The phase of the moon that immediately precedes the new moon is the:.

The moon with acceleration due to the gravity at the surface has a mass of roughly 6.67 × 10²² kg.

Using the formula for gravitational acceleration at the surface of a planet or moon:

g = G × M / r²

where g = acceleration due to gravity, G = gravitational constant, M = mass of the moon, and r = radius of the moon.

Plugging in the given values:

1.6 m/s² = 6.67 × 10⁻¹¹ N·m²/kg² × M / (1.7 × 10⁶ m)²

Simplifying the right side of the equation:

M = 1.6 m/s² × (1.7 × 10⁶ m)² / (6.67 × 10⁻¹¹ N·m²/kg²)

M ≈ 6.67 × 10²² kg

Therefore, the mass of the moon is approximately 6.67 × 10²² kg.

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As per the given values, and uncertainty of the speedometer the actual speed could be 61.33 km/h.

Uncertainty = 2.0 km/h

Measured value = 90 km/h

Calculating the Percent uncertainty -

= (Uncertainty / Measured value) x 100

= (2.0 / 90 ) x 100

= 2.22%

Now, assuming the speedometer has the same percent uncertainty at 60 km/h, this percent uncertainty can be used to determine the range of speeds.

Percent uncertainty = 2.22%

Measured value = 60 km/h

Calculating the range -

= (Percent uncertainty / 100) x Measured value

= (2.22% / 100) x 60

= 1.33

Calculating the Total speed -

= 60 + 1.33

= 61.33

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Complete Question:

If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h ,what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h , what is the range of speeds you could be going?

Answer:

D

Explanation:

To represent objects, processes, and systems that are too large, too small, or too complex to study directly

The correct option is (d) To represent objects, processes, and systems that are too large, too small, or too complex to study directly.

The 4 types of scientific models -

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The velocity of the ball is 1 m/s which starts with a speed of 2.0 m/s and slows at a constant rate of 0.5 m/s².

According to the data given:

Speed of the ball: 2.0 m/s

Acceleration: 0.50 m/s²

Time is 2.0 s

The ball starts rolling up the hill with a speed of 2m/s (u=2 m/s²) and it decelerates at a constant rate of 0.5 m/s² (a = -0.5 m/s², minus because it decelerates).

The equation for calculating velocity is:

v = u + a x t,  t represents time here

So, ball's velocity after 2 seconds is:

v = 2m/s + (-0.5m/s² x 2s)

v = 2m/s + (-1m/s)

v = 1m/s

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Explanation:

Warm air falls to the ground

The statement that is correct about air temperature is when the air temperature is higher, the weather is warmer. The correct option is 1.

A measurement of the air's heat or cold is its temperature. It is the weather parameter that is most frequently measured.

The kinetic energy, or energy of motion, of the gases that make up air, is more explicitly described by temperature. The temperature rises as gas molecules move more swiftly.

Surface temperatures are typically hotter than air temperatures. Parking your car in the sun is an illustration of this. The air inside the car will be fairly close to the outside air temperature and you may leave the windows down and yet have excellent ventilation.

Therefore, the correct option is 1. When the air temperature is higher, the weather is warmer.

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In a space with hyperbolic geometry, the behavior of parallel lines differs from that of Euclidean geometry.

In hyperbolic space, parallel lines diverge from each other as they extend further.If two initially parallel flashlight beams traverse billions of light-years of space in a hyperbolic geometry, they will gradually diverge from each other. The divergence between the beams will increase as they travel a greater distance.

This phenomenon is a consequence of the non-Euclidean geometry of space. In hyperbolic space, the curvature causes parallel lines to "spread out" or diverge. The extent of the divergence will depend on the specific curvature of the space and the distance traveled.

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The velocity of the ball after it hits the bottle is 15.8 m/s

Let m₁ represent the mass of the ball, m₂ the mass of the bottle, u₁ the velocity of ball before impact, u₂ the velocity of bottle before impact, v₁ the velocity of ball after impact and v₂ the velocity of bottle after impact.

Given that:

m₁ = 0.7 kg, m₂ = 0.15 kg, u₁ = 22 m/s, u₂ = 0, v₂ = 29

momentum before impact = momentum after impact, hence:

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

0.7(22) + 0.15(0) = 0.7v₁ + 0.15(29)

0.7v₁ = 11.05

v₁ = 15.8 m/s

Therefore the velocity of the ball after it hits the bottle is 15.8 m/s

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i-beams are the choice for structural skyscrapers because of their high functionality.

the shape of i-beams makes them excellent for unidirectional bending parallel to the web.

the horizontal flanges resist the bending movement, while the web resists the shear stress.

