2 forces are acting on a body. I forgot the body doesn't it's position or shape, the forces.......a)must be of equal magnitude b)must be parallel and opposite c)must add upto zero d)must be in a single line​

Given that,

The earth's moon has a gravitational field strength of about 1.6 n/kg

Mass of Moon, \(M=7.35\times 10^{22}\ kg\)

To find,

The radius of the Moon.

Solution,

The formula for the acceleration due to gravity is given by :

\(g=\dfrac{GM}{r^2}\)

r is radius of the Moon

\(r=\sqrt{\dfrac{GM}{g}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{1.6}} \\\\r=1750437.44\ m\\\\r=1.75\times 10^6\ m\)

So, the radius of the Moon is \(1.75\times 10^6\ m\).

The velocity of the red ball after the collision is m/s is  11. 125 m/s

The conservation of momentum states that, inside some hassle domain, the quantity of momentum stays regular; momentum is neither created nor destroyed, but handiest modified thru the action of forces as defined via Newton's legal guidelines of motion.

Calculation:-

Given,

M =  0.5-kg

V i = 10 m/s

M₂ =  0.4 kg

V i  = 0

V f = 1.1 m/s

V f = ?

M₁V₁ + M₂V₂ = V f M₁ + V f M₂

 = 0.5 × 10 + 0.4 ×0  = 1.1 × 0.5 + V f × 0.4

= 5 = 0.55 + 0.4 V f

V f = 5 -  0.55/0.4

    = 4.45 / 0.4

   = 11. 125 m/s

The law of conservation of momentum states that in an isolated machine the whole momentum of two or extra our bodies performing upon each different remains regular unless an outside pressure is applied. therefore, momentum can neither be created nor destroyed.

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Answer:

320N

Explanation:

The magnitude of the torque required is expressed using the formula;

T = Fr sin theta where;

F is the force

r is the radius = 9cm = 0.09m

theta is the angle of inclination = 8 degrees

Torque T = 4Nm

Substitute the given values and get F

4 = F(0.09)sin8

4 = 0.0125F

F = 4/0.0125

F = 320N

Hence the magnitude of the force required when the force is applied at 8 degrees to the wrench is 320N

The tension in the strings are 31.47 and 19.25 N respectively.

Mass of the block, m = 3 kg

From the figure, consider the vertical components,

T₁ sin45° + T₂ sin30° = mg

(T₁/√2) + (T₂/2) = 3 x 9.8 = 29.4

Also, consider the horizontal components,

T₁ cos45° = T₂ cos30°

T₁/√2 = T₂ x√3/2

T₁ = T₂ x √3/2 x √2

So,

T₁ = 0.612T₂

Applying in the first equation,

(T₁/√2) + (T₂/2) = 29.4

(0.612T₂/1.414) + 0.5T₂ = 29.4

0.434 T₂ + 0.5 T₂ = 29.4

0.934 T₂ = 29.4

Therefore, the tension,

T₂ = 29.4/0.934

T₂ = 31.47 N

So, the tension,

T₁ = 0.612 T₂

T₁ = 0.612 x 31.47

T₁ = 19.25 N

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The distance the ball was thrown is 52.22m by A quarterback throws a pass at an angle of 35° above the horizontal with an initial speed of 25 m/s. The ball is caught by the receiver 2.55 seconds later.

Every motion under constant acceleration is projectile motion

Angle above horizontal Ф = 35°, initial speed v1 = 25m/s , time 2.55s

Substituting value in the below equation

x=x₁ + (v₁*cosθ)(t)+1/2 *a*t²

a= 0 as acceleration in horizontal direction is zero

x= 25*cos(35)*2.55

x=52.22 m

Projectile motion is a form of motion in which object influenced when it is launched into the gravitational force from the surface of Earth along a curved path.

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Answer:

we don't care what ure saying thats absurd

Proxima Centauri otherwise known as Alpha Centauri C, is the closest star to our solar system, located about 4.24 light-years away. It was discovered in 1915 by Robert Innes, the director of the Union Observatory in South Africa. Innes identified Proxima Centauri as a possible member of the Alpha Centauri system after noticing that the star had a similar proper motion to Alpha Centauri A and B.

Proxima Centauri was first observed through telescopes, which allowed scientists to study the star's spectra and estimate its distance from Earth. In the following decades, scientists continued to study Proxima Centauri through telescopes, including the Hubble Space Telescope, which provided high-resolution images of the star.

