How much weight can be placed on the spring so that the end of the spring is 2m above the ground?

The displacement of Edward in the westerly direction is determined as 180.27 km.

The displacement of Edward is calculated as follows;

R² = a² + b² - 2abcosθ

R² = 150² + 200² - 2(150 x 200) x cos60

R² = 32500

R = 180.27 km

Thus, the displacement of Edward in the westerly direction is determined as 180.27 km.

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Remember Coulomb's law: the magnitude of the electric force F between two stationary charges q₁ and q₂ over a distance r is

[tex]F = \dfrac{kq_1q_2}{r^2}[/tex]

where k ≈ 8,98 × 10⁹ kg•m³/(s²•C²) is Coulomb's constant.

8.1. The diagram is simple, since only two forces are involved. The particle at Q₂ feels a force to the left due to the particle at Q₁ and a downward force due to the particle at Q₃.

8.2. First convert everything to base SI units:

0,02 µC = 0,02 × 10⁻⁶ C = 2 × 10⁻⁸ C

0,03 µC = 3 × 10⁻⁸ C

0,04 µC = 4 × 10⁻⁸ C

300 mm = 300 × 10⁻³ m = 0,3 m

600 mm = 0,6 m

Force due to Q₁ :

[tex]F_{Q_2/Q_1} = \dfrac{k (6 \times 10^{-16} \,\mathrm C)}{(0,3 \, \mathrm m)^2} \approx \boxed{6,0 \times 10^{-5} \,\mathrm N} = 0,06 \,\mathrm{mN}[/tex]

Force due to Q₃ :

[tex]F_{Q_2/Q_3} = \dfrac{k (12 \times 10^{-16} \,\mathrm C)}{(0,6 \, \mathrm m)^2} \approx \boxed{3,0 \times 10^{-5} \,\mathrm N} = 0,03 \,\mathrm{mN}[/tex]

8.3. The net force on the particle at Q₂ is the vector

[tex]\vec F = F_{Q_2/Q_1} \, \vec\imath + F_{Q_2/Q_3} \,\vec\jmath = \left(-0,06\,\vec\imath - 0,03\,\vec\jmath\right) \,\mathrm{mN}[/tex]

Its magnitude is

[tex]\|\vec F\| = \sqrt{\left(-0,06\,\mathrm{mN}\right)^2 + \left(-0,03\,\mathrm{mN}\right)^2} \approx 0,07 \,\mathrm{mN} = \boxed{7,0 \times 10^{-5} \,\mathrm N}[/tex]

and makes an angle θ with the positive horizontal axis (pointing to the right) such that

[tex]\tan(\theta) = \dfrac{-0,03}{-0,06} \implies \theta = \tan^{-1}\left(\dfrac12\right) - 180^\circ \approx \boxed{-153^\circ}[/tex]

where we subtract 180° because [tex]\vec F[/tex] terminates in the third quadrant, but the inverse tangent function can only return angles between -90° and 90°. We use the fact that tan(x) has a period of 180° to get the angle that ends in the right quadrant.

What will most likely lead a scientist to investigate a blood-thinning agent in the saliva of vampire bats is curiosity.

Curiosity is defined as an inquisitive trait which is one of the qualities of a good scientist which drives them to discover more in their field.

For a scientist to investigate a blood-thinning agent in the saliva of vampire bats would have been driven by curiosity to do so.

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A. The ball's (vertical) velocity [tex]v[/tex] at time [tex]t[/tex] is

[tex]v(t) = 30\dfrac{\rm m}{\rm s} - gt[/tex]

so that after 4 seconds, the ball's speed is

[tex]|v(4\,\mathrm s)| = \left|30\dfrac{\rm m}{\rm s} - \left(10\dfrac{\rm m}{\mathrm s^2}\right) (4\,\mathrm s)\right| = \boxed{10\frac{\rm m}{\rm s}}[/tex]

(The velocity is -10 m/s, so the ball is falling back down at this point.)

