Please HELP
6. A 3.4-kg bucket of water is attached to a 1.0-m rope. The bucket is swung in a circle at a speed
of 10.0-m/s.


a.
If the rope can only tolerate 400-N of force, what is the maximum speed the bucket can
experience before the rope snaps? {Hint: Let the centripetal force be 400-N and solve for the speed)

Answer:

The light year is used to measure distances in space because the distances are so big that a large unit of distance is required.

We are given –

Sun, r= 1.5×10¹¹ m

We are asked to find the gravitational attraction between the sun and the earth.

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\sf F = \dfrac{GMm}{r²}}[/tex]

Substituting values, we get –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}\times 5.98×10^{24}\times 1.99×10^{30}}{(1.5×10^{11})^2}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}×5.98×10^{24}×1.99×10^{30}}{2.25×10^{22}}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = 35.27×10^{21}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf F = 3.53×10^{22} N}[/tex]

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The specific heat capacity of tungsten given the data from the question is 0.17 J/gºC

Mass of tungsten (M) = 100 g

Temperature of tungsten (T) = 100 °C

Mass of water (Mᵥᵥ) = 200 g

Temperature warm water (Tᵥᵥ) = 20 °C

Specific heat capacity of the water (Cᵥᵥ) = 4.184 J/gºC

Equilibrium temperature (Tₑ) = 21.6 °C

Specific heat capacity of tungsten (C) = ?

Heat loss = Heat gain

MC(T – Tₑ) = MᵥᵥCᵥᵥ(Tₑ – Tᵥᵥ)

100 × C × (100 – 21.6) = 200 × 4.184(21.6 – 20)

100 × C × 78.4 = 1338.88

Divide both sides by 100 × 78.4

C = 1338.88 / (100 × 78.4 )

C = 0.17 J/gºC

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Explanation:

As you can see in the picture, we want the swimmer to go on a straight line, so the speed of the water must be equal to the speed of the swimmer along the x-axis. We also know the value of v, so we can calculate the of the cosine of the angle (alpha) between Vx and V. Thanks to the fundamental relation of gioniometry (cos^2(x) + sin^2(x) = 1) we can find the sine of alpha and calculate Vy. With Vy we can calculate the time that the swimmer will use for reaching the dock: s = Vy * t => t = s/(Vy).

I'll let you do all the calculations, you just have to plug in values.

a)The direction that she must aim herself through the water to arrive at the dock will be 73.7°.

b)The time it takes for the swimmer to cross the river will be 240 seconds.

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.

Given data;

The maximum speed of the swimmer In still water,v=1.25m/s.

Speed of river = 0.35m/s [E]

α is the direction that she must aim herself through the water to arrive at the dock.

t is the time it takes for the swimmer to cross the river

The distance from the starting point to the dock is,s = 300 m

If the swimmer were to swim straight, the water's speed along the x-axis would have to match that of the swimmer.

[tex]\rm v_w = v_x = 0.35 \ m/sec[/tex]

α is the angle between vx and v

The value of the

[tex]\rm cos \alpha = \frac{v_x}{v} \\\\ \alpha = cos ^{-1}(\frac{0.35}{1.25} )\\\\ \alpha = 73.7 ^0[/tex]

The time that the swimmer will use for reaching the dock;

s = V×t

t = s/(v)

t=300 m / 1.25 m/sec

t = 240 seconds

Hence, the direction that she must aim herself through the water to arrive at the dock. and it takes for the swimmer to cross the river will be 73.7° and 240 seconds respectively.

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The pendulum bob slow down and eventually stop as it loses it energy due to friction or air resistance. All its kinetic energy has been transformed to potential energy. None of the options is correct

The to and fro movement of an object or particle is known as oscillatory motion. Such motion repeats itself. Examples are;

The given diagram shows a swinging pendulum. And the option which best explains what happens to the motion of the pendulum due to the law of conservation of energy is

The pendulum will slow down and eventually stop moving when it loses energy because of friction or air resistance as the kinetic energy transforms to potential energy

The mechanical energy involve are potential and kinetic energy. Both energies reduce as they gradually lost some of their energies due to air friction between the bob and the air. Some of the lost energies may be transformed to thermal energy.

