during one hour trip a small boat travels 8.0 km north and then travels 60.0 km east what is the boat's displacement for the one hour trip

Answer:

A. 1.11[mL/g]

Explanation:

We have to remember the expression to calculate the density, which says it's the relationship between mass and volume.

We can calculate the different densities for each of the samples.

density1 = m/V = 200/180 = 1.11[mL/g]

density2 = m/V = 300/270 = 1.11[mL/g]

density3 = m/V = 400/270 = 1.11[mL/g]

According to the initial data, we can determine that the density corresponds to 1.11 [mL/g]

Answer:

mass

Explanation:

The gravitational force exerted on an object is called its weight. Weight can change based on the strength of the gravitational pull where the object is located. The weight is calculated by multiplying the object's mass by the gravitational acceleration.

The gravitational force exerted on an object is referred to as the object's Weight. This should not be confused with Mass, which is a measure of the amount of matter in an object and remains constant regardless of an object's location. Weight, however, can change depending on the gravitational pull of the surroundings. For instance, an object would weigh less on the moon than on Earth due to the moon's weaker gravitational pull.

Calculating the weight of an object is done by multiplying the mass of the object by the gravitational acceleration (approximately 9.8 m/s^2 on Earth). The typical unit of weight in the International System of Units (SI) is the Newton (N).

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Answer:

The net force on the frog is  zero Newton.

Explanation:

Balance forces are 2 forces that is acting in opposite directions on an object, and equal in size. Anytime there is a balanced force on an object, the object stays still or continues moving continues to move at the same speed and in the same direction

In Figure , the forces exerted on the frog is equal in magnitude and opposite in direction.

Hence

The force , F1 = 200 N and F2 =  -200 N since it is acting in opposite direction

Now the net force =F1 + F2 =  200 - 200 = 0

Answer:

net force

Explanation:

The net force is the vector sum of all the forces that act upon an object. That is to say, the net force is the sum of all the forces, taking into account the fact that a force is a vector and two forces of equal magnitude and opposite direction will cancel each other out.

Explanation:

1) Newton's first law of motion states: "an object in motion stays in motion, and an object at rest stays at rest, until acted upon by an unbalanced force."

When you're riding in a car, your body is moving forward.  When the car turns left, your inertia keeps you moving forward.  This means the car moves left from underneath you, which makes it feel like you're moving to the right, even though there's no net force pushing you.

2) When you're standing on the ground, the Earth's gravity pulls on you with a force equal to your weight.  You push back on the Earth with an equal and opposite force called "normal force".

Answer: The answer is 1

Explanation:

because the atoms and nuclear

y= 2.52 - 14.10x

Explanation:

Form a table as shown below

  x          y        x²        y²        xy

13        17     169       289       221

20       19     400      361         380

22       23     484      529        506

18        16      324      256        288

19        20     361       400        380

11         10      121         100        110

10        11        100       121         110

15        18      225       324        270

128     134     2184      2383   2265        sum

The formula for correlation is given by;

y=a + bx

a= ( ∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²

a=(134)(2184) - (128)(2265) / 8 (2184)-(128²)

a=292656 - 289920 / 17472-16384

a=2.515

b= n (∑xy) -(∑x)(∑y) / n (∑x²)-(∑x)²

b=8 (226) -(128)(134) / 8 (2184) - 128²

b=1808-17152 / 17472-16384

b= -14.10

The equation is thus;

y= a+bx

y= 2.52 - 14.10x

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Final answer:

To find Spearman's rank correlation coefficient for the given data, rank the values of X and Y, calculate the differences and squared differences of these ranks, and apply the Spearman's coefficient formula. A direct calculation cannot be provided without these intermediate steps. Spearman's correlation is appropriate for non-linear relationships.

Explanation:

To calculate Spearman's rank correlation coefficient between X and Y for the provided set of data, we must first rank the values of X and Y separately from lowest to highest and then compute the differences between the ranks for each pair of X and Y. After finding the squared differences of the ranks, we utilize the formula for Spearman's rank correlation coefficient:

rs = 1 - ( (6 ∑ d2 ) / (n(n2 - 1)) )

where d is the difference between the ranks of each pair and n is the number of pairs of scores. However, with the given information and without the ordered ranks and the differences of ranks, we cannot proceed to calculate the coefficient directly. We also need to note that if the variables show a curvilinear relationship or no clear linear relationship, Spearman's correlation would be a better measure of correlation than Pearson's.