In 2016, the European Southern Observatory announced the discovery of an exoplanet orbiting Proxima Centauri, called Proxima Centauri b. This discovery was made using the radial velocity method, which measures the star's small wobbles caused by the gravitational pull of an orbiting planet.

Despite the advances in our understanding of Proxima Centauri, no spacecraft have ever reached this star. The distance between Proxima Centauri and Earth is so vast that it would take tens of thousands of years to reach the star using current propulsion technology.

One potential solution to this problem is the use of interstellar travel, which would allow humans to travel to Proxima Centauri within a human lifetime. There are several proposed methods for interstellar travel, including using a starship propelled by fusion engines or a massive light sail pushed by a beam of lasers. However, these technologies are still in the theoretical stage and have not yet been developed.

There are also many other challenges that must be overcome in order for humans to travel to Proxima Centauri. For example, humans would need to find a way to protect themselves from the high levels of radiation that they would be exposed to during the journey. They would also need to find a way to provide enough food, water, and other resources to sustain themselves for the duration of the trip.

Overall, while it is theoretically possible for humans to travel to Proxima Centauri, it would be a massive undertaking that would require significant technological advancements and the development of new solutions to many challenges.

Sources of Works Cited include:

"Proxima Centauri." Wikipedia, Wikimedia Foundation, 5 Jan. 2021,

"Proxima Centauri b." Wikipedia, Wikimedia Foundation, 20 Nov. 2020,

"Interstellar Travel." Wikipedia, Wikimedia Foundation, 4 Jan. 2021,

Therefore, the correct answer is as given above

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The area of Mrs. Turner's apartment is approximately 0.05304 square feet.

To find the area of Mrs. Turner's apartment, we need to convert the measurements from the scale drawing to the actual measurements in feet, using the given scale factor of 1 inch/18 feet.

Length of apartment in feet = 6.25 inches × (1 foot/18 inches) = 0.34722 feet

Width of apartment in feet = 2.75 inches × (1 foot/18 inches) = 0.15278 feet

Now, we can calculate the area of the apartment in square feet by multiplying the length and width:

Area of apartment in square feet = Length × Width = 0.34722 feet × 0.15278 feet = 0.05304 square feet

Therefore, the area of Mrs. Turner's apartment is approximately 0.05304 square feet.

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Answer:

distance travelled= 12 x 3=36 m

rtdgsehrtejffej0.345

First, calculate the weight

Weigth = mass x gravity = 50 kg x 9.8 m/s^2 = 490 Newton

Then, the work

Work = Weight x height = 490 N x 6m

finally, calculate the power:

Power = Work / time = (490N x 6m) / 15s

Power = 196 newton * m /s

Power = 190 watts

In an exothermic reaction, more energy will be liberated from the old substance than the new substance will liberate to form its chemical bonds. Therefore, option B is correct.

An exothermic process can be described as a thermodynamic reaction that emits energy from the system to the surrounding in the form of heat, light, or sound.

In chemical reactions, the bond energy is converted into thermal energy. In exothermic reactions, the reaction takes place in the form of the kinetic energy of molecules. The electronic transition of electrons from one energy level to another leads light to be released.

The energy of the reactants is more than the energy of the products in the exothermic reaction. The energy liberated by reactants will be more than the energy required for the new bonds to be formed in the products.

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If a wave has an amplitude of 0.0800 m and is moving 7.33 m/s. The

wavelength of the wave is 1.69m.

The wavelength of a wave can be determined using the equation:

Wavelength = velocity / frequency

To determine the frequency we need to calculate the reciprocal of the time it takes for one complete oscillation.

frequency = 1 / time

frequency = 1 / 0.230

frequency ≈ 4.35 Hz

Substitute the values into the wavelength equation:

wavelength = velocity / frequency

wavelength = 7.33 / 4.35

wavelength ≈ 1.69m

Therefore the wavelength of the wave is approximately 1.69 meters.

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When the particle reaches its maximum positive x coordinate, the displacement is 11.62m.

The rate at which speed of velocity change over time is referred to as acceleration. When a point and object speeds or decelerates, it is moving straight ahead. Motion on a circular accelerates even while the speed is constant so because orientation is constantly changing.