The pendulum bob slow down and eventually stop because it loses its mechanical energy due to air resistance or friction.

Therefore, the option A which state that "The pendulum will slow down and eventually stop moving as the mechanical energy transforms to thermal energy" can be considered. But none of the option best explain what happens to the motion of the pendulum.

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Answer:

69 meters

Explanation:

Developing Psychological Theories: Mastery Test

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Hope this helps :)

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Answer:

Hello There!

It is Speed.

[tex]\Large\bold\red{Reason}[/tex]

Because in the question it is said that at which speed car is travelling.

Speed is a scalar quantity.

If it is velocity then first know this that it is a vector quantity.

It must include both magnitude and direction.

If it is velocity then it would be 40 mph east or west or north or south.

Answer:

gravity

Explanation:

keeps the ball down on the surface

When dribbling a ball, the gravity should control the direction and downward motion of the ball.

When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's centre (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.

Two distinct rectilinear motions occur simultaneously in a projectile motion:

When a ball is sent into the air at a certain speed, the only force acting on it is the acceleration caused by gravity (g).

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Answer:

Below in bold.

Explanation:

Newton's Second Law:

Force = mass * acceleration

So

Force = 24.5 * 2.3

= 56.35 Newtons.

Answer:

the answer is the rollar coster

Explanation:

because the rollar coster is

The answer is in the picture.

Answer: 300N

Explanation:

Impulse= Mass * Velocity

F.T = M * V

F= MV/T

F= (0.15*20)/ 0.01

F= 300N

Answer: The correct answer is the weight of the wood.

Explanation:

Hope this helps

Answer:

112.36 pounds

Explanation:

Since 1 pound = 4.45 Newtons, a 500N child in pounds = 500÷4.45 = 112.36 pounds (approximately).

Answer: A

Explanation: An object in free fall only is affected by gravity, so the acceleration is 9.8 m/s²

Answer:

Scientific investigation is a quest to find the answer to a question using the scientific method.

Explanation:

the scientific method is a systematic process that involves using measurable observations to formulate, test or modify a hypothesis.

Hi there!

[tex]\large\boxed{10 m/s}}[/tex]

When a projectile is launched, the HORIZONTAL component remains constant.

The force of gravity only changes the vertical component of the velocity.

As the two components are completely independent of one another, the horizontal component is UNCHANGED.

Answer:

18:equilibrium

19:10.8

20:separating the surfaces with a layer of air

21:it remains motionless

22:cm/s

Momentum is conserved, so

(2 kg) (50 m/s) + (4 kg) (-25 m/s) = (2 kg) v₁' + (4 kg) v₂'

where v₁' and v₂' are the velocities of the two blocks after the collision. Simplifying this gives

100 kg•m/s - 100 kg•m/s = (2 kg) v₁' + (4 kg) v₂'

0 = (2 kg) v₁' + (4 kg) v₂'

v₁' = -2v₂'

Energy is also conserved, so

1/2 (2 kg) (50 m/s)² + 1/2 (4 kg) (-25 m/s)² = 1/2 (2 kg) (v₁')² + 1/2 (4 kg) (v₂')²

Simplifying yields

2500 J + 1250 J = (1 kg) (v₁')² + (2 kg) (v₂')²

3750 J = (1 kg) (v₁')² + (2 kg) (v₂')²

Substitute v₁' = -2v₂' and solve for v₂' :

3750 J = (1 kg) (-2v₂')² + (2 kg) (v₂')²

3750 J = (6 kg) (v₂')²

(v₂')² = 625 J/kg = 625 m²/s²

v₂' = 25 m/s

Then the first block has final velocity

v₁' = -2 (25 m/s)

v₁' = -50 m/s

Gravitational force is responsible for how magma flows and rocks stack up on top of one another.

Hence, it is the gravitational force that is responsible for how magma flows and rocks stack up on top of one another.

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The analytical method for the sum of vectors allows to find the result for the sum of the vectors is:

The displacement is a vector quantity, therefore vector algebra must be used to perform the addition of vectors, in general there are two methods:

Indicate in  the graph a Cartesian coordinate system, let alone the West - East axis coincide with the x axis. Let's use trigonometry to decompose the vectors.

