object a has mass 7 kg and initial momentum <20, -7, 0> kg·m/s, just before it strikes object b, which has mass 10 kg. just before the collision object b has initial momentum <2, 7, 0> kg·m/s.
What does the Momentum Principle predict that the total final momentum of the system will be, just after the collision?

Jupiter's volume is more than ten times as large as Saturn's volume. This statement is true. Jupiter is the largest planet in our solar system with a volume of about 1,431,281,810,739 km³ while Saturn is the second-largest planet with a volume of about 827,129,915,150 km³.

Jupiter is approximately 11 times larger than Saturn. The two planets belong to the gas giant category, and they share many similarities such as having a large number of moons. Jupiter is famous for its Great Red Spot and powerful magnetic field, while Saturn is well-known for its stunning ring system. Both planets have been the focus of scientific research and exploration, and they continue to fascinate scientists and stargazers alike. In conclusion, Jupiter's volume is more than ten times as large as Saturn's volume.

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We have that force forces on a plane we Resolve to the x plane and the y plane then we derive the corresponding result using the equation

From the question we are told

Generally the equation for the Net Force  is mathematically given as

\(R=\sqrt{(\sum fx)^2+(\sum fy)^2}\)

Therefore

For two forces

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The speed of the private jet and the commercial jet were 200mph and 400mph respectively.

The private jet flies the same distance in 10 hour that the commercial jet cover in 6 hours.

The speed of the commercial jet is 200mph less than 3 time of the speed of private jet.

Now, if we assume the speed of Private jet to be X mph then the speed of the commercial jet will be (3X - 200) mph.

If the distance cover is D, then, for the private jet,

D = 10X

For commercial jet,

D = (3X-200)6

Now, we can write,

10X = 18X - 1200

6X = 1200

X = 200 mph.

So, the speed of the private jet was 200mph and the speed of the commercial jet was 400mph.

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The equilibrium constant (Keeq) for a reaction at 25 °C can be calculated using the equation  Keeq = e^(−ΔG°/RT)

The equilibrium constant (Keeq) for a chemical reaction can be calculated using the equation Keeq = e^(−ΔG°/RT), where ΔG° represents the standard free-energy change, R is the gas constant, and T is the temperature in Kelvin.

In this case, the given standard free-energy change is −12.50 kJ mol−1 (−2.988 kcal mol−1). To calculate the equilibrium constant at 25 °C, we need to convert the temperature to Kelvin by adding 273.15 (25 °C + 273.15 = 298.15 K). Then, we substitute the values into the equation to find the equilibrium constant.

Keeq = e^(−12.50 kJ mol−1 / (8.314 J K−1 mol−1 × 298.15 K))

By evaluating the expression, we can determine the equilibrium constant (Keeq) for the given reaction at 25 °C.

The relationship between standard free-energy change and equilibrium constant in chemical reactions to understand the thermodynamic aspects of chemical equilibria

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The following options are considered as means for influencing sales to match capacity Sales trimming .So option 1 is correct.

The correct option that would be considered a means for influencing sales to match capacity is:

Therefore option 1 is correct.

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The increase in length of the copper with original length of 120 m is  8.16×10⁻² m.

A change in length ΔL is produced when a force is applied to a wire or rod parallel to its length L0, either stretching it (a tension) or compressing it.

To calculate the increase in length of the copper, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer: Deforestation fires, Lowers the amount of oxygen in the atmosphere.

Explanation:

In a lot of places they will cut down trees with heavy machinery which produce a lot of gases such as Carbon Monoxide, now in little scale thats okay. However many places do it to such a scale that there is almost 200 forest fires a day. Each fire lowers the amount of trees but increases air pollution.  

The divers final speed before hitting the bottom is 14.0 m/s.

The time taken for the skydiver to fall from the given height affects the  final velocity  of the diver and it is calculated by using the following kinematic equation.

v² = u² + 2gh

where;

Substitute the given parameters and solve for the final velocity.

v² = 0 + 2gh

v = √2gh

v = √(2 x 9.8 x 10)

v = 14.0 m/s

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Answer:

F

Explanation:

F is not a molecule, a molecule contains two or more cells. But F stands for fluorine, which I think is a singular cell.

