41. What is the magnitude of the gravitational force acting on a 79.5-kg student due to a 58.0-kg student sitting 2.40 m away in the classroom?A) 3.14 Ã 10-9 NB) 5.33 Ã 10-8 NC) 7.91 Ã 10-10 ND) 1.41 Ã 10-7 NE) 6.29 Ã 10-8 N

A) if each frame is 24 seconds long and there 243 frames, the total time that elapses is 243 times 24, which equals 5832 seconds.

B) For this, we will need to use kinematics

inital velocity = 0 m/s

time = 5832 seconds

distance = 56 meters

acceleration = ?

We can use the formula

From the information the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\)

To calculate the saturation mixing ratio (ws), we need to use the given information of specific humidity (w) and relative humidity (RH). The saturation mixing ratio represents the maximum amount of water vapor the air can hold at a given temperature.

The formula to calculate ws from w and RH is as follows:

ws = w ÷ (1 - w) × RH ÷ 100

Given:

w = 8 g \(kg^-1\)

RH = 20%

First, we need to convert w from grams per kilogram to a decimal fraction:

w = 8 ÷ 1000 = 0.008

Now we can substitute the values into the formula:

ws = 0.008 ÷ (1 - 0.008) × 20 ÷ 100

Calculating this expression:

ws = 0.008 ÷ 0.992 × 0.20

ws ≈ 0.000161 g \(kg^-1\)

Therefore, the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\).

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Answer:

B. 16 ohms

Explanation:

The two resistors in this circuit are in series, so the equation for equivalent resistance is \(R_{eq} = R_{1}+R_{2}\) where R1 and R2 are the two resistors in the circuit.

\(R_{eq} = R_{1}+R_{2}=8.0+8.0=16.0\) Ω

Justification:

The resistors in this circuit are in series, so the equivalent resistance is found by adding the values of the two resistors.

Answer:

Mass of water: 43 g

Explanation

hope it helps

Answer:

Answer: Elementary Entities are any of several entities, such as electrons, neutrons, or protons, that are less complex than atoms and are regarded as the constituents of all matter.

The rockets average acceleration during these first 5 minutes is 33.33 m/s².

The average acceleration of an object refers to the rate at which the velocity changes with time of motion of the object.

a = Δv/Δt

where;

The given parameters include;

v = 10 km/s = 10 km/s x 1000 m/1km = 10,000 m/s

t = 5 minutes = 5 x 60 s = 300 seconds

a = 10,000 / 300

a = 33.33 m/s²

Thus, the rockets average acceleration during these first 5 minutes is 33.33 m/s².

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Answer:

c

Explanation:

Answer:

C.

Explanation:

When there is heat the water turns into vapour if not covered but will turn back to water if covered (condensation)

6.00 g bullet, traveling horizontally at a speed of 400 m/s  is initially at rest on a horizontal surface then moment conservation V=0.4 m/s

Mass bullet = 6*10⁻³

Mass of block=2kg

Pi=Pf

(5*10⁻³)400+0=120*(6*10⁻³)+2v

v=0.7 m/s

Ki=1/2mv²=1/2ˣ6*10⁻³ˣ400²

Ki=1/2ˣ6ˣ10⁻³ˣ16ˣ10⁴

Ki=400j

Kf=1/2mv²=1/2ˣ6*10⁻³ˣ120²

Kf=36J

moment conservation

V=0.4 m/s.

The principle of momentum conservation states that momentum is neither created nor destroyed but only changed by the action of forces as they are described by Newton's laws of motion. This applies to a particular problem domain. The only thing that happens when two bodies collide is that their momentum changes. Thus, for bodies colliding, changes in momentum are always equal and opposite. The momentum of the other body must decrease by the same amount if the momentum of the first body increases. As a result, momentum always remains constant.

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Answer:

4/3 kg

Explanation:

KE = (1/2)mv^2

6=0.5*m*(3)^2

m=4/3

Answer:

1) Sand cannot hold the heat. It acts like a mirror to the sun. During the daytime, it stays warm, and when the Sun is absent it loses all its heat making the nights colder. There's nothing in the desert that can either absorb heat from the sun or hold it on the surface when the sun is set.

2) Deserts are hot primarily because of a lack of water. When the sun shines on the ground, all of the absorbed sunlight goes into raising the ground's temperature. DESERTS ARE COLD AT NIGHT:Because of the lack of water in the ground, and little water vapor in the air, most deserts can get quite cool at night.

3) The temperature in the desert can change drastically from day to night because the air is so dry that heat escapes rapidly at night. The daytime temperature averages 38°C while in some deserts it can get down to -4°C at night. The temperature also varies greatly depending on the location of the desert.

"An object has a weight of 8 pounds on the Moon, and you'd like to know which of the following correctly describes its weight on Earth. The answer is: - More than 8 pounds

Here's a step-by-step explanation:

1. Weight is dependent on the gravitational force acting upon an object.

2. The Moon's gravity is about 1/6th (16.7%) that of Earth's gravity.

3. To find the object's weight on Earth, we need to account for the difference in gravity.

4. Since the object weighs 8 pounds on the Moon, we can represent its weight on Earth as 8 pounds / 0.167 (the Moon's gravity as a fraction of Earth's gravity).

5. When we perform this calculation, we get approximately 48 pounds as the object's weight on Earth.

So, an object weighing 8 pounds on the Moon will weigh more than 8 pounds on Earth, specifically about 48 pounds.

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The values and obtain the rotational inertia for the hollow spherical ornament about the pivot at the tree limb.  the rotational inertia for the hollow spherical ornament about the pivot at the tree limb is 0.00015075 kg m2.

Since the ornament is not hanging from its center of mass, the pivot point is not at the axis of rotation. The parallel axis theorem states that the rotational inertia about an axis parallel to and a distance d from the center of mass is equal to the rotational inertia about the center of mass plus the product of the mass and the square of the distance d.
In this case, the distance from the center of mass to the pivot point is the radius of the sphere, which is 5.5 cm. Therefore, the rotational inertia for the hollow spherical ornament about the pivot at the tree limb is:
I = 23 MR2 + md2
where M is the mass of the sphere, R is the radius of the sphere, and d is the distance from the center of mass to the pivot point.
Plugging in the given values, we get:
I = 23 (0.015 kg) (0.055 m)2 + (0.015 kg) (0.055 m)2
I = 0.00015075 kg m2


A hollow sphere ornament with a mass (M) of 15 grams and radius (R) of 5.5 cm is hung from a tree limb, and when displaced, it acts as a physical pendulum. To find the rotational inertia (I) of the ornament about the pivot at the tree limb, we will use the parallel axis theorem.
The parallel axis theorem states that the rotational inertia about any axis parallel to and a distance (D) away from the axis through the center of mass is given by:
I = I_cm + MD^2
The rotational inertia for a hollow sphere about its center of mass (I_cm) is given as (2/3)MR^2. In this case, I_cm = (2/3)(15 g)(5.5 cm)^2.
Since the ornament is hung by a small loop of wire attached to its surface, the distance (D) from the pivot to the center of mass is equal to the radius, which is 5.5 cm.
Now we can calculate the rotational inertia (I) about the pivot at the tree limb:
I = I_cm + MD^2
I = (2/3)(15 g)(5.5 cm)^2 + (15 g)(5.5 cm)^2

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The required force is calculated to be 0.5 N, work is 10 J and power is 0.074 Watt.

The mass of the book is given as 1 kg.

The acceleration of the book is given as 0.5 m/s².

The distance moved by the book is given as 20 m.

The time taken to move the book is given as 2 1/4 minutes = 9/4 minutes.

The force applied on the book is given as,

F = m a = 1 × 0.5 = 0.5 N

where,

F is force

m is mass

a is acceleration

The expression for work is known to be,

W = F . s = 0.5 × 20 = 10 J

where,

W is work

s is distance

The relation for power is known to be,

P = W/t = 10/(9/4 × 60) = 0.074 Watt

where,

P is power

t is time

Thus, the force is 0.5 N, work is 10 J and power is 0.074 Watt.

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Answer:

64 ohms =R

Explanation:

R is directly proportional to V

R is inversely proportional to I(Current

Answer:

I think its dense and solid and located near a star.

Explanation:

Hope this helps, good luck.

     Mach number is "the ratio of the speed of a body to the speed of sound in the surrounding medium" (Oxford Languages). Put simply, it's a ratio comparing the local flow velocity to the speed of sound in the medium.

     It is represented with the following formula. M is the mach number, u is the local flow velocity, and c is the speed of the sound in the medium.

                  \(\boxed{\displaystyle M=\frac{u}{c} }\)

Answer:

When a body moves along a straight line with uniform speed or steady speed is called Uniform motion. When a body moves along a straight line but with variable or change in speed is called non-uniform motion.Hope this answer helps.

Answer:

. When a body moves along a straight line with uniform speed or steady speed is called Uniform motion. When a body moves along a straight line but with variable or change in speed is called non-uniform motion

Answer:

A mousetrap makes use of a simple machine called a lever.

Explanation:

In a second-class lever the effort force is at the other end, with the load in the middle. In a third-class lever, the load is at the end and the effort force is between the fulcrum and the load. When you set the mousetrap, you are using a second-class lever. Sorry if I get this wrong. I am in 5th grade! ♥

The intensity of the sound wave at a fixed distance from the speaker vibrating at 2.57 kHz and maintaining a constant displacement amplitude is 2.25 W/m².

The intensity of a sound wave is directly proportional to the square of its frequency. Therefore, if the frequency of the speaker increases from 1.4 kHz to 2.57 kHz while maintaining a constant displacement amplitude, the intensity of the sound wave will increase by a factor of (2.57 kHz / 1.4 kHz)² = 3.29.

Thus, the new intensity of the sound wave will be 3.29 times the original intensity of 0.683 W/m², which gives us:

New intensity = 3.29 x 0.683 W/m² = 2.25 W/m²

Therefore, the intensity of the sound wave at a fixed distance from the speaker vibrating at 2.57 kHz and maintaining a constant displacement amplitude is 2.25 W/m².

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Answer:

Both are chemical change as the new product is formed with new characteristics and can't be brought back to previous form.

Answer:

Explanation:

Let the potential difference between the middle point and one of the plate be ΔV .

electric potential energy will be lost and it will be converted into kinetic energy .

Electrical potential energy lost = Vq , where q is charge on charge particle .

For proton

ΔV× q = 1/2 M V² ( kinetic energy of proton )

where M is mass and V be final velocity of proton .

For electron

ΔV× q = 1/2 m v² ( kinetic energy of electron  )

where m is mass and v be final velocity of electron . Charges on proton and electron are same in magnitude .

As LHS of both the equation are same , RHS will also be same . That means the kinetic energy of both proton and electron will be same

1/2 M V² =  1/2 m v²

(V / v )² = ( m / M )

(V / v ) = √ ( m / M )

In other words , their velocities  are  inversely proportional to square root of their masses .

The distance at which the crane lift a crate is 0.0781 m.

Distnace is the lenght between two points.

To determine the distance the crane can lift the crate, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance is 0.0781 m.

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Answer:

451.13 J/kg.°C

Explanation:

Applying,

Q = cm(t₂-t₁)............... Equation 1

Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.

Make c the subject of the equation

c = Q/m(t₂-t₁).............. Equation 2

From the question,

Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C

Substitute these values into equation 2

c = 1500/[0.133(45-20)]

c = 1500/(0.133×25)

c = 1500/3.325

c = 451.13 J/kg.°C

The “sum of forces” acting on a cart can be explained as the net force or resultant force acting on it. This term refers to the total amount of force acting on an object, considering both the direction and magnitude. The cart's acceleration is influenced by this force, which is critical in the laws of physics.

