius R. What is the size of the angle θ?

Three blocks m1 = 1 kg, m2 = 2 kg, and m3 = 3 kg are connected through a frictionless pulley as shown in the figure below. A downward force F = 48 N is acting on block m1. Using the system approach, determine the magnitude of the acceleration of these blocks.

Three blocks m1 = 1 kg, m2 = 2 kg, and m3 = 3 kg are connected through a frictionless pulley as shown

Answers

Consider the system formed by the blocks m1, m2 and m3.

Let the forces acting in the direction of the force F be positive.

There is a total of 4 forces acting on the system: the force F and the weighs of blocks m1, m2 and m3.

The force F and the weight of m1 are positive, while the weighs of blocks m2 and m3 are negative.

The weighs of blocks m1, m2 and m3 can be found by multiplying the masses m1, m2 and m3 by the acceleration of gravity, g=9.81m/s^2:

\(\begin{gathered} W_1=m_1g=(1kg)(9.81\frac{m}{s^2})=9.81N \\ W_2=-m_2g=-(2kg)(9.81\frac{m}{s^2})=-19.62N \\ W_3=-m_3g=-(3kg)(9.81\frac{m}{s^2})=-29.43N \end{gathered}\)

The net force acting on the system is:

\(\begin{gathered} \Sigma F=F+W_1+W_2+W_3 \\ =48N+9.81N-19.62N-29.43N \\ =8.76N \end{gathered}\)

The total mass of the system is:

\(M=m_1+m_2+m_3=1kg+2kg+3kg=6kg\)

According to Newton's Second Law of Motion, the acceleration of the system is given by:

\(a=\frac{\Sigma F}{M}=\frac{8.76N}{6kg}=1.46\frac{m}{s^2}\)

Notice that none of the options coincides with this answer. Nevertheless, the option 1.33m/s^2 is closest to 1.46m/s^2. We can justify that answer if we consider g=10m/s^2, which leads us to the following calculations:

\(\begin{gathered} W_1=(1kg)(10\frac{m}{s^2})=10N \\ W_2=-(2kg)(10\frac{m}{s^2})=-20N \\ W_1=-(3kg)(10\frac{m}{s^2})=-30N \\ \\ \Sigma F=48N+10N-20N-30N=8N \\ \\ a=\frac{8N}{6kg}=1.33\frac{m}{s^2} \end{gathered}\)

Therefore, the correct choice is: 1.33 m/s^2.

Select the correct answer.
A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?
O A.
B.
100 kilometers/hour south
200 kilometers/hour
200 kilometers/hour north
O C.
O D. 100 kilometers/hour

Answers

The average velocity of the car is 100 kilometers/hour south. This means that, on average, the car is traveling 100 kilometers per hour in the south direction relative to its starting point.

To determine the average velocity of the car, we need to calculate the displacement and divide it by the time taken. Velocity is defined as the rate of change of displacement with respect to time.

In this case, the car is traveling south, and its displacement is 200 kilometers from its starting point after 2 hours.

The average velocity is given by the formula:

Average velocity = Displacement / Time

The displacement is 200 kilometers south, and the time is 2 hours. Therefore, we have:

Average velocity = 200 kilometers south / 2 hours

Simplifying the calculation:

Average velocity = 100 kilometers/hour south

Hence, the correct answer is B. 100 kilometers/hour south. This indicates that the car's average velocity is 100 kilometers per hour towards the south direction.

It's important to note that velocity is a vector quantity and includes both magnitude (speed) and direction. In this case, the direction is specified as south, which indicates that the car is moving towards the south relative to its starting point.

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Please answer all three answers

Please answer all three answers

Answers

Answer:

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Gravitational potential energy (GPE): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (KE): it is an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

\( K.E = \frac{1}{2}MV^{2}\)

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

From the above, we can deduce the following;

I. The rock that has the most kinetic energy is rock 3.

II. Rock 3 has the most kinetic energy because it weighs the highest among the rocks i.e it has the highest amount of mass. Also, the mass of an object is directly proportional to the kinetic energy possessed by the object; the higher the mass, the higher the kinetic energy.

III. Kinetic energy is taking place rather than potential energy because the rocks are in motion i.e rolling down a hill.