The student should rank the values, compute the differences, square those differences, and substitute into the above formula to find Spearman's rank correlation coefficient.

Explanation:

According to gas equation  P₁V₁/T₁ = P₂V₂/T₂

Where P₁ is the initial pressure , V₁ is the initial volume and T₁ is the initial temperature

P₂ is the final pressure , V₂ is the final volume and T₂ is the final temperature

Thus P₁ = 15 atmosphere  , V₁ = 12 liters and T₁ = 273 + 20 = 293 K

P₂ = ? , V₂ = 8.5 liters , T₂ = 273 + 35 = 308 K

From gas equation P₂ = P₁V₁T₂/T₁V₂ = 15 x 12 x 308/ 293 x 8.5

= 22.3 atmosphere .

If the volume is doubled

The gas equation will be P₁V₁ = P₂V₂ ;  because temperature is constant

Here V₂ = 2 V₁  therefore  pressure P₂ = P₁/2 = 22.3/2 = 11.1 atmosphere

Answer:convection

Explanation:

Convection can cause convection

Answer:

conduction is the answer

Explanation:

Answer:

The kinetic energy

Explanation:

The value of Ek represents the kinetic energy of a body and it is defined by the following equation

[tex]E_{k}=\frac{1}{2} *m*v^{2} \\[/tex]

where:

m = mass [kg]

v = velocity [m/s]

Ek = kinetic energy [J]

The equation [tex]\rm \(E_k = \frac{1}{2} m \times v^2\)[/tex] represents the kinetic energy [tex]\rm (\(E_k\))[/tex] of an object in motion. In this equation, [tex]\rm \(m\)[/tex] represents the mass of the object, and [tex]\rm \(v\)[/tex] represents its velocity.

Kinetic energy is the energy an object possesses due to its motion. The term [tex]\rm \(\frac{1}{2} m \times v^2\)[/tex] calculates the kinetic energy by taking half of the product of the object's mass and the square of its velocity.

As an object's speed increases, its kinetic energy also increases, and kinetic energy is directly proportional to both the mass and the square of the velocity of the object.

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Answer: the frequency of the oscillation is given by ω=√(k/m)=√(18.9/2.5)=2.75.  Keep in mind this is angular frequency, i.e. radians per second, not wavelengths per second.  So the displacement can be written in the form

y = R*sin(2.75*t - δ)

Here δ is just the time offset and for our purposes is pretty irrelevant.  You can in fact set it to zero since we can say we begin timing when the mass crosses equilibrium.  So

y = R*sin(2.75*t)

We want to find a way to use the information "At the equilibrium position, it moves 2.89 m/s."  I am going to use some calculus here since it makes things so much easier.  If you haven't taken calculus yet, most likely your course has given you a formula to use instead.

 We know y=0 when t=0, so y is at equilibrium when t=0.  To say it moves 2.89 m/s is then to say that

y'(0) = 2.89.

From here we can differentiate the displacement function, set t=0 and solve for R.  Using the chain rule:

y'(t) = 2.75*R*cos(2.75*t)

y'(0) = 2.75*R

2.75*R = 2.89

R = 1.051

Explanation: Since this is harmonic motion we can assume there is no damping force

Answer:

its .33

Explanation:

trust me

The Energy stored in the spring is 0.196 joules(0.2 joule)

Here mass = 2.0 kg

the length for which the spring extended 'x' = 2 cm

since 1m =100cm, therefore 2cm will be equal to 0.02 m so x=0.02m

Acceleration due to gravity or 'g'= 9.8 m/s^2

We have to find E = ? joules

Solving for the spring constant k

F = kx

F=mg

Therefore,

mg = kx

k = mg / x

k = 2.0 kg * 9.8 m/s^2 / 0.02 m = 980 N / m

Solving for the energy stored in the spring

E = 1/2 * k * x^2

E = 1/2 * 980 N / m * (0.02 m)^2

E = 0.196 joules

The energy stored in the spring will be 0.196 joules.