The following is a description of the “sum of forces” acting on a cart: The sum of forces can be calculated using the formula F = ma, where F is the force acting on the cart, m is the mass of the cart, and a is the acceleration produced by the force. If there is more than one force acting on the cart, it is necessary to calculate the net force, which is the sum of all the forces acting on the cart.
The sum of forces can be split into two components: internal and external forces. Internal forces are those generated within the object, whereas external forces are exerted by other objects. The frictional force between the wheels of the cart and the surface is an example of an internal force acting on the cart.
The gravitational force exerted by the Earth is an example of an external force acting on the cart. If there are more than two forces acting on the cart, vector addition must be used to determine the net force.
The sum of forces acting on the cart is critical in the laws of physics. If the sum of forces acting on the cart is zero, it implies that there is no net force acting on it, and it is either stationary or moving at a constant velocity. If the sum of forces is nonzero, it implies that there is a net force acting on the cart, and it is either accelerating or decelerating.

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The kinetic energy of a 75 kg skater is 600 Joule.

energy energy is a shape of strength that an item or a particle has by using the cause of its movement. If work, which transfers electricity, is completed on an item by applying a net force, the object hurries up and thereby gains kinetic strength. the kinetic strength of an object is the electricity that it possesses because of its motion. it's far defined as the work needed to accelerate a frame of a given mass from relaxation to its said velocity. Having received this strength during its acceleration, the body continues this kinetic electricity unless its speed.

Kinetic energy = 1/2 mV²

                        = 1/2 *75 * 4²

                      = 1/2 * 75 * 4 * 4

                     = 600 Joule.

Disclaimer: your question is incomplete, please see below for the complete question.

How much kinetic energy does the 75 kg skater have at 4 m/s?

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To launch a 60 kg human at the given speed, the spring constant needed is 1500 N/m.

This is the proportion of a spring's extension to the force applied to it. Utilizing the energy conservation principle, the spring's spring constant is determined. The human will transform the elastic potential energy of the spring into kinetic energy in order to launch at the desired speed.

U = K.E

¹/₂kx² = ¹/₂mv²

k = mv²/x²

where;

m is mass of the human

v is the speed of the cannon

x is the extension of the spring

k is the spring constant

Substitute the given parameters and solve for the spring constant.

k = (60x 15²) / (3²)

k = 1500 N/m

A spring constant of  1500 N/m is need to maintain the law of conservation of energy, from elastic potential energy of the spring to kinetic energy of the human,

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The complete question is -

In order To launch a 60 kg human so that he leaves a cannon moving at a speed of 15 m/s, you need a spring with an appropriate spring constant. This spring will be compressed 3.0 m from its natural length to launch the person. The cannon oriented at an angle of 37⁰ above the horizontal?

a) Which spring constant should the spring have so that the cannon functions as desired?

The total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.

To find the total resistance and total current in the given circuit, let's break down the steps:

1. Delta to Wye Transformation:

  - Identify the resistors in the delta configuration: 200Ω, 40Ω, and 120Ω.

  - Apply the delta to wye transformation to convert the resistors into a wye configuration:

    - R₁ = (Rb * Rc) / (Ra + Rb + Rc) = (40 * 120) / (200 + 40 + 120) = 16Ω

    - R₂ = (Ra * Rc) / (Ra + Rb + Rc) = (200 * 120) / (200 + 40 + 120) = 96Ω

    - R₃ = (Ra * Rb) / (Ra + Rb + Rc) = (200 * 40) / (200 + 40 + 120) = 32Ω

  - Replace the delta configuration with the wye configuration using the calculated values: R₁ = 16Ω, R₂ = 96Ω, R₃ = 32Ω.

2. Total Resistance Calculation:

  - The total resistance (RT) in the circuit is the sum of the individual resistances:

    - RT = R₁ + R₂ + R₃ = 16Ω + 96Ω + 32Ω = 144Ω.

3. Total Current Calculation:

  - The total current (I) can be calculated using Ohm's Law: I = V / RT, where V is the voltage across the circuit.

  - Given that the voltage (V) is 100V, the total current (I) is: I = 100V / 144Ω = 0.694A.

Therefore, the total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.

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Answer:

14.3 x 10^8Hz

Explanation:

Using

Frequency= speed of light /wavelength

Then substituting

3*10^8m/s / 0.21m

= 14.3 x10^8 Hz