1. Two spherical objects have masses of 300 kg and 140 kg. Their centers are separated by a
distance of 1.7 m. Find the gravitational attraction between them.

To determine the magnitude of the magnetic force experienced by proton 2 compared to proton 1, we need more information about the specific situation.

The magnetic force experienced by a charged particle depends on the strength of the magnetic field, the velocity of the particle, and the charge of the particle. Without knowing the specifics of these factors, it is impossible to determine the relative magnitude of the magnetic force experienced by proton 1 and proton 2. Therefore, the answer to the question is: we cannot determine whether the magnitude of the magnetic force experienced by proton 2 is greater than, less than, or equal to the force experienced by proton 1 without additional information.

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a) Angular frequency is  12.75 rad/s b)  The wave number is 33.59m c)

y ( x ,t) = 2.34  x  sin(33.59 x - 12.75t)

Given,

wavelength = λ = 18.7 cm

                   = 0.187 m

amplitude , A = 2.34 cm

v = 0.38 m/s

A) angular frequency = ?

f = v/λ

f = 0.38/1.87 = 2.03

angular frequency ,

ω = 2π f

ω = 2π x 2.03

ω = 12.75 rad/s

B) the wave number,

K = 2π/λ = 33.59m

c) as the wave is propagating in -x direction, the sign is positive between x and t

y ( x ,t) = A sin(k  x - ω t)

y ( x ,t) = 2.34  x  sin(33.59 x - 12.75t)

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Answer:

The correct answer is - 47 years.

Explanation:

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is :

time (t) = log(N/N0)/r (time)

here,

N0 (initial population) = The population at time t = 0.

N (future population) = The population at time t.

r (rate) = The rate of population change as a function of t

by the formula

t = log (2/1)/0.015

t =  46.666 years or 47 years approx.

The population of each country will become double in 47 years. hence option (A) is correct.

Given data:

The population of Dominican republic is, n = 10.7 million.

The growth rate of Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is, p' = 1.5 %.

The doubling time of the population growth depends on the rate of population growth. The formula for the calculation of the doubling time is given as,

\(t = \dfrac{ln\dfrac{n}{n_{0}}}{p}\)

Here,

\(n\) is the final population and  \(n_{0}\) is the initial population and for doubling the value in future, \(n = 2 \times n_{0}\).

Solving as,

\(t = \dfrac{ln\dfrac{2\times n_{0}}{n_{0}}}{1.5/100}\\\\t \approx 47 \;\rm years\)

Thus, we can conclude the population of each country will become double in 47 years.

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Max attends a party and does not make eye contact with his acquaintance Sam therefore they view each other's behavior as the following:

This is a form of nonverbal communication and it occurs when two people look at each other's eyes at the same time.

In a scenario where Max attends a party and does not make eye contact with his acquaintance Sam then it will make the latter have a socially awkward of something not seeming right due to the feeling of him not being comfortable.

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Given:

Energy = 1 kWh

Voltage = 220 Volts

Let's find the amount of electric current that must flow through the light bulb.

To find the amount of electric current, apply the formula:

Where:

P is the power in watts = 1 kWh = 1000 Watts

V is the voltage = 200 V

I is the electric current.

Rewrite the formula for I and solve:

Therefore, the amount of electric current that must flow through the light bulb is 4.5 Ampere

ANSWER:

4.5 A

Answer:

This one:

Explanation:

Khan academy answer

Answer:

Force = 2802.8 Newton

Explanation:

Given the following data;

Mass = 130 lbs

But, 2.2 lbs = 1.0 kg

130 lbs to kg = 130 * 2.2 = 286 kg

Acceleration due to gravity = 9.8m/s²

To find the force in Newton;

Force = mass * acceleration due to gravity

Force = 286 * 9.8

Force = 2802.8 Newton

Answer: answer is B

Explanation:

Answer:

m = 369 grams

Explanation:

Given that,

The density of backpack, d = 30 g/mL

The volume of the backpack, V = 12.3 cm³

We need to find the mass of the backpack. The density of an object is given by :

\(d=\dfrac{m}{V}\\\\m=d\times V\\\\m=30\times 12.3\\\\m=369\ g\)

So, the mass of the backpack is 369 grams.

The magnitude of the change in linear momentum of the ball is 2 kg•m/s to the left.

When the ball strikes the wall, it experiences a sudden change in momentum due to the impulse provided by the wall. Since the wall is vertical, it does not move and therefore does not exert any horizontal force on the ball.

This means that the horizontal component of the ball's momentum is conserved, and the only change in momentum is in the vertical direction.

Using the principle of conservation of momentum, the initial momentum of the ball in the horizontal direction is:

p₁ = m₁v₁ = (0.5 kg)(6 m/s) = 3 kg•m/s

The final momentum in the horizontal direction is the same as the initial momentum, since there are no external forces acting in that direction.

In the vertical direction, the initial momentum is:

p₁ = m₁v₁ = (0.5 kg)(6 m/s) = 3 kg•m/s

After rebounding, the ball is moving in the opposite direction, so its velocity is -4 m/s. Therefore, the final momentum in the vertical direction is:

p₂ = m₁v₂ = (0.5 kg)(-4 m/s) = -2 kg•m/s

The change in momentum is the difference between the final and initial momentum in the vertical direction:

Δp = p₂ - p₁ = (-2 kg•m/s) - (3 kg•m/s) = -5 kg•m/s

Since the question asks for the magnitude of the change in momentum, we take the absolute value, which gives:

|Δp| = |-5 kg•m/s| = 5 kg•m/s

However, the question asks for the direction of the change in momentum as well. Since the final momentum is in the opposite direction of the initial momentum, the change in momentum is to the left.

Therefore, change in linear momentum is 2 kg•m/s to the left.

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Answer: Planets would be pulled into the sun

Explanation:

This is the correct answer.

The estimated demand for Week 4 is 36.3

MAD(Mean Absolute Deviation) is used to calculate the average difference between forecast values and actual values. It calculates the deviation by taking the absolute value of the difference between actual and forecasted demand. The formula to calculate Mean Absolute Deviation is:

MAD= Sum of| Actual demand - Forecast demand | / number of periods

In the given table, the Actual demand is shown as B and the forecast demand is shown as F.

B Actual Forecast 11 40 41 35 38 3 38 35 33 30

Calculation of MAD:

Actual (B) Forecast (F) |B-F|11 40 29.041 35 5.043 38 0.053 3 35.054 38 3.055 35 0.056 33 3.057 30 3.058 0.0 30.0Total 103.0

The number of periods is 9 as shown in the table.

MAD= 103/9MAD= 11.44

Mean Squared Error (MSE) measures the average squared difference between the actual and forecasted values. The formula for MSE is:

MSE= Sum of (Actual demand - Forecast demand)^2 / number of periods.

Calculation of MSE:

Actual (B) Forecast (F) (B-F)^2 11 40 841 35 25 625 38 0 0 3 35 484 38 0 0 35 33 4 30 0 900Total 2854

The number of periods is 9 as shown in the table.

MSE= 2854/9MSE= 317.1

Therefore, the calculated MAD is 11.44 and MSE is 317.1.

Trend Projection formula is given by:

Y = a + bx

where Y is the estimated demand for a particular period.

a is the Y-intercept

b is the slope of the regression line x is the period number

In the given table, the Week number is shown as X and the Actual demand is shown as Y.

Week number Actual Demand 11 24 22 29

Using trend projection for Week 3, we can calculate the demand as follows:

Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*22 - 1*24)/(2*3 - 1*1) = 20/5 = 4

Intercept (a) = Σy/n - b(Σx/n) =(24+22)/2 - 4(2/2) = 23Y = a + bx = 23 + 4(3) = 35

Therefore, the estimated demand for Week 3 is 35.

Using trend projection for Week 4, we can calculate the demand as follows:

Slope (b) = (nΣ(xy) - Σx Σy) / (nΣ(x^2) - (Σx)^2) =(2*29 - 1*24)/(2*5 - 1*1) = 34/9 = 3.78

Intercept (a) = Σy/n - b(Σx/n) =(24+22+29)/3 - 3.78(2.0) = 21.5Y = a + bx = 21.5 + 3.78(4) = 36.3

Therefore, the estimated demand for Week 4 is 36.3.

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The three basic types of carburetors as defined by airflow through the carburetor are: updraft, downdraft, and sidedraft carburetors.

Carburetors are devices used in internal combustion engines to mix air and fuel in the correct proportions for efficient combustion. The three basic types of carburetors are determined by the direction of airflow through the carburetor. Updraft carburetors have the air and fuel mixture entering the engine from below, while downdraft carburetors have the air and fuel mixture entering from above.

Sidedraft carburetors have the air and fuel mixture entering from the side. Each type of carburetor has its own advantages and disadvantages, and the choice of carburetor depends on the specific application and engine requirements.