Answer:

1.Benefits of Renewable Energy Use

Less global warming.

Improved public health.

Inexhaustible energy.

Jobs and other economic benefits.

Stable energy prices.

2.Hydroelectric generation at scale dates back more than a century, and is still our largest renewable source – excluding traditional biomass, it still accounts for more than 60% of renewable generation

3.Biomass can be burned to create heat (direct), converted into electricity (direct), or processed into biofuel (indirect). Biomass can be burned by thermal conversion and used for energy

Hello,

Average speed is total distance divided by total time. From the problem, our total distance is given as 500 kilometers and given time is 5 hours. Therefore, the average speed is:

\(\displaystyle{v_\text{average}=\sum_{i=1}^n \dfrac{s_i}{t_i}}\\\\\displaystyle{v=\dfrac{500\ \text{km}}{5 \ \text{h}}}\\\\\displaystyle{v=100 \ \text{km/h}}\)

Therefore, the average speed is 100 km/h. Please let me know if you have any questions!

The intensity of sound is inversely proportional to the square of the distance from the source. The intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

The intensity of sound is defined as the power per unit area. According to the inverse square law for sound propagation, the intensity of sound is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as

\(I=P/(4\pi r^{2})\)

where I is the intensity, P is the power, and r is the distance from the source.

Given that the power of sound at the source outlet is 100 W and the distance from the source is 4 m, we can substitute these values into the formula. Thus, we have

\(I = 100 W / (4\pi (4 m)^2)\)

Simplifying this expression, we find that the intensity of sound at 4 m away from the source is approximately \(0.993W/m^{2}\) (watts per square meter).

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Answer:

the benefit is that they can see and experiment on the model but some times the model isn't accurate resulting in immediate failure

im only 13 sorry if this is wrong i tried.

Answer:

Football

Power

Jamm

Steady

Kick

An example of a solid that sunlines is a billboard.

A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements

So therefore, an example of a solid that sunlines is a billboard

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This was kinda hard thinking it might be that the new force is going to 4 times bigger than the original one.

Force is the physical action that can give acceleration to a body upon which it is applied

The true statements about the forces and accelerations of each when they collide are;

The reasons why the above statements are true are given as follows:

Known:

Mass of the truck, m₁ = 5,000 kg

Mass of the car, m₂ = 1,000 kg

Velocity of the truck = \(v_t\)

Velocity of the car = \(v_c\)

According to Newton's third law of motion, action and reaction are equal and opposite

Force, F = Mass, m × Acceleration, a

Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;

F = 5,000 × a₁ = 1,000 × a₂

\(a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1\)

Therefore;

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Answer:

yes nucleus is found in plant and animal cells.

Hope this helps :)

Given, speed of light = 1.86 x 10^5 miles per second, Time taken by light to reach Saturn from the Sun = 4.8 x 10^3 seconds. Let the distance between the Sun and Saturn be d miles. So we have the formula, Distance = speed × time.

Hence, d = speed of light × time taken by light to reach Saturn from the Sun= 1.86 x 10^5 × 4.8 x 10^3 miles≈ 8.93 x 10^8 miles. Therefore, the distance between the Sun and Saturn is approximately 8.93 x 10^8 miles.

Let the distance between the Sun and Saturn be d miles. So we have the formula, Distance = speed × time. Hence, d = speed of light × time taken by light to reach Saturn from the Sun= 1.86 x 10^5 × 4.8 x 10^3 miles≈ 8.93 x 10^8 miles

The distance between the Sun and Saturn can be approximated using the formula, distance = speed x time. The speed of light is 1.86 x 10^5 miles per second and it takes light from the Sun about 4.8 x 10^3 seconds to reach Saturn. By substituting the values in the formula, we get the distance between the Sun and Saturn to be approximately 8.93 x 10^8 miles.

