According to Newton's law of universal gravitation, which statements are true?
As we move to higher altitudes, the force of gravity on us decreases.
O As we move to higher altitudes, the force of gravity on us increases,
O As we gain mass, the force of gravity on us decreases.
O Aswe gain mass, the force of gravity on us increases.
DAs we move faster, the force of gravity on us increases.

To find the distance traveled, we just have to add all the side lengths of the square, in other words, the perimeter.

Answer:

S = Vy t + 1/2 g t^2 = 1/2 g t^2    vertical speed with zero initial speed

t = (2 S / g)^1/2      with g = 32 ft/sec^2

t = (900 / 32)^1/2 = 5.30 sec    time to reach ground

V = a t = 32 ft/s^2 * 5.30 s = 170 ft/sec

170 ft/sec / (88 ft/sec / 60 mph) = 116 mph           since 88 ft/sec = 60 mph

Answer:

True

Explanation:

8.9 m/s

Explanation:

Note that the jumper launched from and then landed also on the ground. This means that the jumper's vertical displacement y is zero. From this information, we can determine the amount of time it took for him to make the jump using the equation

\(y = v_{0y}t - \frac{1}{2}gt^2 = (v_0\sin{45°})t - \frac{1}{2}gt^2\)

Since y = 0, then the equation above becomes

\(0 = (v_0\sin{45°})t - \frac{1}{2}gt^2\)

Solving for t, we get

\(t = \dfrac{2v_0\sin{45°}}{g}\)

We also know that

\(x = v_{0x}t = (v_0\cos{45°})t\)

Using the expression for t we got earlier into the equation above, we get

\(x = (v_0\cos{45°})\left(\dfrac{2v_0\sin{45°}}{g}\right)\)

\(\;\;\;\;=\dfrac{v_0^2}{g}(2\sin{45°}\cos{45°})\)

\(\;\;\;\;= \dfrac{v_0^2}{g}\sin{2(45°)°}\)

\(\Rightarrow x = \dfrac{v_0^2}{g}\)

Solving for \(v_0,\) we get

\(v_0^2 = gx \Rightarrow v_0 = \sqrt{gx}\)

Putting in the given values, we find that the final velocity is

\(v_0 = \sqrt{(9.8\:\text{m/s}^2)(8.0\:\text{m})} = 8.9\:\text{m/s}\)

Note: You can also solve this problem by using the range equation:

\(R = \dfrac{v_0^2}{g}\sin{2\theta}\)

The list of the object in order of least to greatest momentum is Y, W, X, Z (last option)

To obtain the list in order of least to greatest momentum, we shall obtain the momentum of each object. Details below:

For W

Momentum = mass × velocity

= 12 × 5 m/s

= 60 Kg.m/s

For X

Momentum = mass × velocity

= 15 × 8 m/s

= 120 Kg.m/s

For Y

Momentum = mass × velocity

= 18 × 2 m/s

= 36 Kg.m/s

For Z

Momentum = mass × velocity

= 28 × 10 m/s

= 280 Kg.m/s

From the above, we have the following:

Thus, the list from least to greatest of the momentum is Y, W, X, Z (last option)

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Complete question:

See attached photo

The potential energy of the guitar string which has a tension of 75 N is 0.3 J

E = F x / 2

E = Potential energy

F = Tension

x = Displacement

F = 75 N

x = 8 mm = 0.008 m

E = ( 75 * 0.008 ) / 2

E = 0.3 J

If spring constant was given instead of tension, we can find the tension of the spring using,

F = k x

k = Spring constant

Therefore, the potential energy of the guitar string which has a tension of 75 N is 0.3 J

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The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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The accumulated charge on one the plates is 80 μC.

option A.

The resultant capacitor of the 6 identical capacitors is calculated by applying the following formula as shown below for parallel capacitors.