A 700N marine in basic training climbs a 10m vertical rope at constant speed in 8sec. what is power put ​

Answers

Answer:

875 Watts

Explanation:

P = W/t = mgh/t = 700(10)/8 = 875 Watts

Explain how the removal of heat energy affects the speed of the particles in a substance

Answers

Answer:

The removal of heat energy slows the speed of particles

Explanation:

When you add heat to a substance, the heat energy gets transferred to kinetic energy, and the molecules began to move a greater distance at a greater speed. When you remove heat, the opposite happens.

A student slides a 0.45 kg textbook across a table. What will be the kinetic energy of the textbook
if its speed is 0.20 m/s?

Answers

Answer:

Below

Explanation:

Kinetic Energy = 1/2 * m * v^2

                        = 1/2 * .45 * .2^2 = .009 J

Important Formulas:

\(KE=.5mv^2\)

Kinetic Energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

\(m=0.45kg\)

\(v=0.20m/s\)

\(KE=?\)

__________________________________________________________

\(KE=.5mv^2\)

\(KE=.5(0.45)(0.20)^2\)

__________________________________________________________

\(\fbox{KE = 0.009J}\)

solve for a in the acceleration equation

Answers

To calculate acceleration, you use the equation a =Δv/Δt, where Δv is the change in velocity, and Δt is the time it takes for the change to occur.

In physics, acceleration is the change in velocity in a given unit of time. The acceleration of an object is caused by a force acting on the object, as explained in Newton's second law. The SI unit for acceleration is meters per second squared (m/s). Acceleration is the product of the velocity (m/s) divided by the time (s). So, the resulting formula is a = v/t.

Acceleration and the most basic velocity in acceleration are how fast a car can increase its speed, while velocity looks at how fast a car travels a certain distance.

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Infrared radiation from the center of our Galaxy with a wavelength of about 2 µm (2 ✕ 10−6 m) comes mainly from cool stars. What is the surface temperature (in K) of those stars?

Answers

The surface temperature of the stars whose infrared radiation have a wavelength of  2 µm is 1.45×10³ K.

What is temperature?

Temperature is the measure of hotness or coldness of a thing or place.

To calculate the temperature of the stars, we use the formula below.

Formula:

T = b/λ.......... Equation 1

Where:

T = Temperature of the starsλ = Wavelength of the starsb = Wein's constant

From the question,

Given:

λ = 2×10⁻⁶ mb = 2.9×10⁻³ m⋅K

Substitute these values into equation 1

T = 2.9×10⁻³ / 2×10⁻⁶T = 1.45×10³ K

Hence, the surface temperature of the stars is 1.45×10³ K.

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An air Craft is travelling along a runway at a velocity of 25mls it accelerates at a rate 0f 4m/s² for a distance of 750m before taking off Calculate the take off speed​

Answers

To calculate the take off speed of the aircraft, we can use the formula v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.

Given:
u = 25 m/s
a = 4 m/s²
s = 750 m

Plugging these values into the formula, we get:

v² = 25² + 2(4)(750)
v² = 625 + 6000
v² = 6625

Taking the square root of both sides, we get:

v = √6625
v ≈ 81.4 m/s

Therefore, the take off speed of the aircraft is approximately 81.4 m/s.

What is evidence used by Galileo to disprove Aristotle and Ptolemy?

Answers

Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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The blades in a blender rotate at a rate of 7000 rpm. When the motor is turned off during operation, the blades slow to rest in 3.4 Part A What is the angular acceleration as the blades slow down? Express your answer to two significant figures and include the appropriate units.
α = ____ rad/s^2

Answers

As a result, the blades' angular acceleration as they decelerate down is roughly 216 rad/s².

We can use the following kinematic equation to find the angular acceleration of the blades:

ωf = ωi + αt,

where ωi = 7000 rpm is the initial angular velocity, ωf = 0 is the final angular velocity, t = 3.4 s is the time it takes for the blades to slow down, and α is the angular acceleration that we want to find.

First, we need to convert the initial angular velocity from rpm to rad/s:

ωi = 7000 rpm × 2π/60 = 733.3 rad/s.

Now we can use the kinematic equation to solve for α:

0 = 733.3 rad/s + α(3.4 s)

α = -733.3 rad/s / 3.4 s

α ≈ -216 rad/s².

Note that the negative sign indicates that the blades are decelerating, as we would expect. So the angular acceleration as the blades slow down is approximately 216 rad/s².

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What physical property does the symbol I_enclosed in problem 5 represent? a. The current along the path in the same direction as the magnetic field b. The current in the path in the opposite direction from the magnetic field c. The total current passing through the loop in either direction d. The net current through the loop

Answers

Answer:

C

Explanation:

Current passing through the loop in either direction

Describe what is required for work to be considered done by a physicist. Give an example in two or more complete sentences.

