A 75-kg sprinter accelerates from rest to a speed of 11.0 m/s in 5.0 s. (a) calculate the mechanical work done by the sprinter during this time. (b) calculate the average power the sprinter must generate. (c) if the sprinter converts food energy to mechanical energy with an efficiency of 25%, at what average rate is he burning calories? (d) what happens to the other 75% of the food energy being used?

The particle's location vector at time t is given by: r(t) = t³ + t² + 1

As per the question, we have the velocity of the particle in polar coordinates, but we need to find the position of the particle at time t. To do this, we need to integrate the velocity vector to obtain the position vector.

Let's consider the given velocity vector:

v(t) = (3t² + 2t)i + (2t² + 3t)j

To integrate this velocity vector, we need to find the corresponding position vector. Since the velocity vector is given in polar coordinates, we can express it in terms of polar variables:

v(t) = r'(t) + r(t)θ'(t)

where r'(t) and θ'(t) are the radial and angular components of the velocity vector, respectively.

By comparing the given velocity vector with the above equation, we can write:

r'(t) = 3t² + 2t

θ'(t) = (2t²+ 3t)/r(t)

Integrating r'(t) with respect to t, we get:

r(t) = t³ + t² + C

where C is the constant of integration.

To determine the value of C, we need to use the initial condition given in the problem. The particle starts at the position r = 1 and θ = π/4 at time t = 0. This implies:

r(0) = 1

θ(0) = π/4

Substituting these values in the equation for r(t), we get:

1 = 0 + 0 + C

C = 1

Therefore, the position vector of the particle at time t is given by:

r(t) = t³ + t² + 1

To find the value of θ at time t, we integrate θ'(t) with respect to t:

θ(t) = ∫(2t² + 3t)/r(t) dt

= ∫(2t² + 3t)/(t³ + t² + 1) dt

This integral is not trivial to solve analytically. Therefore, the position of the particle at time t can be expressed as:

r(t) = (t³ + t² + 1)i + f(t)j

where f(t) is the solution of the above integral for θ(t).

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The acceleration due to gravity of the planet X is 1 m/s².

The given parameters;

The acceleration due to gravity is calculated as follows;

\(h = ut - \frac{1}{2} gt^2\\\\100 = 15(10) - (0.5\times 10^2)g\\\\100 = 150 - 50g\\\\50g = 150-100\\\\50g = 50\\\\g = 1 \ m/s^2\)

Thus, the acceleration due to gravity of the planet X is 1 m/s²

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Answer:

However, it is important to remember that acceleration is change in velocity. So, even if an object is moving at a constant speed, if it changes direction, the object is accelerating. Most people think of acceleration as an increase in speed. However, slowing down is also considered acceleration.

Explanation:

Answer:

B f

Explanation: hop it helps

Answer:

a. 165.5 V

b. 7.78 A

Explanation:

Here is the complete question

The RMS potential difference of an AC household outlet is 117 V. a) What is the maximum potential difference across a lamp connected to the outlet? b) If the RMS current through the lamp is 5.5 A, what is the maximun current through the lamp.

Solution

a. The maximum potential difference across the lamp V₀ = √2V₁ where V₁ = rms value of potential difference = 117 V

V₀ = √2V₁ = √2 × 117 V = 165.5 V

b. The maximum current through the lamp I₀ = √2I₁ where I₁ = rms value of current = 5.5 A

V₀ = √2V₁ = √2 × 5.5 A = 7.78 A

During vegetative propagation, a new plant grows from parts of the parent plant.

During binary fission, a cell divides to produce a new genetically identical cell.

Asexual reproduction involves fission, budding, fragmentation, and parthenogenesis, whereas sexual reproduction is achieved by combining the germ cells of two individuals. The statement describing asexual reproduction is Offspring are born that have the same DNA as the parent.

Only one parent is needed to produce a child. Includes cell division similar to cell division in mitosis. Asexual reproduction is a form of reproduction in which the offspring produced are exactly like their parents. Also, there is no formation of two different gametes, nor the involvement of two different sexes. In unicellular organisms, mitosis is the mode of asexual reproduction.

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Answer:

quintal and metric tone.

Explanation:

1 quintal= 100kg

1 metric =1000kg

quintal measures mass of cars, trucks etc, but metric measures bigger things like cargo ships

hope it helps

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:

Answer:

2m

Explanation:

The superposition of waves with opposite amplitudes causes any rhythmic disturbance that carries energy through matter or space is an interference.