The distance between the Sun and Saturn is approximately 8.93 x 10^8 miles.

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The horizontal velocity of the ball is 3.76 m/s.

The horizontal velocity of the ball is calculated by applying the following equation as shown below;

X = Vₓt

where;

The time of motion of the ball from the table is calculated as follows;

t = √(2h/g)

where;

t = √(2 x 0.994 / 9.8)

t = 0.45 seconds

The horizontal velocity of the ball is calculated as;

Vₓ = X / t

Vₓ = 1.69 m / 0.45 s

Vₓ = 3.76 m/s

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The points nearest to the origin on the ellipse of intersection are (1, 1, 2) and (-1, -1, 2), while the farthest points are (3, 3, 18) and (-3, -3, 18).

To find the points on the ellipse of intersection that are nearest and farthest from the origin, we need to solve the system of equations formed by the plane equation and the paraboloid equation.

Substituting the expression for z from the paraboloid equation into the plane equation, we have xy2 - x²*y² = 30. This equation represents the ellipse of intersection.

To find the nearest and farthest points, we can minimize and maximize the distance from the origin, which is equivalent to minimizing and maximizing the square of the distance.

By considering the distance squared function D² = x²+ y² + z², we can substitute the expression for z from the paraboloid equation and rewrite D^2 in terms of x and y.

Minimizing D² is equivalent to minimizing x² + y². This occurs when x = ±1 and y = ±1, resulting in the nearest points (1, 1, 2) and (-1, -1, 2).

Maximizing D²is equivalent to maximizing x² + y². This occurs when x = ±3 and y = ±3, resulting in the farthest points (3, 3, 18) and (-3, -3, 18).

Therefore, the points nearest to the origin on the ellipse of intersection are (1, 1, 2) and (-1, -1, 2), while the farthest points are (3, 3, 18) and (-3, -3, 18).

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The mass of the rock with a kinetic energy of 113J and a speed of 6.2m/s is approximately 5.88 kilograms.

Kinetic energy is simply the energy a body possesses due to its motion;

It is expressed as;

K.E = 1/2 × m × v²

Given the data in the question;

To determine the mass of the rock, plug the given values into the Kinetic energy formular and solve for m.

K.E = 1/2 × m × v²

113kgm²/s² = 1/2 × m × ( 6.2m/s )²

113kgm²/s² = 1/2 × m × 38.44m²/s²

113kgm²/s² = m × 19.22m²/s²

m = 113kgm²/s² / 19.22m²/s²

m = 5.88kg

Therefore, the mass of the rock is 5.88 kilograms.

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Answer:

• From first newtons equation of linear motion:

\({ \boxed{v = u + at}}\)

• from that equation, let's get the relation for the change in velocity;

\((v - u) = at \\ { \boxed{ \boxed{\delta v = at}}}\)

• a is the acceleration, a = 0.3 m/s and t is time, t = 3s

\( \delta v = (0.3 \times 3) \\ { \underline{ \underline{ \delta v = 0.9 \: \: m {s}^{ - 1} }}}\)

Answer: A. 0.9 m/s

Answer:

See below

Explanation:

Vertical position = 45 +  20 sin (30) t  - 4.9 t^2

 when it hits ground this = 0

               0 = -4.9t^2 + 20 sin (30 ) t + 45

                0 = -4.9t^2 + 10 t +45 = 0     solve for t =4.22 sec

  max height is at  t= - b/2a = 10/9.8 =1.02

     use this value of 't' in the equation to calculate max height = 50.1 m

      it has  4.22 - 1.02 to free fall = 3.2 seconds free fall

           v = at = 9.81 * 3.2 = 31.39 m/s VERTICAL

      it will also still have horizontal velocity =  20 cos 30 = 17.32 m/s

        total velocity will be sqrt ( 31.39^2 + 17.32^2) = 35.85 m/s

Horizontal range = 20 cos 30  * t  =  20 *  cos 30  * 4.22 = 73.1 m

Answer:

i know it,s the ☁️ it looks like a crystal ball or a mini moon

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