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The Mars rover, Spirit, has a mass of 836 kg.
Calculate its weight on Earth.

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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Answer:

please tell me what does w.r mean ? then I will try to give answer

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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BTU = Flow Rate In GPM (of water) x (Temperature Leaving Process - Temperature Entering Process) x 500.4*Formula changes with fluids others than straight water.

Sensible heat is the type of heat that causes a change in temperature when you heat or cool an object. For instance, when you heat an ice cube, its temperature will start to rise until it reaches 0 °C, at which time it will begin to melt.

Similar to this, when we heat water from room temperature, it gets hotter and hotter until it begins to boil. Sensible heat is the heat that causes a change in temperature. In other words, the sensation you have is heat.

Latent heat, in contrast, is a type of heat that solely affects phase transitions. Use our latent heat calculator to learn more. The equation for sensible heat is:

=Q=mc p (T f −Ti )

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Answer:

FALSE

FALSE

FALSE

FALSE

Answer:

a) 94.26 g/s

b) 4.713 cm/s

c) 2356.5 cm^2

Explanation:

a) velocity of blood through the aorta = 30 cm/s

radius of aorta = 1 cm

density of blood = 1 g/cm^3

Area of the aorta = \(\pi r^{2}\) = 3.142 x \(1^{2}\) = 3.142 cm^2

Flow rate through the aorta Q = AV

where A is the area of aorta

V is the velocity of blood through the aorta

Q = 3.142 x 30 = 94.26 cm^3/s

Current of blood through aorta \(I\) = Qρ

where ρ is the density of blood

\(I\) = 94.26 x 1 = 94.26 g/s

b) Velocity of blood in the major aorta = 30 cm/s

Area of the aorta = 3.142 cm^2

Velocity of blood in the major arteries = ?

Area of major arteries = 20 cm^2

From continuity equation

\(A_{ao} V_{ao} = A_{ar} V_{ar}\)

where

\(V_{ao}\) = velocity of blood in the major arteries

\(A_{ao}\) = Area of the aorta

\(V_{ar}\) = velocity of blood in the major arteries

\(A_{ar}\) = Area of major arteries

substituting values, we have

3.142 x 30 = 20\(V_{ar}\)

94.26 = 20\(V_{ar}\)

\(V_{ar}\)  = 94.26/20 = 4.713 cm/s

c) From continuity equation

\(A_{ar} V_{ar} = A_{c} V_{c}\)

where

\(A_{ar}\) = Area of major arteries = 20 cm/s

\(V_{ar}\) = velocity of blood in the major arteries = 4.713 cm/s

\(A_{c}\) = Area of the capillary system = ?

\(V_{c}\) = velocity of blood in the capillary system = 0.04 cm/s

substituting values, we have

20 x 4.713 = \(A_{c}\)  x 0.04

94.26 = 0.04\(A_{c}\)

\(A_{c}\)  = 94.26/0.04 = 2356.5 cm^2

This question involves the concepts of volumetric flow rate, continuity equation, and flow velocity.

a) Total current of the blood passing through the aorta is "94.2 g/s".

b) The velocity of blood in major arteries is "4.71 cm/s".

c) The cross-sectional area of the capillary system is "2356.2 cm²".

a)

First, we will find the volumetric flow rate of the blood, using the continuity equation's formula:

\(Q=Av\)

where,

Q = volumetric flow rate = ?

A = cross-sectional area of aorta

A =  \(\pi(r)^2=\pi(1\ cm)^2= 3.14\ cm^2\)

v = flow velocity = 30 cm/s

Therefore,

\(Q=(3.14\ cm^2)(30\ cm/s)\)

Q = 94.25 cm³/s

Now, the blood current will be given as:

I = Qρ

where,

I = current = ?

ρ = blood density = 1 g/cm³

Therefore,

I = (94.2 cm³/s)(1 g/cm³)

I = 94.2 g/s

b)

Now, this volumetric flow rate will be constant in major arteries:

\(Q = A_r v_r\\\\v_r=\frac{Q}{A_r}\)

where,

Ar = cross-section area of major arteries = 20 cm²

vr = flow velocity of blood in major arteries = ?

Therefore,

\(v_r=\frac{94.25\ cm^3/s}{20\ cm^2}\)

vr = 4.71 cm/s

c)

Now, this volumetric flow rate will be constant in capillaries:

\(Q = A_c v_c\\\\A_c=\frac{Q}{v_c}\)

where,

Ac = cross-section area of capillaries = ?

vc = flow velocity of blood in capillaries = 0.04 cm/s

Therefore,

\(A_c=\frac{94.25\ cm^3/s}{0.04\ cm/s}\)

Ac = 2356.2 cm²

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Answer:

Step 1: List the mass and velocity of the object. Step 2: Convert any values into SI units (kg, m, s). Step 3: Multiply the mass and velocity of the object together to get the momentum of the object.

Answer:

Disease are caused by micro organisms

All objects in the universe are attracted to one another

species evolved through natural selection

The scientific facts from the given list are,

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

Microorganisms that are too tiny to be seen with the bare eye are the primary cause of many illnesses.

The force of gravity draws all objects in the cosmos toward one another.

Natural selection is the process through which species change.

Therefore options A, B, and C are scientific facts.

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Answer:

the acceleration of A is three times that of B

Answer:

Effective resistance of two equal resistors in series is twice that of a single resistor and in essence will reduce the amount of current flowing in the circuit.

Explanation:

When two resistors are connected in series, their effective resistance is the sum of their individual resistances. For example, given two resistors of resistance values R₁ and R₂, their effective resistance, Rₓ is given by;

Rₓ = R₁ + R₂            --------------(1)

If these resistors have equal resistance values, say R, then equation 1 becomes;

Rₓ = R + R

Rₓ = 2R

This means that their effective resistance is twice of their individual resistances. In other words, when two equal resistors are in series, their effective resistance is twice the resistance of each single one of those resistors.

Now, according to Ohm's law, voltage(V) is the product of current (I) and resistance (R). i.e

V = IR

I = \(\frac{V}{R}\)

We can deduce that current increases as resistance decreases and vice-versa.

So, if the two equal resistors described above are connected in series, the amount of current flowing will be reduced compared to having just a single resistor.

Answer:

Because gravity makes you able to stand and move around

Gravity can't fail

it can fail only in astronuts camp and in space

Explanation:

✌❤

Yh....

:)

The force would be one-fourth as much.

Force is a push upon an object resulting from its interaction with another object. It is a vector quantity that is described by both magnitude and direction. Forces cause an object to accelerate.

Therefore, The force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. So if one of the objects has its mass halved, the gravitational force between them will decrease by a factor of (1/2)^2 = 1/4.

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All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.

In terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.

In conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.

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The diameter of the Moon is around one-fourth (27.2%) of the diameter of the Earth.

what is diameter ?

A diameter of a circle would be any straight line segment that goes through the Centre of the circle and has ends that are on the circle. It can alternatively be described as the circle's longest chord. Both definitions are true for the diameter of a sphere.

In current parlance, the length d of a diameter is also referred to as the diameter. In this context, the diameter is used rather than the diameter (which corresponds to the line segment itself), since all diameters of a circle or sphere share the same length, which is twice the radius.

3476 km is the diameter of the moon (equator) 3472 kilometres 

The diameter of the Earth is 12756 km at the equator and 12742 km at the poles.

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The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

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The initial velocity of the object in motion is determined as 19.8 m/s.

The initial velocity of the object in motion is calculated by applying the third equation of motion as follows;

v² = u² + 2gh

where;

when the object reaches maximum height, the final velocity, v = 0

The initial velocity of the object in motion is calculated as;

0 =  u² + 2 (-9,8ms²) x 20m​

0 =  u² - 392

u² = 392

u = √392

u = 19.8 m/s

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Answer:

Explanation:

First, we need to convert the velocity to meters per second:

60 mph = 88.5 ft/s = 26.82 m/s

Now we can use the formula:

v = at

where v is the final velocity, a is the acceleration, and t is the time.

Rearranging this formula, we get:

t = v/a

Substituting the values, we get:

t = 26.82 m/s / 13.5 m/s^2 = 1.987 seconds (rounded to three decimal places)

Therefore, it will take approximately 1.987 seconds to reach 60 mph with an average acceleration of 13.5 m/her/sec.

The vehicle will hit 60 mph in 7152 seconds (or about 1 hour and 59 minutes) with an average acceleration of 13.5 m/hr/sec.

The definition of acceleration is. The pace at which velocity changes with regard to time. Because it has both amount and direction, acceleration is a vector variable. It is also the second derivative of location in relation to time, or the first derivative of motion in relation to time.

We can begin by converting the final velocity to meters per second (m/s) as the initial acceleration is given in m/hr/sec.

60 mph = 26.8224 m/s (1 mile = 1.60934 km, 1 hour = 3600 seconds)

Now, we can use the formula:

v = u + at

Where,

v = final velocity = 26.8224 m/s

u = initial velocity = 0 m/s (car starts at rest)

a = acceleration = 13.5 m/hr/sec = 0.00375 m/s^2 (convert from m/hr/sec to m/s^2)

t = time taken to reach the final velocity

Substituting the values, we get:

26.8224 = 0 + (0.00375)t

t = 26.8224 / 0.00375

t ≈ 7152 seconds

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Direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

Given:

Apparent power (S) = 10 KVA = 10,000 VA

Line voltage (V) = 380 V

Frequency (f) = 50 Hz

Xd = 12 ohms

Xq = 8 ohms

Ra = 1 ohm

Power factor (pf) = 0.8 lagging

Load angle (δ) = 16.15 degrees

(i) Armature current's direct axis and quadrature axis components

We know that the apparent power is given by S = 3VLILcos(φ), where VL is the line voltage, IL is the line current, and φ is the angle between them. For a star-connected alternator, line voltage is equal to phase voltage, so we can write:

S = 3Vphase Iphase cos(φ)

Iphase = S / (3Vphase cos(φ))

For a lagging power factor, cos(φ) = 0.8, so

Iphase = 10,000 / (3 x 380 x 0.8) = 10.46 A

The direct axis component (Id) and the quadrature axis component (Iq) make up the armature current.  Using the given values of Xd, Xq, and Ra, we can calculate these components as follows:

Id = (VL - IaRa) / Xd

Iq = (VL - IaRa) / Xq

where Ia is the magnitude of the armature current, which is equal to the magnitude of the line current divided by √3. Thus,

Ia = Iphase / √3 = 10.46 / √3 = 6.03 A

Substituting the given values:

Id = (380 - 6.03 x 1) / 12 = 30.28 A

Iq = (380 - 6.03 x 1) / 8 = 46.92 A

(ii) Excitation voltage of the generator:

The excitation voltage (E) of the generator is given by:

E = Vphase + IqXq

Substituting the given values:

E = 380 + 46.92 x 8 = 765.36 V

Therefore, the direct axis and quadrature axis components of armature current are 30.28 A and 46.92 A respectively, and the excitation voltage of the generator is 765.36 V.

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As the pendulum swings from position A to position B, the potential energy decreases while the kinetic energy increases. According to the law of conservation of energy, the total energy in a system remains constant, neglecting friction. Therefore, the potential energy lost by the pendulum is converted into kinetic energy. The correct relationship of kinetic energy to potential energy as the pendulum swings from position A to position B is:

The potential energy decrease is equal to the kinetic energy increase.

So, the answer is option B.

Answer:

The potential energy increase is equal to the kinetic energy decrease.

A fixed distance away from the siren, the ambulance driver can hear the siren's true frequency. A frequency higher than the real 500 Hz will be audible to you because of the shrinking distance between you and the siren.

The quantity of waves passing a fixed place in a unit of time is known as the frequency in physics. A body in harmonic oscillator undergoes how many cycles or vibrations in one unit of time, according to this definition.

Divide the quantity of times the event happens over the period of time to determine the frequency. Example: Anna divides the time by the quantity of page clicks (236). (one hour, or 60 minutes). She discovers that her clickthrough rate is 3.9 per minute.

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The centripetal force affecting the body has to be doubled.

1. The centripetal force acting on a body moving in a circular path of radius r with speed v is given by F = mv²/r, where m is the mass of the body.

2. If the speed of the body increases to √2v while moving in the same circular path, the new centripetal force acting on the body can be calculated as follows:

  F' = m(√2v)²/r = 2mv²/r

3. Comparing the new centripetal force F' with the initial centripetal force F, we get:

  F' = 2F

4. As a result, the centripetal force acting on the body must be twice in order for the body to proceed in the same circular direction at 2v.

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Answer:

Answer:

c

Explanation:

Answer:

the answer to your question is c

Explanation:

Answer:

The added mass will mean a longer period of oscillation.

Explanation:

The period of oscillation here is given by the formula;

T = 2π√(m/k)

Where m is mass and k is spring constant

From the equation of oscillation period above, it's obvious that when we increase the mass, the oscillation period will also increase.

Thus, the added mass will mean a longer period of oscillation.

Answer:

the scientific study of natural forces such as light, sound, heat, electricity, pressure, etc.

Explanation:

mark as brainliest

Imagine, if you are traveling toward a black hole. The time that time dilation is likely to occur is option A: when you approach the event horizon.

The event horizon is the boundary around a black hole beyond which nothing, including light, can escape. As an object approaches the event horizon, the gravitational pull becomes stronger. This causes time to slow down for the object, a phenomenon known as time dilation.

The effect becomes more pronounced as the object gets closer to the singularity, the central point of the black hole where the gravitational pull becomes infinitely strong.

Crossing a wormhole, which is a hypothetical passage through space-time connecting distant points, would also experience time dilation, but it is different than the one that occurs near a black hole.

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Answer: False

Explanation:

Took the test.

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Rationale:

Ideal mechanical advantage is the ratio of input to output distance moved.

Answer:

66 km

Explanation:

Given that:

The speed of the two trains = 33 km/h

The speed of the bird = 60 km/h

The distance apart between the two trains =  60 km

From the given information, we are being told that the two trains are going at the same speed. Therefore, they will definitely collide at 30 km

We know that:

speed  of the train = distance traveled × time

Making the time t the subject of the formula:

time = speed of the train / distance traveled

time = 30 km / 33 km/h

time = 0.909 / hr

Thus, the bird flying at a given speed of 60 km/h in a time of 0.909 / hr will cover a total distance of :

distance (d) = speed of the bird/ time

distance (d) = \(\dfrac{60 \ km/hr}{0.909 \ /hr}\)

distance (d) = 66 km