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Answer:

78.4 J

Explanation:

Given:

Mass of the object (m) = 2.0 kg

Height or displacement of the mass (h) = 4.0 m

Now, change in gravitational potential energy (ΔU) = ?

Change in gravitational potential energy of an object is the energy stored by the object when it is raised to some height above the reference ground level.

Change in gravitational potential energy of an object of mass 'm' raised to a height 'h' above the ground is given as:

[tex]\Delta U=mgh[/tex]

Where, 'g' is the acceleration due to gravity and has a value of 9.8 m/s².

Now, plug in all the given values and solve for ΔU. This gives,

[tex]\Delta U=(2.0\ kg)(9.8\ m/s^2)(4.0\ m)\\\\\Delta U=78.4\ J[/tex]

Therefore, the change in gravitational potential energy is 78.4 J.

The change in gravitational energy when a 2.0 kg mass is lifted 4.0 m above the ground is [tex]\(78.4 \, \text{J}\)[/tex].

The change in gravitational potential energy [tex](\(\Delta U\))[/tex] when a mass \(m\) is lifted to a height [tex]\(h\)[/tex] is given by the formula:

[tex]\[\Delta U = m \times g \times h\][/tex]

where:

[tex]\(m\)[/tex] is the mass of the object (in kilograms),

[tex]\(g\)[/tex] is the acceleration due to gravity (approximately [tex]\(9.8 \, \text{m/s}^2\)[/tex] on Earth),

[tex]\(h\)[/tex] is the height above the ground (in meters).

Given:

[tex]\(m = 2.0 \, \text{kg}\)[/tex]

[tex]\(h = 4.0 \, \text{m}\)[/tex]

[tex]\(g \approx 9.8 \, \text{m/s}^2\)[/tex]

Plugging in the values:

[tex]\[\Delta U = 2.0 \, \text{kg} \times 9.8 \, \text{m/s}^2 \times 4.0 \, \text{m}\][/tex]

[tex]\[\Delta U = 78.4 \, \text{kg} \cdot \text{m}^2/\text{s}^2\][/tex]

Since [tex]\(1 \, \text{kg} \cdot \text{m}^2/\text{s}^2\)[/tex] is equivalent to [tex]\(1 \, \text{Joule}\) (J)[/tex], the change in gravitational potential energy is:

[tex]\[\Delta U = 78.4 \, \text{J}\][/tex]

Answer: Stationary reference points are used to determine if a object is in motion because if the reference point is still,you will be able to see if the object is in motion. If you had a reference point that wasn't stationary, you wouldn't be able to tell if the object was in motion.

Explanation:

Stationary reference points are used to determine if a object is in motion because if the reference point is still,you will be able to see if the object is in motion. If you had a reference point that wasn't stationary, you wouldn't be able to tell if the object was in motion.

Choosing a stationary reference point is important to determine motion because motion is relative and can appear differently from different reference frames.

A stationary reference point is usually chosen to determine whether an object is in motion because motion is a relative term. When we observe motion from a reference point that is stationary, we can easily identify the displacement and velocity of the object. For example, if we are in a car that is moving at a constant velocity, it may be difficult to determine whether an object inside the car is moving or not. However, if we observe the same object from outside the car, from a stationary reference point, we can clearly see whether it is in motion or not.

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1) The ratio between the number of turns of the two electromagnets is 2

2) The ratio between the number of paper clips picked up is 2.2

Explanation:

1)

An electromagnet is a device consisting of a coil of wire wrapped around an iron core. Such a device is able to create a magnetic field, and in this problem this is used to attract and pick up the paper clips.

In this problem, we have two electromagnets:

- The first one has 50 turns

- The second one has 25 turns

Therefoore, the ratio of the number of turns of the 50-turn electromagnet to the number of turns of the 25-coil electromagnet is:

[tex]\frac{N_1}{N_2}=\frac{50}{25}=2[/tex]

2)

The strength of the magnetic field produced by an electromagnet is directly proportional to the number of turns in the coil wrapped on the electromagnet:

[tex]B\propto N[/tex]

This means that the electromagnet with more turns will produce a stronger magnetic field, and therefore it will be able to pickup more paper clips.