B. At maximum height, the ball has zero velocity, so it takes

[tex]30\dfrac{\rm m}{\rm s} - gt = 0 \implies t = \dfrac{30\frac{\rm m}{\rm s}}g = \boxed{3\,\mathrm s}[/tex]

for the ball to reach this height.

C. The height of the ball [tex]y[/tex] at time [tex]t[/tex] is

[tex]y(t) = \left(30\dfrac{\rm m}{\rm s}\right) t - \dfrac g2 t^2[/tex]

The maximum height is attained by the ball at 3 seconds after it's thrown, so

[tex]y_{\rm max} = \left(30\dfrac{\rm m}{\rm s}\right) (3\,\mathrm s) - \dfrac{10\frac{\rm m}{\mathrm s^2}}2 (3\,\mathrm s)^2 = \boxed{45\,\mathrm m}[/tex]

D. The time it takes for the ball to reach its maximum height is half the time it spends in the air. So the total airtime is [tex]\boxed{6\,\mathrm s}[/tex].

Put another way: When the ball returns to the height from which it was thrown, its final velocity has the same magnitude as its initial velocity but points in the opposite direction. This is to say, after the total time the ball is in the air, it's final velocity will be -30 m/s. Then the total airtime is

[tex]30\dfrac{\rm m}{\rm s} - gt = -30\dfrac{\rm m}{\rm s} \implies t = \dfrac{60\frac{\rm m}{\rm s}}g = \boxed{6\,\mathrm s}[/tex]

Put yet another way: Solve [tex]y(t) = 0[/tex] for [tex]t[/tex]. I don't see a need to elaborate...

Answer:

A+B+C=7j+k

Explanation:

A=3i+4j

B=2i-2j+4k

C=i+5j-3k

A=3i+4j

+

B=2i-2j+4k

i+2j+4k

A+B=i+2j+4k

+

C=-i+5j-3k

7j+k

A+B+C=7j+k

Answer:

Explanation:

X-rays are produced due to sudden deceleration of fast-moving electrons when they collide and interact with the target anode. In this process of deceleration, more than 99% of the electron energy is converted into heat and less than 1% of energy is converted into x-rays

The components of the net force on the cart is determined as 67.66 N.

The component of net force on the cart is determined by resolving the forces into x and y -components.

T1 = 30 N

T2 = 40 N

T1x = -30cos(0) = 30 N

T1y = 30sin(0) = 0

T2x = 40 x cos(30) = 34.64 N

T2y = 40 x sin(3) = 20 N

∑X = 30 N + 34.64 N = 64.64 N

∑Y = 0 + 20 N = 20 N

R = √(64.64² + 20²)

R = 67.66 N

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In the balanced nuclear reaction of uranium 235, we have thorium 231, helium atom and energy released at the right of the equation

The balanced nuclear reaction of uranium is determined as follows;

[tex]^{235}_{92}U\ --- > \ ^4_2He\ + \ ^{231}_{90}Th\ + \ energy[/tex]

Thus, in the balanced nuclear reaction of uranium 235, we have thorium 231, helium atom and energy released at the right of the equation while uranium 235 is on the left hand side of the nuclear reaction equation.

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Explanation:

Advantages

It is a good conductor of heat and hence, can measure even high temperatures.

It gives results quickly – has a fast response time.

It expands linearly and less than alcohol and any other liquid.

It is more durable than alcohol thermometer because mercury does not evaporate easily.

The weather forecast for the locations includes:

London - 21°C°, Precipitation: 60%, Humidity: 79%, Wind: 11 km/h.

New York - 26°C°, Precipitation: 50%, Humidity: 76%, Wind: 19 km/h.

It should be noted that weather is the state of the atmosphere with respect to heat or cold, calm or storm, clearness or cloudiness.

Weather forecast is an analysis of the state of the weather in an area with an assessment of the likely developments.