Vector A.

         Aₓ = 100.0 m  

Vector B.

         B_y = -300.0 m  

The negative sign indicates that it goes in the negative direction of the y-axis

Vector C.

We use trigonometry.

The angle measured from the positive side of the x-axis counterclockwise is

        θ = 180 + 30 = 210

        sin 210 = [tex]\frac{C_y}{C}[/tex]

        cos 210 = [tex]\frac{C_x}{C}[/tex]

        C_y = C sin 210

        Cₓ = C cos 210

         C_y = 150.0 sin 210 = -75.0 m

         Cₓ = 150.0 cos 210 = -129.9 m

Vector D.

The angle from the positive side of the x-axis counterclockwise.

        θ = 180-60 = 120º

       sin 120 = [tex]\frac{D_y}{D}[/tex]  

       cos 120 = [tex]\frac{D_x}{D}[/tex]  

       D_y = D sin 120

       Dₓ = D cos 120

       D_y = 200.0 sin 120 = 173.2 m

       Dₓ = 200.0 cos 120 = -100.0 m

we add the component with algebraic sum.

       x = Aₓ + Cₓ + Dₓ

       y = B_y + C_y + D_y

       x = 100 - 129.9 -100 = -129.9 m

       y = -300 - 75.0 + 173.2 = -201.8 m

We construct the resulting vector.

We use the Pythagorean theorem for the Modulus.

       [tex]R+ \sqrt{x^2 +y^2}[/tex]  

       R = [tex]\sqrt{129.9^2 + 201.8^2 }[/tex]  

       R = 239.99 m

We use trigonometry for the angle.

      tan  θ = [tex]\frac{y}{x}[/tex]

       θ = [tex]tan^{-1} \frac{y}{x}[/tex]  

       θ = [tex]tan^{-1} \frac{201.8}{129.9}[/tex]tan-1 (201.8 / 129.9)

       θ = 57.2º

Since the two coordinates are negative, this angle is in the third quadrant; to measure it from the positive side of the x-axis.

          θ = 270 - θ'

          θ = 270 - 57.2

          θ = 212.8º

In conclusion using the analytical method for the sum of vectors we can find the result for the sum of the vectors is:

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Answer:

concave lens focal length 2m

Answer:

- 30 kW

Explanation:

IDEA:

Power of an object that does work(source) is given by:

[tex] \boxed{ \mathsf{power = \frac{work \: done}{time} }}[/tex]

where work done is mostly shown as the Force applied on an object to Displace it through some distance in the same direction as the Force.

[tex] \boxed{ \mathsf{ work = force \times displacement}}[/tex]

___________________

INFORMATION:

In the question,

The source of power is the crane, while the object is a load of 36000N.

Note, what's given is the force, not the mass. Since, the SI unit of mass is kg and that of Force is Newton(N).

[The weight of the load is represented in Newton, since weight of an object is the amount of Force with which the Earth attracts that object]

I) work done

So,

=> Work = 36000 × 50

= 1,800,000 J

(The SI unit of work is Joules(J)).

___________________

II) power

After getting the amount of work done, now we have to place it in the formula for power.

That is:

[tex] \boxed{ \mathsf{power = \frac{work \: done}{time} }}[/tex]

Note, During calculations, all quantities must be in their SI units.

SI unit for time is Seconds (s)

But the time we have is in minutes.

___________________

Converting time from minutes to Seconds:

1 minute = 60 Seconds.

Hence,

[tex] \implies \mathsf{power = \frac{1800000}{60} } \: [/tex]

=> power = 30,000 W

(SI unit of power is Watts(W))

To write four zeroes with a 3 and W is a lot of effort. So, we can look for simple expressions like kilowatts(kW) that can express bigger quantities in lesser terms.

1000 W = 1 kW

___________________

Direction and sign:

The crane displaces the load in an upward direction (from the term "lifts")

But, the Force is acting downwards, as the weight of the body is always towards the Earth.

Since, the directions of Force and displacement are opposite, a minus takes its place in front of both Work and power.

___________________

Therefore, the final answer will be: