A 59-kgkg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 18 cmcm . What is the maximum torque she exerts?

Answer:

  7) 5 m/s

  8) 1.5 m/s

  9) -9 m/s^2

  10) 2.2 m/s

  11) 5 s

Explanation:

These problems make use of the relations:

  a = ∆v/∆t

  d = 1/2at^2 . . . . acceleration to/from rest

  v^2 = 2ad . . . . . acceleration to/from rest

In each case, choose the formula appropriate to the question, fill in the given values, and solve for what's missing.

__

7) v^2 = 2ad

  v = √(2(9.8 m/s^2)(1.5 m)) = √(29.4 m^2/s^2) ≈ 5 m/s

__

8) d = 1/2at^2

  a = 2d/t^2 = 2(75 m)/(10 s)^2 = 1.5 m/s^2

__

9) a = ∆v/∆t

  a = (-45 m/s)/(5 s) = -9 m/s^2

__

10) a = ∆v/∆t

  ∆v = a·∆t = (0.09 m/s^2)(10 s) = 0.9 m/s

Vivian's final speed is the initial speed plus the change in speed:

  1.3 m/s + 0.9 m/s = 2.2 m/s

__

11) a = ∆v/∆t

  ∆t = ∆v/a = (0.50 cm/s -0.75 cm/s)/(-0.05 cm/s^2) = -.25/-.05 s = 5 s

Answer:

volume liquid

Explanation:

Answer:

The half-life of carbon is too short.

Explanation:

The answer is B.

The energy conversion is; Chemical → Mechanical → Thermal

A gasoline engine converts the chemical energy stored in the fuel (gasoline) into mechanical energy that can be used to power a vehicle or other machinery.

Overall, the energy conversion in a gasoline engine is not perfectly efficient, as some of the energy is lost to heat and other forms of waste. However, modern gasoline engines are designed to optimize the combustion process and minimize energy losses, in order to achieve higher fuel efficiency and lower emissions.

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Answer:

A. 200 Hz

B. Speaker B.

Explanation:

We'll begin by defining the frequency.

The frequency of a wave is defined as the number of vibrations made in 1 second. Mathematically it can be represented as:

Frequency (f) = number of vibration (n) / time (t)

f = n / t

A. Determination of the frequency produced by loud speaker A.

Number of vibrations (n) = 200

Time (t) = 1 s

Frequency (f) =?

f = n / t

f = 200 / 1

f = 200 Hz

B. Determination of the loudspeaker that produces the highest frequency of vibrations.

We shall determine the frequency produced by each speaker. This is illustrated below:

For speaker A:

Number of vibrations (n) = 200

Time (t) = 1 s

Frequency (f) =?

f = n / t

f = 200 / 1

f = 200 Hz

For speaker B:

Number of vibrations (n) = 400

Time (t) = 1 s

Frequency (f) =?

f = n / t

f = 400 / 1

f = 400 Hz

SUMMARY:

Speaker >>>> Frequency

A >>>>>>>>>> 200 Hz

B >>>>>>>>>> 400 Hz

From the above illustration, speaker B produces the highest frequency of vibration.

Answer:

ANSWER is (B)

Explanation:

jxkalxna,x The correct option is : The water will vibrate with less intensity

The final momentum is 25 Kg m/s

In physics, momentum is a measure of an object's motion, calculated by multiplying the object's mass by its velocity. Mathematically, momentum is represented by the symbol "p" and can be expressed as:

p = mv

where "p" is momentum, "m" is mass, and "v" is velocity. Momentum is a vector quantity, meaning that it has both a magnitude (the amount of momentum) and a direction (the direction of the motion).

Given that;

Ft = mv - mu

It then follows that;

F = force

m = mass

v and u are the initial and the final velocities

Thus;

5 * 5 = 5v

v = 25/5

= 5 m/s

The final momentum is thus;

5 m/s * 5 Kg

= 25 Kg m/s

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The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:

Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)

ω ≈ 115.28 rad/s

The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².

Use the formula for rotational kinetic energy:

Rotational Kinetic Energy (KE_rot) = (1/2) I ω²

Substituting the given values:

KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²

Calculate the value inside the parentheses:

KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)

KE_rot ≈ 1.331 × 10^-3 J

Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.

KE_rot ≈ 4.8 × 10^-4 J

Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.

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Diameter = 4200 m

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700 \(\pi\) / (4200 \(\pi\)) = 8.2 laps

A will create 8 but not 9 rounds before catching B.

Speed exists distance travelled per unit time. It exists scalar quantity.

Given: diameter = 4200 m

\(V_a\) = 5000 m / 3600 s = 1.39 m/s

(\(V_a - V_b\)) 60 = 10

\(V_b = V_a\) - 0.167 = 1.22 m/s

(\(V_a - V_b\)) T = 4200 \(\pi\)

where T exists time for A to complete 1 more lap

0.17 T = 4200 \(\pi\)

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700

\(V_a\) = 5000 m / 3600 s = 1.39 m/s

(\(V_a - V_b\)) 60 = 10

\(V_b = V_a\) - 0.167 = 1.22 m/s

(\(V_a - V_b\)) T = 4200 \(\pi\)  

where T exists time for A to complete 1 more lap

0.17 T = 4200 \(\pi\)

T = 24700 \(\pi\) time for A to also catch B

N = 1.39 \(*\) 24700 \(\pi\) / (4200 \(\pi\)) = 8.2 laps

A will create 8 but not 9 rounds before catching B.

Therefore, the correct answer is option (ii) 8.

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Answer:

I believe it is A but I'm not sure

I dont really know but i think the first one is true super sorry

Electromagnets are an example of how electricity can create magnetism is True statement.

Permanent magnets are not the same as electromagnets. Coils of wire with electricity running through them make up electromagnets. An electromagnet's wire coils act like magnets when an electric current flows through them because moving charges produce magnetic fields.

The coils stop functioning as a magnet when the electricity is turned off. When magnetic forces are only required for brief periods of time, electromagnets are frequently used in electrical equipment.

They both make use of electromagnets, which use electricity to apply a magnetic field. Extremely strong electromagnets are used by wrecking yards to transfer heavy scrap metal or even entire cars from one location to another.

Therefore, Electromagnets are an example of how electricity can create magnetism is True statement.

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Given data:

* The mass of the object is m = 900 kg.

* The initial velocity of the object is u = 25 m/s.

* The final velocity of the object is v = 0 m/s.

* The time taken by the object is t = 5 seconds.

Solution:

The force required to stop the object is,

Substituting the known values,

Here, the negative sign indicates the force is applied in the opposite direction to the direction of motion of an object.

Thus, the force applied to the object is - 4.5 kN.

A fox getting its energy from a mouse and a mouse getting its energy from the grass  shows evidence of the carbon cycle

The carbon cycle is a necessary component within the global interchange between living species and the environment.

Through photosynthesis, plants absorb carbon dioxide from the atmosphere and convert it into vitalizing organic matter for consumption by animals; these organisms expend the energy obtained and consequently expel carbon dioxide back up into the air via respiration.

Moreover, when animals meet their demise and decompose, the carbon in their bodies is redeposited into Earth's soil only to eventually be delivered once again to the atmosphere through erosive activities or those generated from volcanoes.

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(a) With g = 9.80 m/s² as the magnitude of the acceleration due to gravity, the arrow will the ground at time t for

0 = 3.0 m - 1/2 g t²

Solve for t :

t² = (6.0 m) / g

t ≈ 0.78 s

(b) The arrow travels a horizontal distance x at time t according to

x = (40 m/s) t

so that when it hits the ground, it does so

x = (40 m/s) (0.78 s) ≈ 31 m

away from where it was shot.

Since he runs a company in the US He exchanges goods and services with parties, Jack is engaged in international trade.

International trade is the exchange of goods and services between countries. It is a major driver of economic growth and prosperity. Jack's company can benefit from international trade in a number of ways. First, it can access new markets and customers. Second, it can source lower-cost inputs from other countries. Third, it can diversify its risk by selling to customers in multiple countries.

However, Jack's company also faces some challenges when engaging in international trade. First, it must deal with different languages, cultures, and legal systems. Second, it must comply with import and export regulations. Third, it must manage the risk of currency fluctuations.