                                           ♡  hope this helped!  ♡

Answer:

B

Explanation:

that is the most common due to the fact that you can observe what you want before you make a purchase

Answer:

Explanation:

b

The answer to the question is -3.63 x 10-19 J for the decrease inside the dipole's potential energy.

Two point charge +q and q coupled by a vector a generate an electrical dipole. The formula for the electric polarizability is p = qa. According to convention, the vector a transfers the charge from minus to positive.

Using the formula,

ΔU = -p * E * Δθ

where is the change in degree between the starting and ultimate orientations of the dipole, E is the strength of the electromagnetic field, and p is the dipole moment.

Δθ = 25.0° - 20.0° = 5.0°

p = 1.90 x 10^-27 C·m

E = 3.50 x 10^6 N/C

Putting in the values, we get:

ΔU = -p * E * Δθ

= -1.90 x 10^-27 C·m * 3.50 x 10^6 N/C * (5.0°)

= -3.63 x 10^-19 J.

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Answer:

-220 j

Explanation:

Answer:

The hunter should aim directly at the perched monkey because the tranquilizer dart will fall away from the line sight at the same rate that the monkey falls from its perch.

Tan theta = 9 / 90 = .1      so theta = 5.71 deg

The time for the monkey to reach the ground is

t = (2 h / g)^1/2 = (18 / 9.8)^1/2 = 1.36 sec

So the horizontal speed of the dart must be at least

Vx = 90 m / 1.36 sec = 66.4 m/s

Vx = V cos theta

V = 66.4 m/s / cos 5.71 = 66.7 m/s

The angle of projection of the tranquilizer dart is 5.7⁰

The horizontal speed of the tranquilizer dart is 66.5 m/s

The given parameters;

The angle of projection of the tranquilizer dart is calculated as;

\(tan(\theta) = \frac{y}{x} \\\\tan(\theta) = \frac{9}{90} \\\\tan(\theta) = 0.1\\\\\theta = tan^{-1}(0.1)\\\\\theta = 5.71 ^0\)

The speed of the tranquilizer dart is calculated as;

X = v₀ₓt

where;

t is the time to reach maximum height

X is the horizontal displacement = 90 m

The time to reach maximum height is calculated as;

\(h = v_0_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 9}{9.8} } \\\\t = 1.36 \ s\)

The horizontal speed of the tranquilizer dart is calculated as;

\(X = v_0cos(\theta) \times t\\\\90 = v_0\times cos(5.71) \times 1.36\\\\90 = 1.353 v_0\\\\v_0= \frac{90}{1.353} \\\\v_0 = 66.5 \ m/s\)

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Answer: When a car is struck by lightning, the resulting electric field inside the car is zero.

Explanation:

Answer:impulse

Explanation:

Newton's second law states that force is the rate of change of momentum

\(F = \dfrac{\Delta p}{\Delta t} \Rightarrow F\,\Delta t = \Delta p\\\\\Delta p \text{ is the change in momentum and }F\,\Delta t \text{ is the impulse}\)

Answer:

The correct option is (b).

Explanation:

Given that,

The height of the object, h = 15 cm

Object distance, u = -44 cm

Image distance, v = -14 cm

We need to find the focal length of the lens. Using the lens formula.

\(\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}\\\\\dfrac{1}{f}=\dfrac{1}{(-14)}-\dfrac{1}{(-44)}\\\\f=-20.53\ cm\)

So, the focal length of the lens (-20.53 cm).

the electric field is more than the threshold value and the capacitor will experience dielectric breakdown.