In this problem, in fact:

- The electromagnet with 50 turns can pick up 13 paper clips

- The electromagnet with 25 turns picks up 6 paper clips

Therefore, the ratio of the number of paper clips picked up is:

[tex]\frac{p_1}{p_2}=\frac{13}{6}=2.2[/tex]

And we see that this ratio is approximately equal to the ratio of the number of turns, which is 2.

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Answer:4.0*10^5 joules

Explanation:

Answer:

1.13m

Explanation:

From the question, we obtained the following information:

W = 2J

m = 180g

We must convert this gram (i.e 180g) to kg

1000g = 1Kg

180g = 180/1000 = 0.18kg

g = 9.8m/s2

h =?

w = mgh

h = w / mg

h = 2 / ( 0.18x9.8)

h = 1.13m

Answer:

Vc = 60[v], I = 5[amp]; Vx = 20 [v]

Explanation:

To solve this problem we have to perform a mesh analysis, we identify the meshes of the circuit we can appreciate that they are two meshes, in each we suppose a direction of current and we make a sum of voltages equal to zero for each mesh. Remember that ohm's voltage by law is defined as the product of current by resistance.

In the attached image, you can see the direction of the supposed current in each of the meshes, from this analysis we obtain two equations with the I & i2 currents

Mesh 1

[tex]60+(6*i)-(6*i_{2})+8*i = 0\\60+(14*i)-(6*i_{2})=0[/tex]

Mesh 2

[tex](12*i_{2}) + (6*i_{2})-(6*i)=0\\(18*i_{2})-(6*i)=0\\(18*i_{2})=(6*i)\\i = 3*i_{2}[/tex]

Now we can find the current i, replacing in the first equation.

[tex]60+(14*3*i_{2})-(6*i_{2})=0\\-60= (42-6)*i_{2}\\i_{2} = - 1.66666[amp]\\[/tex]

and

i = 3* (-1.66666)

i = -5 [amp]

Note: The negative sign means that the current has the opposite direction to the supposed originally.

Therefore:

Vc = 60 [v]

io = 5 [amp]

Now to determine the current in the resistance of 6 [ohms], we must know the current that passes through it, by means of a summation of currents in any of its nodes.

This current is equal to:

-1.66 = I + (-5)

I = 3.33[amp]

And using the ohm's law we can find the voltage

Vx = (3.33*6)

Vx = 20 [V]

The final speed of a body after 2.23 s with a positive acceleration of 2.64 m/s² is 12.988 m/s. With a negative acceleration of -2.64 m/s², the speed after 2.23 s is 1.212 m/s.

To find out the speed of a body after 2.23 s when it accelerates uniformly, we need to use the formula for calculating final velocity (v) which is:
v = u + at, where:

For the first scenario with an acceleration of 2.64 m/s², we have:

v = 7.1 m/s + (2.64 m/s² × 2.23 s) = 7.1 m/s + 5.888 m/s = 12.988 m/s.

For the second scenario with an acceleration of -2.64 m/s² (which indicates deceleration), we have:

v = 7.1 m/s + (-2.64 m/s² × 2.23 s) = 7.1 m/s - 5.888 m/s = 1.212 m/s.

Therefore, the final speed after 2.23 s with a positive acceleration of 2.64 m/s² is 12.988 m/s, and with a negative acceleration (deceleration) of -2.64 m/s², the final speed is 1.212 m/s.

Yo sup??

the correct answer is option B ie

B. transfer of heat between two objects that are touching .

Hope this helps.

Answer:

Circuit breakers

Explanation:

This is an automatic device designed for stopping the flow of current in an electric circuit as a safety measure.

Ground Fault Circuit Interrupters (GFCIs), circuit breakers, and fuses are designed to interrupt the current flow of electricity when unsafe conditions arise.