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The initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.

The initial speed of the second ball is calculated as follows;

v = √2gh

v = √(2 x 9.8 x 45)

v = 29.7 m/s

t = √(2h/g)

t = √(2 x 5/9.8)

t = 1.01 s

vf = vi + gt

29.7 = vi + 9.8(1.01)

29.7 = vi + 9.9

vi = 19.8 m/s

Thus, the initial speed of the second ball if they are both reach the ground at the same time is 19.8 m/s.

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The acceleration of the car will be 2m/s².Option A is correct. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The rate of change of velocity with respect to time is known as acceleration.

Given data;

Initial velocity,u=10m/s

Final velocity,v=40m/s

Time elapsed,t=15 seconds

To find ;

Acceleration, a

The acceleration when the change in the velocity is observed by the formula as:

[tex]\rm a= \frac{v-u}{t}[/tex]

Substitute the given values:

[tex]\rm a= \frac{40-10}{15} \\\\ a=\frac{30}{15} \\\\ a=2 \ m/s^2[/tex]

The car's acceleration will be 2 m/s².

Hence, option A is correct.

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many answers to this question so chose whatever you link:

- urbanisation -> more people, humanity keeps on living, more job opportunities etc

- source of income for farmers

- source for food (farming)

- source for trees (eg, to create wood (houses), or to use logs for fire)

Explanation:

The comparison of an unknown physical quantity with the known standard quantity is called measurement....

Here are some tho.....

Answer:

Examples of Gravitational Potential Energy

A raised weight.

Water that is behind a dam.

A car that is parked at the top of a hill.

A yoyo before it is released.

River water at the top of a waterfall.

A book on a table before it falls.

A child at the top of a slide.

Ripe fruit before it falls.

Explanation:

Any object in motion is using kinetic energy: a person walking, a thrown baseball, a crumb falling from a table, and a charged particle in an electric field are all examples of kinetic energy at work.

Answer:

some people failed to realize that the earth is round ligit

Explanation: they failed to do that because of how our eyes see the earth so they was like okay it is flat caused the never saw a person that showed it on the internet

Answer:

X-rays are commonly produced in X-ray tubes by accelerating electrons through a potential difference (a voltage drop) and directing them onto a target material 

Answer:

B

Explanation:

Resistors in series add because there is only one path the current can take.

calculations

= R1 + R2

= 50 + 50

= 100

The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C

Reading in kelvin scale = 252.5 K

The relationship between Fahrenheit and celsius can be expressed as

F = (9/5)(C) + 32 ---- ( 1 )

Therefore the temperature at which Fahrenheit scale quarters the celsius scale is :

F = 1/4 C --- ( 2 )

Back to equation ( 1 )

1/4 C = (9/5)(C) + 32

1/4C - 9/5C = 32

C ( 1/4 - 9/5 ) = 32

C = 32 / ( 1/4 - 9/5  )

   = -20.64⁰C

F = 1/4 ( -20.64 ) = -5.16 ⁰F

Hence we can conclude that The temperature at which the Fahrenheit scale reads quartered the celsius scale is : -5.16 ⁰F, -20.64⁰C. Reading in kelvin scale = 252.5 K

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The tension in the string is same in both cases because of the similar mass or weight of the bodies.

Both pulleys have the same mass and same diameter, but one is solid and the other is a hoop, then there is same tension occurs in both cases because tension depends on mass which is similar on both side. We know that tension is the opposite force of the weight.

So we can conclude that the tension in the string is same in both cases because of the similar mass or weight of the bodies.

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The force (expressed in N), the egg experience upon hitting the ground is 3.5N.

When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.

Given is an 0.07 kg egg and toss if from a window 30 m above the ground. The egg reaches and maintains a falling speed of 0.5 m/sec. Upon reaching the ground, the egg rapidly decelerates to 0 m/sec over the course of only 0.01 seconds.