Interference is a process in which two or more waves combine to produce a resultant wave of greater, lower, or the same amplitude than the original waves, based on the relative phases of the waves. Constructive and destructive interference are the two types of interference.

Constructive Interference: When two waves collide, they combine and their amplitudes add up to form a larger wave, resulting in constructive interference. The amplitude of the combined wave is equal to the sum of the amplitudes of the individual waves. The waves will be in phase if they have the same frequency, wavelength, and amplitude.

Destructive Interference: When two waves meet and combine, their amplitudes subtract from each other, resulting in destructive interference. When the amplitude of the combined wave is less than that of the original waves, this happens. The waves will be out of phase if they have the same frequency, wavelength, and amplitude.

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The elevator motor has:

In physics we can say that work is the force applied to a body or object in order to move it from one point to another. In the international system of units, work is expressed as Joules.

To solve this problem, the formulas and procedures we will use are:

Where:

Problem data:

Applying the Force formula we get:

F=  1000 kg * 9.8 m/s2

F= 98000 N

Applying the work formula we get:

W = 98000 N * 100 m

W = 980000 J

Applying the power formula we get:

P= 980000 J/ 50 s

P= 19600 W

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When a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor is increasing.

This can be explained by considering the relationship between the electric field, the charge on the plates, and the area of the plates.The electric field in a capacitor is given by the formula E = Q / (ε₀A), where E represents the electric field, Q is the charge on the plates, ε₀ is the permittivity of free space, and A is the area of the plates. When the capacitor is disconnected from the battery, the charge on the plates remains constant. However, as the area of the plates decreases, the denominator in the formula for the electric field (ε₀A) decreases. Since the charge remains the same, this reduction in the denominator results in an increase in the electric field E.

In simpler terms, the electric field in a capacitor is inversely proportional to the area of the plates. As the area decreases, the electric field strengthens. This occurs because the same amount of charge is now concentrated on a smaller surface area, leading to a higher electric field intensity between the plates. Therefore, when a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor increases due to the concentration of charge on a smaller surface area.

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False. The Hubble constant derived by the cosmic distance ladder method is not necessarily smaller than the one derived by the cosmic microwave background (CMB) method.

The Hubble constant is a measure of the rate at which the universe is expanding. There are multiple methods to estimate the Hubble constant, including the cosmic distance ladder method and the CMB method.

The cosmic distance ladder method relies on using a series of distance measurements and astronomical observations to estimate the Hubble constant. It involves measuring distances to nearby galaxies and using their redshifts to determine their velocities and the rate of expansion.

On the other hand, the CMB method uses observations of the cosmic microwave background radiation, which is the residual radiation from the early universe, to estimate the Hubble constant. It involves studying the fluctuations in the CMB and relating them to the expansion rate of the universe.

Both methods have their own sources of uncertainties and potential systematic errors, leading to variations in the estimated values of the Hubble constant.

However, it is incorrect to make a general statement that the Hubble constant derived by the cosmic distance ladder method is always smaller than the one derived by the CMB method. The actual comparison between the two methods depends on the specific measurements and analyses conducted in each case.

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laws of reflection

I = r

angle of incident = angle of reflection

35 = 35

International space station is the mission of NASA. It has launched 134 successful space missions.

International space station is a huge place in the space but in the close orbit with all possible facilities for astronauts , scientists and others

The National Aeronautics and Space Administration (NASA) is an acronym for the National Aeronautics as well as Space Administration. NASA was established as a division of the United States government on October 1, 1958. NASA is just in charge of all research and technology related to aviation and space in the United States.

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Answer

Remember that the net force on you determines how your motion changes.  The strength of the gravitational force between two objects depends on two factors, mass and distance. The Mass of the Objects The more mass two objects have, the greater. the force of gravity the masses exert on each other.

Explanation:

try to look it up on google

I know. I know everything

Answer:

coins made with the combination of copper zinc and Nickel

A cloth is made of fabrics

A towel is made from cotton

an umbrella is made up of fiberglass

a sweater is made up of wool

hope it helps

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The runner's velocity after 3.00 s is 2.20 m/s.

Given that the runner decelerates from an initial velocity of 8.50 m/s at a rate of 2.10 m/s², we can use the equation of motion to determine her final velocity. The equation for velocity with constant acceleration is:

v = u + at

Where:

v is the final velocity,

u is the initial velocity,

a is the acceleration, and

t is the time.

Plugging in the given values:

u = 8.50 m/s (initial velocity)

a = -2.10 m/s² (deceleration, negative since it opposes motion)

t = 3.00 s (time)

Substituting the values into the equation, we have:

v = 8.50 m/s + (-2.10 m/s²) * 3.00 s

v = 8.50 m/s - 6.30 m/s

v = 2.20 m/s

Therefore, the runner's velocity after 3.00 s is 2.20 m/s, considering her deceleration rate of 2.10 m/s².

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Given:

Radius = 115.2 m

Velocity = 22.9 m/s

Mass = 1302 kg

Let's find the force required to keep the car.

To find the force, apply the formula:

Where:

m is the mass = 1302 kg

v is the velocity = 22.9 m/s

r is the radius = 115.2 m

Thus, we have:

Therefore, the force is 5926.9 N.

ANSWER:

5926.9 N

The most likely mean for aurora. She drinks one or two drinks every night. Option C is correct.

Binge-drinking is explained as having five or more drinks in one sitting for males, and four or more drinks in one sitting for women.

The majority of people who binge-drink do not have a serious alcohol problem. Binge-drinking, on the other hand, is a dangerous risk behavior linked to significant injuries and a variety of disorders.

Hence, option C is correct.

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Let's calculate the values based on the given information:

The area of the wooden block can be calculated by multiplying the length and width of one of its faces:

Area = Length * Width

Area = 40 cm * 20 cm

Area = 800 cm²

To convert to square inches, we can use the conversion factor 1 inch = 2.54 cm:

Area in square inches = Area in square centimeters / (2.54 cm/inch)²

Area in square inches = 800 cm² / (2.54 cm/inch)²

Area in square inches ≈ 124.03 in²

The volume of the wooden block can be calculated by multiplying its length, width, and height:

Volume = Length * Width * Height

Volume = 40 cm * 20 cm * 10 cm

Volume = 8000 cm³

To convert to cubic inches, we can use the conversion factor 1 inch = 2.54 cm:

Volume in cubic inches = Volume in cubic centimeters / (2.54 cm/inch)³

Volume in cubic inches = 8000 cm³ / (2.54 cm/inch)³

Volume in cubic inches ≈ 488.19 in³

The density of the wooden block can be calculated by dividing its mass by its volume:

Density = Mass / Volume

Density = 5 kg / 8000 cm³

To convert to grams per cubic centimeter (g/cm³), we can use the conversion factor 1 kg = 1000 g:

Density in g/cm³ = Density in kg/cm³ * 1000 g/kg

Density in g/cm³ = (5 kg / 8000 cm³) * 1000 g/kg

Density in g/cm³ ≈ 0.625 g/cm³

To convert to pounds per cubic inch (lb/in³), we can use the conversion factor 1 kg = 2.20462 lb and 1 inch = 2.54 cm:

Density in lb/in³ = Density in kg/cm³ * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ = (5 kg / 8000 cm³) * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ ≈ 0.036 lb/in³

Pressure is defined as force divided by area. In this case, we need more information to calculate the pressure. If the block is subjected to a specific force, we can divide that force by the appropriate surface area to find the pressure.

The pressure on the top surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

Similarly, the pressure on the bottom surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

The force on the top surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

The force on the bottom surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

Without the values for forces on the top and bottom surfaces, we cannot determine the difference between them.

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1. The area of the wooden block can be calculated using the formula for the surface area of a rectangular prism: SA = 2(lw + lh + wh), where l, w, and h are the length, width, and height of the block, respectively. Using the given dimensions, we can find the surface area in cm²:

SA = 2(40 × 20 + 40 × 10 + 20 × 10)

SA = 2(800 + 400 + 200)

SA = 2(1400)

SA = 2800 cm²

To convert cm² to in², we can use the conversion factor 1 in² = 6.45 cm². So, the area in in² is:

2800 ÷ 6.45 = 434.96 in² (rounded to two decimal places)

2. The volume of the wooden block can be calculated using the formula for the volume of a rectangular prism: V = lwh. Using the given dimensions, we can find the volume in cm³:

V = 40 × 20 × 10

V = 8000 cm³

To convert cm³ to in³, we can use the conversion factor 1 in³ = 16.39 cm³. So, the volume in in³ is:

8000 ÷ 16.39 = 487.61 in³ (rounded to two decimal places)

3. The density of the wooden block can be calculated using the formula: density = mass/volume. The mass of the block is given as 5 kg. To convert this to grams, we can use the conversion factor 1 kg = 1000 g. So, the mass in grams is:

5 kg × 1000 g/kg = 5000 g

Using the volume calculated in part 2, we can find the density in g/cm³:

density = 5000 g/8000 cm³

density = 0.625 g/cm³

To convert g/cm³ to lb/in³, we can use the conversion factor 1 g/cm³ = 0.0361 lb/in³. So, the density in lb/in³ is:

0.625 g/cm³ × 0.0361 lb/in³/g/cm³ = 0.0226 lb/in³

4. The pressure on the wooden block is given by the formula: pressure = force/area. To find the pressure, we need to know the force acting on the block. Since the block is simply resting on the tabletop, the force acting on it is due to its weight. Using the formula for weight: w = mg, where w is weight, m is mass, and g is the acceleration due to gravity (9.8 m/s²).

To find the weight in newtons (N), we can use the conversion factor 1 kg = 9.8 N. So, the weight of the block is:

5 kg × 9.8 N/kg = 49 N

Using the area of the block's base (40 cm × 20 cm = 800 cm²), we can find the pressure in N/cm²:

pressure = 49 N/800 cm²

pressure = 0.06125 N/cm²

To convert N/cm² to psi, we can use the conversion factor 1 psi = 6894.76 N/m². So, the pressure in psi is:

0.06125 N/cm² × (1 m²/10,000 cm²) × (1 psi/6894.76 N/m²) = 0.0089 psi (rounded to four decimal places)

5. The pressure on the top surface of the wooden block is the same as the pressure calculated in part 4: 0.06125 N/cm² or 0.0089 psi.

6. To find the pressure on the bottom surface of the block, we can use the formula: pressure = force/area. Since the bottom surface has the same area as the top surface, the pressure will also be the same: 0.06125 N/cm² or 0.0089 psi.

7. The force acting on the top surface of the wooden block is simply its weight, which we calculated to be 49 N in part 4.

8. The force acting on the bottom surface of the wooden block is also its weight, which we calculated to be 49 N in part 4.

9. The force on the bottom surface is equal in magnitude to the force on the top surface.

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The property of a transverse wave that stays the same even as the wave's energy and other properties change is the wavelength.

The correct option to the given question is option a.

The wavelength is the distance between two successive points of the wave that are in phase. As the wave's energy and amplitude change, the distance between two successive points of the wave that are in phase remains the same.

This is because wavelength is determined by the frequency of the wave and the speed of propagation. The frequency of the wave is the number of cycles of the wave that occur in one second, while the speed of propagation is the rate at which the wave travels through a medium.

If the frequency of the wave and the speed of propagation remain the same, then the wavelength will also remain the same even as the wave's energy and other properties change. This property is known as the characteristic of the wave.The amplitude is the maximum displacement of a point on the wave from its rest position. The frequency is the number of cycles of the wave that occur in one second. The rest position is the position of the medium when it is not disturbed.

Hence, wavelength of a transverse wave remains same even as the wave's energy and other properties change.

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Answer:

600 J

Explanation:

KE = 1/2 mv^2

Answer:

there are just a bit over 1.6 km in a mile so 7.5*1.6=12. something so there is just a little bit more distance in 7.5 miles

Explanation:

Answer:

t = 11 s

Explanation:

a=v-u/t

-2 = 0-22 / t

-2t = -22

t = -22/-2

t = 11

Answer:

emf = 15 * Area  and if A is given in square meters, the units of the emf will be Volts

Explanation:

Assuming that the area of the loop of current (A) is known, the magnitude of the induced emf can be calculated using Faraday-Lenz's Law:

\(emf=|-\frac{\Delta\,\Phi}{\Delta \,t} |=|\frac{A\,B}{\Delta \,t}|=|\frac{A\,(3)}{0.2}|=15\,A\)

and if the area (A) is given in square meters, the emf will directly come in units of Volts.