1. Given values are,
side length of metal plates, a = 3 cm and b = 6 cm
distance between the plates, d = 2.36 cm
voltage, V = 110 V
dielectric constant of water, k = 80.4
dielectric constant of new material, k2 = 3.75
a) To calculate the capacitance of capacitor, the formula is, C=εA/d  ……………… (1)
where A = area of plate, ε = permittivity, and d = separation distance between two plates.
We know that the permittivity of vacuum is given as, ε0 = 8.854 x 10^-12 F/m
The capacitance of capacitor can be expressed as,
C1 = ε0 (kA/d) …………….. (2)
where, ε0 = permittivity of vacuum, k = dielectric constant and A = area of plate.
Substituting the given values in equation (2),
C1 = 8.854 x 10^-12 x 80.4 x (0.03 x 0.06)/0.0236
C1 = 0.000132 F
Therefore, the capacitance of capacitor is 0.000132 F.

b) To calculate the new capacitance, the formula is given as,
C2 = k2ε0A/d ……………… (3)
where k2 is the dielectric constant of new material.
Substituting the given values in equation (3),
C2 = 3.75 x 8.854 x 10^-12 x (0.03 x 0.06)/0.0236
C2 = 0.000263 F
Therefore, the new capacitance is 0.000263 F.

c) The new voltage can be calculated as,
V2 = V1(C1/C2) …………… (4)
Substituting the given values in equation (4),
V2 = 110 (0.000132/0.000263)
V2 = 55 V
Therefore, the new voltage is 55 V.

d) The charge on each plate is given as,
Q = CV ………….. (5)
Substituting the given values in equation (5),
Q = 0.000132 x 110
Q = 0.0145 C
Therefore, the charge on each plate is 0.0145 C.

2. Given values are,
capacitance, C = 3.23 µF
area of plate, A = 6.35 mm^2
separation distance between two plates, d = ?
new capacitance, C2 = 5.63 mF
new dielectric constant, k2 = ?
voltage, V = 110 V
electric field between two plates, E = 8.99 x 10^4 N/C
working voltage, Vw = 63 V

a) The separation distance between two plates can be calculated as,
C1/C2 = d2/d1  …………….. (6)
where d1 and d2 are the initial and final separation distance, respectively.
Substituting the given values in equation (6),
3.23 x 10^-6/5.63 x 10^-3 = d2/d1
d2 = 5.63 x 10^-3 x (d1/3.23 x 10^-6)
Area of plate, A = 6.35 mm^2 = 6.35 x 10^-6 m^2
The capacitance can be expressed as,
C = εA/d
d = εA/C
where ε = permittivity of dielectric material.
Therefore, substituting the given values in above equation,
d1 = ε x 6.35 x 10^-6/3.23 x 10^-6
d1 = 12.50 ε
Substituting the value of d1 in equation (6),
5.63 x 10^-3 = d2/12.50 ε
d2 = 70.38 ε
The separation distance between two plates is 70.38 ε.

b) The new dielectric constant can be calculated as,
C2 = k2ε0A/d2
k2 = C2d2/ε0A
Substituting the given values in above equation,
k2 = 5.63 x 10^-3 x 70.38 ε/(8.854 x 10^-12 x 6.35 x 10^-6)
k2 = 3.95
Therefore, the new dielectric constant is 3.95.

c) The new voltage can be calculated as,
V2 = V1(C1/C2)
Substituting the given values in above equation,
V2 = 110(3.23 x 10^-6/5.63 x 10^-3)
V2 = 0.063 V
Therefore, the new voltage is 0.063 V.

d) The electric field can be expressed as,
E = V/d
d = V/E
Substituting the given values in above equation,
d = 63/8.99 x 10^4
d = 7.01 x 10^-4 m
The voltage, V = 110 V > working voltage, Vw = 63 V

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Answer:

True

But not all engineers work the same! some dont take the same steps to there design!!

Hope this helped you luv!!!! C:

When you ride your bike around a corner at 10 m/s, you are accelerating. Acceleration is caused by any forces. Sliding friction keeps you in the seat when a car goes around a corner. If you throw a ball into the air, Earth exerts a force on the ball.

Answer:

yes because acceleration is a vector quantity and as u turn around a corner you are changing direction.

Explanation:

The energy lost due to friction is 82 J.

This is the energy lost by a body due to friction.

Note:  The energy lost due to friction = Potential energy-kinetic energy.

To calculate the energy lost by friction, we use the formula below.

Formula:

From the question,

Given:

Substitute the given values into equation 1

Hence, The energy lost due to friction is 82 J.

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The reversing valve on most air-source residential heat pumps is energized in order to change the direction of refrigerant flow.

The reversing valve is a key component of the heat pump system, as it allows the unit to switch between heating and cooling modes. When the valve is energized, it redirects the flow of refrigerant so that it can either absorb heat from the air outside and transfer it inside (during heating mode), or absorb heat from inside and transfer it outside (during cooling mode).