Answers

For work to be considered done by a physicist, it must involve the application of physics principles and concepts to solve a problem or answer a research question. This can involve theoretical work, such as mathematical modeling, or experimental work, such as designing and conducting experiments to test hypotheses.

An example of work done by a physicist would be the design and analysis of experiments to study the properties of a new material. This could involve developing a theoretical model to predict the behavior of the material, designing and building experimental apparatus, conducting experiments, and analyzing the resulting data using statistical and mathematical techniques. The physicist would use their knowledge of physics principles and concepts to interpret the data and draw conclusions about the properties of the material.

(Figure 1) shows a thin liquid film bounded on the right side by a sliding wire that is attached to a spring with spring constant 0.50 N/m. The spring is stretched by 1.3 cm. What is the liquid's surface tension in mN/m?

Answers

The liquid's surface tension in N/m is determined as 0.25 N/m.

What is surface tension?

Surface tension is defined as the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Mathematically, the formula for surface tension of a liquid is given as;

γ = F/L

γ = F/2x

where;

F is the applied forcex is the extension of the springγ is the surface tension

From Hooke's law, the force applied on an elastic material is directly proportional to the extension of the material.

F = kx

where;

k is the spring constantx is the extension of the spring

The final equation for the surface tension of the liquid film becomes;

γ = F/2x

γ = kx/2x

γ = k/2

γ = (0.5 N/m) / 2

γ = 0.25 N/m

Thus, the surface tension of a liquid depends on the applied force and length of the liquid surface.

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Which change of state is shown in the model?

-condensation
-deposition
-boiling
-freezing

Answers

Answer: what’s the model

Explanation:

it's B hope this help's

Is frictional force the only example of non-conservative force?​

Answers

Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

Magnetic and Electric fields are Non- Conservative.

the government can encourage the production of goods that create positive externalities by creating?

Answers

The government can encourage the production of goods that create positive externalities by implementing policies and mechanisms such as subsidies, tax incentives, and regulations.

Positive externalities occur when the production or consumption of a good or service benefits society beyond the direct parties involved. These benefits can include improved public health, environmental sustainability, or increased social welfare. To encourage the production of goods with positive externalities, the government can take the following steps:

Subsidies: The government can provide financial support to producers of goods with positive externalities. Subsidies can offset production costs, making it more attractive for producers to supply these goods. By reducing the costs of production, subsidies can encourage higher output and more widespread availability of goods that benefit society.

Tax incentives: The government can offer tax incentives or tax breaks to businesses that produce goods with positive externalities. By reducing the tax burden on producers, it becomes economically advantageous for businesses to engage in activities that generate positive externalities. Tax incentives can stimulate investment, innovation, and production in areas that have positive spillover effects.

Regulations: The government can implement regulations and standards that require or promote the production of goods with positive externalities. For example, environmental regulations can encourage industries to adopt cleaner technologies and reduce pollution. By setting standards and enforcing regulations, the government can steer production towards goods that have positive impacts on society.

Public-Private Partnerships: The government can collaborate with private entities to promote the production of goods with positive externalities. Through partnerships, the government can provide resources, expertise, and incentives to businesses that are willing to produce goods that generate social benefits. This collaboration can help overcome barriers and create a conducive environment for the production of socially beneficial goods.

By employing these measures, the government can provide the necessary incentives and support for the production of goods that create positive externalities. These actions align the private interests of producers with the broader goals of societal welfare, fostering a more sustainable and socially responsible economy.

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explain the term tenscopo ​

Answers

Answer: Here you go, i hope this kinda helps.

Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".

Watson Assistant replies to user's questions based on a confidence score.

Sometimes the customer's question could be interpreted in two or three different ways.

For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:

Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?

Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.

In the same liquid, the pressures are equal at all points that are
A. the same distance below the liquid surface.
B. along the vertical walls of the container.
C. not touching any immersed objects.
D. not in the sunlight.

Answers

The correct option is A. which states that in the same liquid, the pressures are equal at all points that are at the same distance below the liquid surface.