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False. Increasing the mass attached to a spring will decrease the period of its vibrations.

what is vibrations ?

Vibrations are oscillations in physical systems that happen in the form of kinetic energy being transferred from one point to another. They are caused by a variety of factors, including sound waves, mechanical forces, and electrical currents. Vibrations can produce both audible and inaudible sound, and can be felt as a physical sensation.

Vibrations travel through materials and can be measured using a variety of devices such as accelerometers and vibration meters. In machines and structures, vibrations can indicate the level of stress or strain on components and are used to monitor the health and performance of the system. Vibrations can cause unwanted noise and wear on components, and can be prevented by damping or isolation.

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The moment of inertia for a disk with mass of 500g and radius of 12cm rotated about its diameter is 7.2 × 10-³kgm².

Moment of inertia is a measure of a rigid body's resistance to change in its angular velocity around a given axis.

The formula for the moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as follows:

I = mr²

Where;

According to this question, a disk with mass of 500g and radius of 12 cm rotated about its diameter. The moment of inertia can be calculated as follows:

I = 0.5kg × 0.12²m

I = 7.2 × 10-³kgm²

Therefore, 7.2 × 10-³kgm² is the moment of inertia of the disk.

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Answer:

D

Explanation:

Cool air sinks because it's denser and warm rises because it's less dense.

This is the principle you have in your air conditioning.

As the air is cooled it keeps falling that's why it's necessary to tilt the vents of of an AC at 45° so that the cold air would be well circulated.

The magnitude of the force with which the apple has resisted the arrow is 88.06 Newton.

Using, work-energy theorem,

According to which, the work done by the all the forces on the body is equal to the change in kinetic energy of the body.

So, we can write,

Work done = ∆KE

We know,

Work done = force × displacement

The force is the resistive force by the apple and the displayed is given to be 0.075 meters.

So, we can write,

F(0.075) = 1/2M(V²-U²)

Where,

M is the mass of apple,

V is final velocity,

U is initial velocity.

Putting all the values,

F(0.075) = 1/2(0.0213)((25.3)²-(35.5)²)

Solving further,

F = 88.06 Newton

The resistive force of the apple is 88.06 Newton.

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If the distance from a point charge is doubled, the electric field strength at that point decreases by a factor of 4. Thus, the new field strength in N/C can be calculated using this relationship.

The electric field strength (E) at a point near a point charge is inversely proportional to the square of the distance (r) from the charge. Mathematically, E ∝ 1/\(r{2}\)\(r^{2}\)

When the distance from the point charge is doubled, the new distance becomes 2r. Substituting this into the relationship, we have E' ∝ 1/(2r)\(^{2}\) = 1/(4r^2). From this, we can see that the new electric field strength (E') is equal to the original field strength (E) divided by 4.

Given that the original electric field strength is 1000 N/C, we can calculate the new field strength as follows: E' = E / 4 = 1000 N/C / 4 = 250 N/C.

Therefore, if the distance from the point charge is doubled, the new electric field strength would be 250 N/C.

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The depth of oil is 43 m

We know that

P = ρ g h

where,

P = Pressure of fluid

ρ = Density of fluid

g = Acceleration due to gravity

h = Depth of fluid

Given that,

P = 46 psig = 3.2 * \(10^{5}\) N / \(m^{2}\)

s = 0.75

ρ = 0.75 * 1000 = 750 kg / \(m^{3}\)

g = 9.81 m / \(s^{2}\)

Here we round the value of g = 10 m / \(s^{2}\)

h = P / ρ g

h = ( 3.2 * \(10^{5}\) ) / ( 750 * 10 ) = 42.67 m

h = 43 m

Fluid pressure is the measurement of force per unit area that acts on an object in the fluid.

Therefore, the depth of oil is 43 m

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The density of the compressed sphere is 8 times the original density.

The initial volume of the styrofoam sphere is

V1 = (4/3)πr³, and its mass is M = ρV1.

After compressing the sphere, its new radius is r/2, and its new volume is

V2 = (4/3)π(r/2)³.

The mass remains constant during compression.

To find the density of the compressed sphere (ρ'), use the formula ρ' = M/V2.

Since M = ρV1, we have ρ' = (ρV1)/V2.

Substituting the volume equations and simplifying, we get ρ' = 8ρ.

The density of the compressed sphere is 8 times the original density.