The reversing valve is typically controlled by the thermostat in the home, which signals the heat pump to switch modes as needed. When the thermostat calls for heat, the heat pump will energize the reversing valve to switch from cooling mode to heating mode, and vice versa when cooling is required.

It's important to note that not all heat pumps have reversing valves. Some units are designed to only provide either heating or cooling, and do not have the ability to switch modes. However, for those that do, the reversing valve is a crucial component that allows for efficient and effective temperature control in residential buildings.

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The horizontal velocity of the shadow is -0.33 m/s

The given parameters;

The horizontal velocity of the shadow is relative to the horizontal velocity of the fly.

The horizontal velocity of the shadow is calculated as follows;

Vₓ = V₀Cosθ

Vₓ = (0.36)Cos(204)

Vₓ = (0.36)(-0.9135)

Vₓ = -0.33 m/s

Thus, the horizontal velocity of the shadow is -0.33 m/s

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Answer:

Explanation:

The amount of force needed needs to be greater than all the forces acting in the opposite direction that the bowling ball was thrown. This includes air resistance, floor friction, gravity, and any other force involved. As long as the force acting on the bowling ball that is causing it to go in the direction of the pins is slightly greater than the opposite acting forces then it will continue in that direction. Since no values are provided we cannot calculate the actual precise value of force needed.

The final pressure of the gas is p2 = 2.085 * 10^5 pa.

Boyle's law is a gas law that states that the pressure exerted by a gas (of a given mass at a constant temperature) is inversely proportional to the volume it occupies. That is, if the temperature and quantity of gas are constant, the pressure and volume of the gas are inversely proportional.

Boyle's Law states that a change in the volume occupied by a gas (at a constant amount and temperature) leads to a change in the pressure exerted by the gas. The following mathematical formulation of this law is possible:

P1V1 = P2V2

Given,

Initial Volume, v1 = 500 cm3

Final Volume, v2 = 240 cm3

Initial Pressure, p1 = 1.0 * 10^5 pa

Final Pressure, p2

We know that,

p1 v1 = p2 v2

1.0 * 10^5 * 500 = p2 * 240

p2 = 2.085 * 10^5 pa

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First consider what you want to achieve, and then commit to it. Set SMART (specific, measureable, attainable, relevant and time-bound) goals that motivate you and write them down to make them feel tangible. Then plan the steps you must take to realize your goal, and cross off each one as you work through them.

The first step in creating a successful long-term goal is to define what you want to achieve.

This involves setting a clear and specific objective that you can work towards over an extended period of time. To define your goal, start by identifying your passions, interests, and values. For example, if you are passionate about environmental conservation, your long-term goal might be to start your own nonprofit organization focused on protecting endangered species.

Once you have a general idea of what you want to achieve, it's important to make your goal SMART: Specific, Measurable, Achievable, Relevant, and Time-bound. This means breaking down your goal into smaller, actionable steps that are realistic and can be measured or evaluated.

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According to Faraday's law of induction, a change in magnetic field induces a current in a wire and a current flowing in a wire causes a changing magnetic field. This is modeled by the following formula:

Where:

Therefore, in order to induce the current, we need to move the magnet into and out of the coil. That way we create the change in the magnetic field that is required.

In order to hit the target, the archer should aim the arrow so that it follows a parabolic trajectory.

The archer should aim the arrow slightly higher than the target, so that the arrow will arc downward and reach the target. Additionally, the archer should take into account other factors such as wind speed and direction, as these can affect the trajectory of the arrow.

The parabolic trajectory is a curve created when an object is thrown or shot in the air at an angle, then follows the path of a parabola. The parabolic trajectory allows for the object to travel in an arc and reach a certain distance, such as a target.

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The horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

The component form of the velocity of the airplane includes both horizontal and vertical velocity and it is calculated as follows;

Vx = V cosθ

Vy = V sinθ

where;

θ = 170 - 90 = 80⁰

Vx = 495 mph (cos 80)

Vx = 85.96 mph

Vy = 495 mph (sin 80)

Vy = 487.5 mph

Thus, the horizontal component of the plane's velocity is 85.96 mph and the vertical component of the plane's velocity is 487.5 mph.

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The highest entropy for the jar of marbles is represented by the marbles are arranged in a random order.

Entropy is the measure of the degree of disorderliness of a system or degree of randomness of a system.

Entropy of a system increases with increase in randomness of the system or disorderliness of the system.

Thus, the highest entropy for the jar of marbles is represented by the marbles are arranged in a random order.

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