This is because the pressure is determined by the weight of the liquid column above it, which is the same for all points at the same depth. The pressure along the vertical walls of the container is not equal because the liquid is in hydrostatic equilibrium which means that the pressure is not the same at all points in the liquid, and since the walls are vertical, the pressure is the same along them. The pressure at any point not touching any immersed objects is not equal to the pressure at any other point not touching any immersed objects because the pressure is determined by the weight of the liquid column above it, which is the same for all points not touching any immersed objects. The pressure is not affected by factors such as sunlight since the pressure at any point  in the sunlight is equal to the pressure at any other point not in the sunlight.

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To determine athletes body fat, there are weighed first in air and then again while they are completely underwater. It is found that one athlete weighs 690 N when weighed in air and 42 N when weighed underwater. What is the average density

Answers

Answer:

1065 Kgm-3

Explanation:

We can determine the relative density of the athlete from the formula;

Relative density of athlete = weight of athlete in air/upthrust on athlete

Since weight of athlete in air= 690 N

Weight of athlete in water = 42 N

Upthrust on athlete= weight in air - weight in water

Upthrust on athlete= 690 N - 42 N = 648 N

Relative density of athlete= 690 N / 648 N

Relative density of athlete= 1.065

Therefore, average density of the athlete= relative density × density of water = 1.065 × 1000 Kgm-3 = 1065 Kgm-3

The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

a story that ends indeed God knows the best​

Answers

Answer:

In fact, God already knows how your story will end. The thing is, it’s really his story and he created you to be a unique and significant part of it. That’s why you can have faith that he is working to take care of you and to give you a good future. God repeatedly says in Scripture that he will one day reward us for our faith.

Good luck

Explanation:

The hottest recorded temperature in the history of the United States is 134 °F, which is 57 °C. What would the speed of sound at this temperature?

Answers

Answer:

365 m/s

Explanation:

Mrs Finley

A heat capacity of a calorimeter is C = 150J.K-1 contains a mass m1 = 200g of water at the initial temperature T1 = 70 ° C. An ice cube of mass m2 = 80g is placed out of the freezer at the temperature T2 = -23 ° C.
Determine the final state of equilibrium of the system (final temperature, mass of the different bodies present in the calorimeter).

~Data: Specific heat of liquid water:
c water = 4185 J.kg-1 .K-1.
Specific heat of ice: c ice = 2090J.kg-1 .K-1.
Latent heat of melting ice: Lf = 3,34x105 J.kg-1​

Answers

The final temperature of the system is 3.34°C.

At equilibrium, the calorimeter contains 0.15 kg of water and 0.013 kg of melted ice.

What is the final state of equilibrium of the system?

To determine the final state of equilibrium of the system, we need to calculate the amount of heat that will be exchanged between the water and the ice cube, taking into account the heat capacity of the calorimeter.

First, we need to calculate the heat absorbed by the water as it cools down to the final temperature, T2, which is the temperature at which the ice starts to melt. This can be calculated using the following formula:

Q1 = m1 * c_water * (T1 - T2)

where;

Q1 is the heat absorbed by the water, m1 is the mass of the water, c_water is the specific heat of water, T1 is the initial temperature of the water, and T2 is the final temperature of the water.

Next, we need to calculate the heat absorbed by the ice cube as it warms up to the melting point, and then melts. This can be calculated using the following formula:

Q2 = m2 * (c_ice * (T2 - T') + L)

where;

Q2 is the heat absorbed by the ice cube, m2 is the mass of the ice cube, c_ice is the specific heat of ice, T2 is the initial temperature of the ice cube, and L is the latent heat of melting ice.

Since the heat absorbed by the water is equal to the heat absorbed by the ice cube, we can set Q1 equal to Q2 and solve for T2:

m1 * c_water * (T1 - T2) = m2 * (c_ice * (T2 - T') + L)

Simplifying and solving for T2, we get:

T2 = (m2 * L + m1 * c_water * T1 - m2 * c_ice * T') / (m1 * c_water + m2 * c_ice)

Substituting the given values, we get:

T2 = (0.08 kg * 3.34 x 10^5 J/kg + 0.2 kg * 4185 J/kg.K * 70°C - 0.08 kg * 2090 J/kg.K * (-23°C)) / (0.2 kg * 4185 J/kg.K + 0.08 kg * 2090 J/kg.K)

T2 = 3.34°C

Therefore, the final temperature of the system is 3.34°C.

To determine the mass of the different bodies present in the calorimeter at equilibrium, we can use the conservation of mass principle. The mass of the water and the ice cube before they are put in the calorimeter is 0.2 kg + 0.08 kg = 0.28 kg. After they reach equilibrium, the total mass in the calorimeter is still 0.28 kg, since no mass is lost or gained during the process.