Ground Fault Circuit Interrupters (GFCIs), circuit breakers, and fuses are all designed to interrupt the current flow of electricity when unsafe conditions arise. GFCIs are specifically designed to detect ground faults, which occur when current leaks to the ground, and they quickly shut off the power to prevent electric shocks. Circuit breakers monitor the current flowing through a circuit and trip when the current exceeds a certain threshold, protecting against overloads and short circuits. Fuses also protect against overloads and short circuits by melting and interrupting the current flow.

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Explanation:

V=IR; I=V/R

V=120V, R=10

I= 120/10=12

The current in the circuit is 12A

The current in a 120V circuit with a resistance of 10 ohms is 12 amperes, as calculated using Ohm's Law.

To calculate the current in a 120V circuit with a resistance of 10 ohms, you can use Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). Thus,

I = V / R

I = 120V / 10Ω

I = 12A

The current in the circuit is therefore 12 amperes (A).

Answer:

100Kg.m/s

Explanation:

From the question, we obtained the following information:

M= Mass = 25kg

V = Velocity = 4m/s

Momentum =?

Momentum = MV = 25x4= 100Kg.m/s

Which changes?

Explanation:

What are your options?

Answer:

counseling psychologist

The correct answer for 5 is Electrons

Answer:

the electron.

Explanation:

the atom has 3 types of particles: protons, neutrons, and electrons. protons have a positive charge, neutrons have a neutral charge, and they are both located in the nucleus. the electron is negatively charged, and it's located in the electron cloud, outside the nucleus.

Answer: D

Explanation:

The graph that represents an object increasing its position with a constant velocity is Graph B because a straight, diagonal line indicates the object is moving with a constant velocity, and a positive slope means it is increasing its position. Hence, option (D) is correct.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Mathematically:

velocity = ( final position - initial position)/time interval

Hence,

Final position = initial position + velocity ×time interval

Hence, the x-t graph of a  object with constant velocity, is linear in nature with a positive slope. Hence, graph (B) is the correct option.

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The net force on the rocket is  846400 N.

Answer:

Explanation:

It is known that weight is the influence of gravitational force acting on any mass of the object. So in the present case, the weighing force given is equal to the gravitational force acting on the rocket. Thus, the gravitational force will be acting towards downward direction. But an upward force is required by the rocket for thrusting purpose and that force is given as upward force. So the net force acting on the rocket is the vector addition of all the forces acting on the rocket. As in this case, only upward and downward force is acting on the rocket. The vector addition will be equal to subtraction of downward acting gravitational force from upward force or force provided by engine.

Net force = Engine force - Gravitational force = 890000-43600=846400 N

So the net force acting on the rocket is 846400 N.

Final answer:

The net force on the rocket is the difference between the upward thrust and the weight of the rocket. However, once the rocket reaches constant velocity, the net force is zero, assuming no changes in other forces acting on the rocket.

Explanation:

The net force on the rocket can be calculated using Newton's second law of motion, which states that the net force is equal to the mass times acceleration (F = ma). To find the net force, the weight of the rocket (gravitational force acting downward) needs to be subtracted from the upward thrust provided by the engine.

Fnet = Fthrust - Fweight

If we are not given the mass of the rocket or information about changes in the velocity to calculate acceleration, it's assumed that the rocket is in a constant velocity phase of its flight, meaning the net force equals to zero, since acceleration is zero. If acceleration were to be considered, it would've been calculable only with additional information pertaining to the time it takes to reach that velocity or change in velocity over time.

In the example provided, the weight of the rocket is 4.36 x 104 N and the thrust is 8.90 x 105 N. Once the rocket reaches its maximum speed, the acceleration is zero, and therefore the net force should also be zero as it will be cruising at a constant speed, provided there is no change in the forces acting on the rocket.

Answer:

the answer ia A

Explanation:

The wavelength of the given data will be 30 cm since the unit of wavelength is meter or centimeter.

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometers, and other units since it is a distance measurement.

The relationship between the wave's wavelength, frequency, and speed is given as

[tex]\rm wavelength = \dfrac{speed of light} { frequency}[/tex]

Hence the wavelength of the given data will be 30 cm

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