Ct = C₁ + C₂  +  C₃  + C₄  + C₅ + C₆

Since the capacitors are identical, C₁ = C₂  =  C₃  = C₄  = C₅ = C₆ = C

Each of the two capacitors are in series, and the resultant of the two series capacitors is calculated as;

1/Ce= 1/C + 1/C

1/Ce = 2/C

Ce = C/2

Ce = 4 μF/2

Ce = 2 μF

The total capacitances = 3 x 2μF  = 6 μF

The accumulated charge on one the plates is calculated as follows;

Q = CV

Q = (6 μF x 80 )/6

Q = 80 μC

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3. Fulcrum left

Explanation:

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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Radius of rotation, r = \(mv^2\)/F = (3.0 kg)(5.0 \(m/s)^2\)/(8.0 N) = 9.375 m.

To find the radius of rotation for a rotating object with a mass of 3.0 kg and a force of 8.0 N acting upon it,

we can use the centripetal force formula:

F = \(mv^{2/r\). In this formula, F represents the force, m is the mass, v is the velocity, and r is the radius.

Given a mass of 3.0 kg, a force of 8.0 N, and a rotational speed of 5.0 m/s,

we can rearrange the formula to solve for the radius: r = \(mv^{2/F\).

Plugging in the given values,

we get r = (3.0 kg)(5.0 \(m/s)^2\)/(8.0 N) = 9.375 m.

Thus, the radius of rotation is 9.375 meters.

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The potential difference across the parallel plate capacitor is 2.26 millivolts

The capacitance of the parallel plate capacitor is given by C = ε₀A/d where

Also, the surface charge on the capacitor Q = σA where

The potential difference across the parallel plate capacitor is V = Q/C

= σA ÷ ε₀A/d

= σd/ε₀

Substituting the values of the variables into the equation, we have

V = σd/ε₀

V = 5.0 × 10⁻¹² C/m² × 4.0 × 10⁻³ m/8.854 × 10⁻¹² F/m

V = 20.0 C/m × 10⁻³/8.854 F/m

V = 2.26 × 10⁻³ Volts

V = 2.26 millivolts

So, the potential difference across the parallel plate capacitor is 2.26 millivolts

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Answer:

The  value is  \(q =  70.8\ C\)

Explanation:

From the question we are told that

   The  area is  \(A =  2.0 \ k m^2 = 2000000 \  m\)

   The height is  \(h  =  10 \  km  =  10000 \  m\)

    The  electric field is  \(E =  4.0*10^{6} \  N/C\)

Generally the electric field is mathematically represented as

      \(E =  \frac{q}{A *  \epsilon_o }\)

Here \(\epsilon_o }\) is the permitivity of free space with value  

      \(\epsilon_o }   =  8.85 *10^{-12} \  N \ m^2 /C^2\)

=>   \(4.0*10^{6} =  \frac{q}{2000000 *    8.85 *10^{-12} }\)

=> \(q =  70.8\ C\)

Answer:

21.33 m s^-1

Explanation:

To find the final velocity, we will use the equation for impulse, so

Where F is the force, t is the time, m is the mass, vf is the final velocity and vi is the initial velocity. We know that

F = 16 N

t = 2 min = 120 s

m = 90 kg

vi = 0 m/s

vf = ?

Solving for vf, we get:

Then, we can replace the values to get

Therefore, the answer is

21.33 m s^-1

The electric potential energy of the system depends on all three quantities listed: q, Q, and q's location relative to the group of charges.

The electric potential energy of the system is directly proportional to the magnitude of the charge q, so it depends on the value of q.

The electric potential energy of the system is directly proportional to the total charge Q of the group of source charges, so it depends on the value of Q.

The electric potential energy of the system depends on the location of the charge q relative to the group of source charges, because the electric potential energy is a function of the distance between q and the source charges. Specifically, the electric potential energy of the system will be higher when the distance between q and the source charges is smaller, and lower when the distance is larger.

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Answer: milliliters

Explanation:

centimeters and kilometers are measurements of length/distance. Kilogram is a measurement of weight, and millimeters is a measure of how much space an object takes up.

The speed of sound is given by:

then in this case the speed is:

The distance is given by:

plugging the values given we have:

Therefore the storm is 2445.03 meters away

Answer:

C. the help our understanding of the formation of planetary bodies.

Explanation:

this is the answer of PLATO

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Answer:

28.7 m.