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The battery stores 6.9 MJ (megajoules) of energy. To calculate this, multiply the voltage of 12 V by the Amp-hour rating of 160 A-h. The result is 1920 watt-hours (12 V x 160 A-h = 1920 Wh). Since 1 Wh = 0.0036 MJ, the total energy stored is 1920 x 0.0036 MJ = 6.9 MJ. Answer is option e

The energy stored in a battery can be calculated by multiplying the battery's voltage (V) by its capacity in ampere-hours (Ah). In this case, the battery is rated at 12 V and 160 Ah, so the energy stored can be calculated as:

Energy (in Joules) = Voltage (in Volts) x Capacity (in Ampere-hours) x 3600 seconds

Where 3600 seconds is the number of seconds in an hour. Plugging in the given values, we get:

Energy = 12 V x 160 Ah x 3600 seconds

Energy = 6,912,000 Joules

To convert Joules to other units, we can use the following conversion factors:

1 Joule = 0.001 kilojoules (kJ)

1 Joule = 1 x 10^-6 megajoules (MJ)

Therefore, the energy stored in the battery is 6,912,000 Joules, which is equivalent to 6.9 MJ

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Answer:

what's your problem. How may I help you Buddy

Answer:

Approximately \(3.43\; {\rm m\cdot s^{-2}}\), assuming that air resistance is negligible in both occasions, and that \(g_{\text{earth}} = 9.81\; {\rm m\cdot s^{-2}}\) near the surface of the Earth.

Explanation:

Let \(x\) denote the displacement of the marker. Let \(a\) denote the acceleration of the marker. Let \(t\) denote the time it takes for the marker to reach the ground.

Under the assumptions, acceleration of the marker would be constant, and the SUVAT equations would apply. Rearrange the SUVAT equation \(x = (1/2)\, a\, t^{2}\) to find acceleration \(a\):

\(\begin{aligned}a &= \frac{2\, x}{t^{2}}\end{aligned}\).

Let \(a_{\text{Mars}}\) and \(t_{\text{Mars}}\) denote the acceleration and time taken on Mars. Similarly, let \(a_{\text{Earth}}\) and \(t_{\text{Earth}}\) denote the acceleration and time taken on Earth. It is implied that the Marker travelled the same distance (same displacement, \(x\)) both on Earth and on Mars.

Using the SUVAT equation from above:

\(\begin{aligned}a_{\text{Mars}} &= \frac{2\, x}{{t_{\text{Mars}}}^{2}}\end{aligned}\).

\(\begin{aligned}a_{\text{Earth}} &= \frac{2\, x}{{t_{\text{Earth}}}^{2}}\end{aligned}\).

\(\begin{aligned}\frac{a_{\text{Mars}}}{a_{\text{Earth}}} &= \frac{\displaystyle \frac{2\, x}{{{t_{\text{Mars}}}^{2}}}}{\displaystyle \frac{2\, x}{{{t_{\text{Earth}}}^{2}}}} \end{aligned}\).

\(\begin{aligned}\frac{a_{\text{Mars}}}{a_{\text{Earth}}} &= \left(\frac{{t_{\text{Earth}}}}{{t_{\text{Mars}}}}\right)^{2}\end{aligned}\).

\(\begin{aligned}a_{\text{Mars}} &= \left(\frac{{t_{\text{Earth}}}}{{t_{\text{Mars}}}}\right)^{2}\, a_{\text{Earth}} \\ &= \left(\frac{1.3\; {\rm s}}{2.2\; {\rm s}}\right)^{2}\, (9.81\; {\rm m\cdot s^{-2}}) \\ &\approx 3.43\; {\rm m\cdot s^{-2}}\end{aligned}\).

The direction of momentum of the steel ball after the head-on collision with the lead ball can be determined using the law of conservation of momentum, which states that the total momentum of an isolated system remains constant if no external forces act on it.

The collision, the initial momentum of the steel ball can be calculated as the product of its mass (50 g) and velocity (5 m/s), which is 250 g m/s. The lead ball, being at rest, has an initial momentum of zero. After the collision, the two balls will stick together and move as a single object due to their deformation and interlocking of their surfaces. The total mass of the combined object will be 550 g. Using the law of conservation of momentum, the total momentum of the system after the collision will be equal to the initial momentum, which is 250 g m/s. Since the lead ball is much heavier than the steel ball, it will not move much and most of the momentum will be carried by the steel ball. Therefore, the direction of momentum of the steel ball after the collision will be in the opposite direction to its initial motion, which is from right to left, making a 180° reversal. Therefore, the correct answer is B.

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