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Answer:

25 m

Explanation:

Let's assume that its acceleration is constant. We can determine the acceleration of the object by its definition

\(a= \frac{\Delta v}{\Delta t} = \frac{10-0(\frac ms)}{5 s} = 2 \frac m{s^2}\)

Now we can write the equation of motion

\(s(t)= s_0 + v_0t + \frac12at^2\)

where, the two terms \(s_0\ v_0\) represent the initial position and velocity respectively. Replacing the values we have ("from rest" means that initial velocity is 0)

\(s(5) = 0+0(5)+\frac12 2 (5)^2 = 25 m\)

The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.

The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.

The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.

The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.

The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).

The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).

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Yes, the object is made of gold if  the yellow object has a mass of 57.9 g and its volume is 3 \(cm^{3}\).

Mass of object = 57.9 g

Volume of object = 3  \(cm^{3}\)

Also, given density of gold: 19.3 g/\(cm^{3}\)

We know that, Density = Mass/Volume

= 57.9/3

=19.3 g/\(cm^{3}\)

So we calculated the density from the given data in question.

As the density of gold and the given yellow object is same we can conclude that the object is made of Gold.

It is yellow too which is a property of gold and the density is same as well.

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The coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C

The amount of volume that a substance expands by per unit of its original volume for each degree that its temperature rises is known as the coefficient of volume expansion.

As we know, The coefficient of volume expansion of the liquid

= change in volume/(original volume × temperature difference)

= (V₂ - V₁)/[V₁ × (T₂ - T₁)]

Change in volume = (V₂ - V₁)

Here, V₂ ( final volume) = 1.31 L

V₁  (initial volume)= 1.55 L

T₂ (final temperature) = 14.7 degrees

T₁ (initial temperature) = 96 degrees

The coefficient of volume expansion of the liquid

= (1.31 - 1.55) / [1.5 × (14.7- 96)]

= 1.97 × 10⁻³ /⁰C

Thus, the coefficient of volume expansion of the liquid = 1.97 × 10⁻³ /⁰C

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Answer:

be in front of the club

Explanation:

The ball should be highest off the ground for a driver. The general recommendation is that the bottom of the golf ball on a tee should be level with the top of the driver; for long and mid-irons, push the tee into the ground so that only about a quarter-inch is above ground.

Answer:

that's fusion

Explanation:

Answer:

the answer is fusion for this

Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Answer:

Fe = m ge = G Me m / Re^2     force exerted on m by earth

ge = G Me / Re^2

gm = G Mm / Rm^2       same for measuring g on moon

ge / gm = (Me / Mm) * (Rm / Re)^2     ratio of g

ge / gm = 81 * (1 / 3.7)^2 = 81 / 13.7 = 5.92   acceleration of earth to moon

Answer:

12J

Explanation:

Given parameters:

Mass  = 1.5kg

Impulse  = 6kgm/s

 let us start first by find the velocity with which this body moves;

       Impulse  = mass x velocity

         Velocity  = Impulse /  mass  = 6/ 1.5  = 4m/s

Initial velocity  = 0m/s

Unknown:

Resulting kinetic energy  = ?

Solution:

To solve this problem use the formula below:

      K.E  = \(\frac{1}{2}\)  m (v  - u)²  

m is the mass

v is the final velocity

u is the initial velocity

  So;

        K.E  =  \(\frac{1}{2}\)  x 1.5 x (4 - 0)²  

  K.E  = 1.5 x 8  = 12J

Answer:

since -6 lasted for 5 seconds, multiplying both would result in -30

3 lasted for 10 seconds, so multiplying both would give +30

average = ( 30 + (-30) ) / 2

30 -30 is already equal to zero, so the answer should be 0

Answer:

the first one, The object moving through air

The capacitance of the capacitor is 1.7 * 10^-4 F. The capacitance will increase when the voltage is increased.

If we hold the capacitance constant, a higher voltage applied to the capacitor will result in a greater amount of electrical charge stored on the capacitor. Conversely, if we hold the voltage constant, a capacitor with a higher capacitance will be able to store more electrical charge. In other words, the capacitance and the voltage are directly proportional to the amount of electrical charge that can be stored on a capacitor.

We know that;

q = CV

C = q/V

C =  0.0024 C/12 V

C = 1.7 * 10^-4 F

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Answer:

6 km is the right answer

hope it helps you

Explanation:

please mark me as brainliest

Answer:

the correct options are A and B.

Explanation:

The two main benefits which the scientists have using a diagram to model the water cycle are it can show changes that occur in many different parts of the Earth at the same time and it can also be used to show how the parts of the cycle relate to one another