Therefore, the mass of the water at equilibrium is:

m1' = m1 * (T1 - T2) / (T1 - 0°C) = 0.2 kg * (70°C - 3.34°C) / (70°C - 0°C) = 0.15 kg

Similarly, the mass of the ice cube at equilibrium is:

m2' = m2 * (T2 - 0°C) / (T2 - 0°C) = 0.08 kg * (3.34°C - 0°C) / (-23°C - 0°C) = 0.013 kg

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A car traveled a distance of 30 km in 20 minutes (1/3 hours). What was the
speed of the car?
A. 90 km/hr
OB. 60 km/hr
O C. 30 km/hr
D. 10 km/hr

Answers

The answer is, (A). 90 I’m/hr
The answer will be A.

A generator produces 60 000 J of electric energy every minute. How many watts does it produce?

Answers

Answer:

\(1000\; {\rm W}\).

Explanation:

Joule is a unit for work, while watt is a unit for power- the rate at which work is being done. Divide work by time to find power.

By definition, one watt is equivalent to one joule-per-second. In other words: \(1\; {\rm W} = 1\; {\rm J \cdot s^{-1}}\). Note that the unit of time in this question is "minute", not second.

Apply unit conversion and ensure that the unit of time is "second":

\(\begin{aligned} 1\; \text{minute} &= 1\; \text{minute} \times \frac{60\; {\rm s}}{1\; \text{minute}} = 60\; {\rm s}\end{aligned}\).

The power of this generator would thus be:

\(\begin{aligned} \text{power} &= \frac{\text{work}}{\text{time}} \\ &= \frac{60\, 000\; {\rm J}}{60\; {\rm s}} \\ &= 1\, 000\; {\rm W} \end{aligned}\).

PLEASE BE FAST IM BEING TIMEDDDDD
If the current of a circuit is 2.8A. Find the number of charge in Coulomb in
3 seconds.

Answers

Answer:

I=Q/T

2.8=Q/3

8.4C=Q

Explanation:

A boy who exerts a 300-N force on the ice of a skating rink is pulled by his friend with a force of 75 N, causing the boy to accelerate across the ice. If drag and the friction from the ice apply a force of 5 N on the boy, what is the magnitude of the net force acting on him? (a) 70 N (b) 370 N (c) 80 N (d) 380 N

Answers

Answer:

Choice a. \(70\; \rm N\), assuming that the skating rink is level.

Explanation:

Net force in the horizontal direction

There are two horizontal forces acting on the boy:

The pull of his friend, andFrictions.

The boy should be moving in the direction of the pull of his friend. The frictions on this boy should oppose that motion. Therefore, the frictions on the boy would be in the opposite direction of the pull of his friend.

The net force in the horizontal direction should then be the difference between the pull of the friend, and the friction on this boy.

\(\text{Net force, horizontal} = 75\; \rm N - 5\; \rm N = 70\; \rm N\).

Net force in the vertical direction

The net force on this boy should be zero in the vertical direction. Consider Newton's Second Law of motion. The net force on an object is proportional to its acceleration. In this question, the net force on this boy in the vertical direction should be proportional to the vertical acceleration of this boy.

However, because (by assumption) the ice rink is level, the boy has no motion in the vertical direction. His vertical acceleration will be zero. As a result, the net force on him should also be zero in the vertical direction.

Net force

Therefore, the (combined) net force on this boy would be:

\(\sqrt{(70\; \rm N)^2 + (0\; \rm N)^2} = 70\; \rm N\).

The answer is a hope it helps

For a simple harmonic oscillator, which of the following pairs of vector quantities can’t both point in the same direction? (The position vector is the displacement from equilibrium.) (a) position and velocity (b) velocity and acceleration (c) position and acceleration

Answers

The restoring force and acceleration are always in the same direction for a simple harmonic oscillator.

A simple harmonic oscillator is what?

A driven or dampened oscillator is known as a simple harmonic oscillator. It typically consists of a mass "m" that is pulled in the direction of the point x = 0 by a single force "F" that solely depends on the body's position "x" and a constant "k."

Consider a straightforward pendulum that displays SHM at low displacements. The location vector points upward while the acceleration and velocity vectors point downward during the downswing. The acceleration vector points downward while the location and velocity vectors point upward during an upswing. Therefore, unless they are both 0 at equilibrium, the acceleration always points in the opposite direction to the position vector. The acceleration and force of restoration are always in same direction .

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