Explanation:

Hello,

In this case, since the coin is dropped from the rest condition at which the initial velocity is 0 m/s, we can compute the height of the precipice via the following equation:

\(y=y_0+v_0*t-\frac{1}{2}gt^2\)

Whereas the final height is 0, the initial one is to be computed and the gravity is considered as 9.8 m/s², therefore the height turns out:

\(y=y_0+v_0*t-\frac{1}{2}gt^2\\\\y_0=\frac{1}{2}gt^2=\frac{1}{2}*9.8m/s^2*(2.42s)^2 \\\\y_0=28.7m\)

It means that the height of the cliff is 28.7 m.

Regards.

Explanation:

Energy=6000J

Energy=mgh

6000=20×9.81×h

h=30.61 m

Answer:

1) 1256.02 kJ

2)76.20 lb

3)2336.30 lb

Explanation:

The kinetic energy of a 4,934 pound pickup truck going 55 mph is:

First, we need to convert the mass of the truck from pounds to kilograms:

4,934 lb = 2,236.17 kg

The kinetic energy is given by the formula: KE = 0.5 * m * v^2

where m is the mass of the object and v is the velocity.

Plugging in the values, we get:

KE = 0.5 * 2,236.17 kg * (55 mph)^2 = 1,256,024.47 J

Converting to kJ, we get:

KE = 1,256,024.47 J / 1000 = 1256.02 kJ

A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?

The force required to overcome rolling resistance is given by the formula:

F = Crr * W

where Crr is the rolling resistance coefficient and W is the weight of the car.

First, we need to convert the weight of the car from pounds to Newtons:

4,992 lb = 22,612.88 N

Plugging in the values, we get:

F = 0.015 * 22,612.88 N = 339.19 N

Converting to pounds, we get:

F = 339.19 N / 4.45 = 76.20 lb

The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?

We cannot directly convert from kilowatt-hours to pounds, as they are two different units. However, we can use the energy density of the battery to estimate its weight.

Assuming an energy density of 200 Wh/kg for the battery, we can calculate the mass of the battery as:

212 kWh * 1000 Wh/kWh / 200 Wh/kg = 1060 kg

Converting to pounds, we get:

1060 kg * 2.205 lb/kg = 2336.30 lb

Answer:Materials that absorb light are called pigments. Pigments are colored substances that absorb certain wavelengths of light and reflect others. For example, a red pigment absorbs all colors of light except red, which it reflects. Materials that reflect light are called reflective materials. Reflective materials are materials that reflect light instead of absorbing it. Examples of reflective materials include aluminum foil and mirrors. Some materials, such as glass, are transparent and allow light to pass through them

From the histogram given, there were at approximately 7 downloads between 3pm and 4pm . This can be derived by counting the rows in that time period.

A histogram is a graph that depicts the frequency distribution of a few data points from a single variable.

Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.

Histograms are frequently used to depict the key properties of data distribution in a handy format. It is especially beneficial when working with huge data sets (more than 100 observations). It can aid in the detection of uncommon observations (outliers) or gaps in the data.2

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Answer:F = 255 N

Explanation:

It is given that,

Mass of the boy, m = 25 kg

Acceleration of the elevator,  

The elevator is accelerating in upward direction. The net force acting on the boy is given by :

g is the acceleration due to gravity

F = 255 N

The scale reading is 255 N as it begins to accelerate upward. hence, this is the required solution.

Mechanical energy is the form of energy associated with the motion or position of an object.​

Mechanical energy can be defined as the energy possessed by an object as a result of its motion or position.

Mechanical energy is divided into two.

Kinetic energy and potential energy

Kinetic energy is the energy possessed by an object as a result of its motion

Potential energy is the energy possessed by an object as a result of its position.

Therefore, we can conclude that mechanical energy is the form of energy associated with the motion or position of an object.​

Answer:

\((8,5)\)

Explanation:

Think of it as a simpler algebra problem with parentheses. What you are doing is \((6,4)-(-2,-1)\)

so lets DISTRIBUTE this negative sign to (-2, -1)

we get: \((6,4)+(2,1)\)

add the x values and add the y values

\((8,5)\)