F = m x (Vf -Vi)/t

F = 0.07 x (0 - 0.5)/0.01

F = -3.5N

Thus, the magnitude of force on egg upon hitting the ground is 3.5N.

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The main issue that is being discussed in the manuscript is the development of science.

Capitalism impacts on science because extremely narrow and specialized bodies of knowledge creating problems for scientists to bring revolution. The dominant ideas in the society can also limit the development of science.

So we can conclude that the main issue that is being discussed in the manuscript is the development of science.

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If only balanced forces act on an object it will keep moving in the same speed and direction.

This is defined as the type of quantity which has both magnitude and direction.

\Having balanced forces will bring about equilibrium which is  why the obect will move in the same speed and direction.

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The coefficient of friction between the road and the car's tire is determined as 0.78.

The acceleration of the car is calculated as follows;

v² = u² - 2as

0 = u² - 2as

a = u²/2s

where;

a = (26.94)²/(2 x 47)

a = 7.72 m/s²

μ = a/g

μ = (7.72)/9.8

μ = 0.78

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Answer:

1.9

Explanation:

Efficiency=mechanical advantage/velocity ratio×100

95=M.A/2×100

95=50M.A

M.A=95/50=1.9

The mechanical advantage of the inclined plane is approximately 2.1053, and the effort required to raise the load of 400 newtons is approximately 189.78 newtons.

To determine the mechanical advantage and effort required for the inclined plane, we can use the formula:

Mechanical Advantage (MA) = Velocity Ratio (VR) / Efficiency

Effort Required = Load / Mechanical Advantage

Given:

Velocity Ratio (VR) = 2

Efficiency = 95% = 0.95

Load = 400 newtons

Calculate the Mechanical Advantage (MA):

MA = VR / Efficiency

MA = 2 / 0.95

MA ≈ 2.1053

Calculate the Effort Required:

Effort Required = Load / MA

Effort Required = 400 / 2.1053

Effort Required ≈ 189.78 newtons

So, the mechanical advantage of the inclined plane is approximately 2.1053, and the effort required to raise the load of 400 newtons is approximately 189.78 newtons.

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Answer:

2

Explanation:edu

The angular acceleration of a bike with tires of radius 0.330 m speeds up from rest to 5.33 m/s in 6.27 s will be 2. 57 rad/s²

Angular acceleration can be defined as the time it takes for a change in angular velocity. It is denoted as 'α' with a unit of rads/s²

It is expressed thus;

α= Δω ÷ Δt

Where α = angular acceleration

Δw = change in angular velocity = velocity ÷ radius

Δ t = change in time

Using the formula:

α= Δω ÷ Δt

v = 5. 33m/s, r = 0. 33m and t = 6.27s

Substitute the values to get the angular velocity

Δw = v÷ r = 5. 33 ÷ 0.330 = 16. 15 m/s

Substitute the value of Δw into the equation

α= Δω ÷ Δt = 16. 15 ÷ 6. 27 = 2. 57 rad/s²

Therefore, the angular acceleration of a bike with tires radius of 0. 330m, speed of 5. 33mls in 6. 27s is 2. 57 rad/s²

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The heat transferred by conduction per hour if temperature difference between the inner body and the skin is ∆ = 2°C is 18 Joule/ hr.

Heat conduction is the method of transfer of heat by the direct contact of the two or more solid bodies.

Given is the thickness of tissue x = 3cm =-0.03m, Area of conduction A = 1.5 m², Change in temperature of skin ΔT =2°C, and coefficient of thermal for tissue without blood is k = 18 × 10⁻² Cal /m-hr- °C

The conduction heat rate in hr is

Q =kAΔT /x

Q =18 × 10⁻² x 1.5 x 2 /0.03

Q =18 Joule / hr

Thus, the heat transferred by conduction per hour, if temperature difference between the inner body and the skin is ∆ = 2°C is 18 Joule/ hr.

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