The particle's displacement is computed as follows;

v² = u² + 2as

where;

a is acceleration

a = √(3² - 2²)

= 2.23 m/s²

0 = u² + 2as

s = -u²/2a

s = -(7.2²)/(2 x 2.23)

s = -11.62 m

When the particle reaches its maximum positive x coordinate, the displacement is 11.62m.

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Answer:

20 hz - 20khz is the audible sound wave for humans

Almost 18Hz is an audible limit of the sound wave.

A ripcord system pulls a closing pin, which releases a spring-loaded pilot chute, and opens the container; from which the parachute comes out.

If a skydiver is unable to open her/his parachute, an automatic activation device will automatically open the parachute.

A parachute works by forcing air into the front of it and creating a structured 'wing' under which the canopy pilot can fly. Parachutes are controlled by pulling down on steering lines which change the shape of the wing, cause it to turn, or to increase or decrease its rate of descent.

The initial velocity of the cart.

Newton, There can be a mass is four.080, So acceleration might be equal to 2.50 m in step with cent within the rectangular. Initial is that amount that relies upon total mass. The greater mass the more inertia. So Mass is 2000 kg and acceleration is 3 ms square. So this offers us an internet pressure identical to 6000 newtons or 6.0 and 210 to the power

In case you roll a ball, it initially will keep rolling except friction or something else stops it by means of pressure. you could also think about the way that your body maintains transferring ahead when you hit the brake on your bike. Translational Inertia = ma, in which m is the mass, and a is the acceleration of the object. Calculate the rotational inertia or the instant of inertia velocity by way of multiplying the mass of the object with a square of the gap between the item and the axis, the radius of rotation.

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Answer:

Explanation:

the answer is b

Answer:

No

Explanation:

because there is no pressure

Answer:

35.625° C

Explanation:

See attachment

a) Final temperature is 35.625° C

b) 0°

Answer:

Individual H2O molecules are V-shaped, consisting of two hydrogen atoms (depicted in white) attached to the sides of a single oxygen atom (depicted in red). Neighboring H2O molecules interact transiently by way of hydrogen bonds (depicted as blue and white ovals).

The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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The stone will be moving at a speed of approximately 84.4 meters per second just before it hits the ground, neglecting friction.

This problem can be solved using the laws of kinematics and conservation of energy. The potential energy of the stone at the top of the cliff is converted to kinetic energy as it falls. We can equate the potential energy at the top of the cliff to the kinetic energy just before hitting the ground.

Potential energy = mgh,

Where

Kinetic energy = (1/2)mv^2,

Where

Equating these two expressions and solving for v, we get:

mgh = (1/2)mv^2

v^2 = 2gh

v = sqrt(2gh)

Plugging in the given values, we get:

v = sqrt(2 x 9.8 m/s^2 x 360 m) = 84.4 m/s

Therefore, the stone will be moving at a speed of approximately 84.4 meters per second just before it hits the ground, neglecting friction.

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It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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Given:

The time duration for which the club was in contact with the ball, t=0.0052 s

The mass of the ball, m=55 g=55×10⁻³ kg

The initial speed of the ball, u=0 m/s

The final speed with which the ball leaves the club, v=1.6×10² ft/s=48.77 m/s

To find:

The force exerted on the ball, F.

Explanation:

The acceleration of an object is the time rate of change of velocity.

Thus the acceleration of the ball is given by,

On substituting the known values,

From Newton's second law of motion,

On substituting the known values,

Final answer:

Thus the average force exerted on the ball is 515.8 N

Answer: 30,000 kg m/

Explanation: Therefore p=1500*20 = 30,000 kg m/s.

Answer: 54.8

Explanation:

The centripetal force on the rock moving along the string is 104.66 N.

The given parameters;

The centripetal acceleration of the rock is calculated as follows;

\(\omega _f^2 = \omega _i^2 + 2\alpha (\theta)\\\\(100 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s} )^2 = 0 + 2\alpha (30 ^0 \times \frac{\pi \ rad}{180^0} )\\\\109.69 = 1.048\alpha \\\\\alpha = \frac{109.69}{1.048} \\\\\alpha =104.66 \ rad/s^2\)

\(a_c = \alpha \times r\\\\a_c = 104.66 \times 1 = 104.66 \ m/s^2\)

The centripetal force on the rock is calculated as follows;

\(F_c = ma_c\)

\(F_c = 104.66 \times 1\\\\F_c = 104.66 \ N\)

Thus, the centripetal force on the rock moving along the string is 104.66 N.

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