A large box is being pushed by three separate people. The first person is pushing the box at a rate of 6 m/s directly north. The second person is pushing the box at a rate of 6 m/s directly to the northeast. The third person is pushing the box at a rate of 6 m/s directly east. Determine the magnitude and direct of the resultant vector of he box.

The formula for calculating the momentum of a moving object is P = mv, where P is momentum, m is mass, and v is velocity. Momentum is a vector, having both magnitude and direction, and is measured in kg m/s. A larger or faster-moving object will have greater momentum.

The momentum of a moving object, including a car, can indeed be calculated by multiplying the mass of the object by its velocity, as encapsulated in the formula P = mv, where P represents momentum, m represents mass, and v represents velocity. Momentum is a vector quantity, meaning it has both magnitude and direction.

As such, if a car's velocity is in a negative direction (i.e., opposite to the direction of motion), its momentum will also be in a negative direction. Conversely, if the car's velocity is positive, its momentum will also be positive. The SI unit for momentum is kg m/s.

To illustrate this concept, consider a car of mass 1400 kg moving at a speed of 15 m/s. The momentum of this car would be calculated as 1400 kg * 15 m/s = 21000 kg m/s. This example demonstrates that a larger, faster-moving object will have greater momentum than a smaller, slower-moving object.

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The maximum height is approximately 602.878 feet, and the range is approximately 1,204.755 feet, rounded to three decimal places.

Certainly, let's calculate the maximum height and range of the projectile.

Given:

Initial height (h₀) = 4 feet

Initial velocity (v₀) = 600 ft/s

Launch angle (θ) = 45 degrees

Acceleration due to gravity (g) = 32 ft/s² (assuming downward as positive)

Vertical Motion:

h = h₀ + v₀ sin(θ) t - 1/2 gt²

At the maximum height, v_y = 0:

v_y = v₀ sin(θ) - gt = 0

Solving for t, we get the time of flight. Once we have t, we can substitute it back into the vertical motion equation to find the maximum height (h).

t = v₀ sin(θ) / g

h = h₀ + v₀² sin²(θ) / (2g)

Horizontal Motion:

R = v₀ cos(θ) * time of flight

R = v₀ cos(θ) * v₀ sin(θ) / g

Now, let's perform the calculations:

t = 600 sin(45°) / 32

t ≈ 5.774 seconds

h = 4 + 600² sin²(45°) / (2 * 32)

h ≈ 602.878 feet

R = 600 cos(45°) * 5.774

R ≈ 1,204.755 feet

The acceleration produced by a net force on a body is inversely proportional to the mass of the body is true.

A net force acting on an object causes it to accelerate, which would be inversely proportional to such mass of the object and therefore directly proportional to the force's size as well as direction.

A physical body's mass would be the total amount of matter it contains. Inertia, or the body's susceptibility to acceleration when a net force would be applied, is another property that may be measured.

It is known that F = ma, hence the acceleration produced by a net force on a body is inversely proportional to the mass of the body.

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Answer:

A) Mechanical energy

Explanation:

I got it right on Edge 2022

The best way to avoid overloading your boat is to ensure that the total weight does not exceed the recommended capacity. Distribute the weight evenly and keep the center of gravity low. Follow safe boating practices and prioritize everyone's safety.

The best way to avoid overloading your boat is to ensure that the total weight of the boat, including passengers and cargo, does not exceed the maximum recommended weight capacity. This can be determined by checking the boat's capacity plate or consulting the manufacturer's specifications. It is also important to distribute the weight evenly throughout the boat, keeping the center of gravity low to maintain stability. Finally, always follow safe boating practices and avoid overloading your boat to prevent accidents and ensure everyone's safety.

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the answer is condensation

Answer: Wind power plant

Explanation:

A renewable resource is the one which can be replenished due to natural cycle like water, sunlight, forests and wind. The renewable resources are abundantly available in nature.

A old coal burning plant can be replaced by the wind power plant. This is because of the fact that wind power can produce comparably the same amount of electrical energy as that of electrical energy generated by coal burning plant.  

The advantages of using the wind power plant.

1. Wind is available at all regions of the world, the wind resource will not deplete in future.

2. Large amount of energy can be produced on a large scale.

The disadvantages of using the wind power plant.

1. Requires a large open space to construct a wind power plant.

2. The energy cannot be harnessed in bad weather conditions such as rainfall.

We are given that: 
Speed of sound in air = 343.06 m/s and frequency f = 349.23Hz. 
Calculating for wavelength using the formula:

Wavelength λ = c / f

wavelength λ = 343.06 / 349.23 = 0.98233 m = 98.233 cm

Answer : Electric potential, [tex]V=1.8\times 10^0\ V[/tex]

Explanation :

It is given that,

Magnitude of electric field, [tex]E=875\ N/C[/tex]

Distance between two plates, [tex]d=0.002\ m[/tex]

The relation between the electric field and the electric potential is given by :

[tex]E=\dfrac{V}{d}[/tex]

[tex]V=E\times d[/tex]

[tex]V= 875\ N/C\times 0.002\ m[/tex]

[tex]V=1.75\ V[/tex]

or

[tex]V=1.8\times 10^0\ V[/tex]

So, the magnitude of electric potential is given by option (2).

Hence, this is the required solution.                                                                                                

It is the last 3.

the temperature of the medium

the type of wave

the type of medium

The hypothesis about the effect of increasing the total mass of the carts on the final velocity after an inelastic collision will be as follows;

"If the total mass of two colliding carts is increased then the final velocity of the carts drops, because mass and velocity define momentum and momentum is preserved during an inelastic collision".

Explanation:

In an inelastic collision, the two objects stick on each other and move with a common velocity.

If m₁ and m₂ are the mass of two objects. They are moving with initial velocities u₁ and u₂. Let V be the final velocity of both objects.

Using conservation of momentum as :

[tex]m_1u_1+m_2u_2=(m_1+m_2)V[/tex]

[tex]V=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}[/tex]

If the mass of the colliding objects increases then the velocity decreases because there is an inverse relationship between the mass and the velocity.

Answer: Move away.

Explanation:

We know that like charges repel each other and unlike charges attract each other. So, when two negatively charged particles are brought close together and then released, they move away from each other because of their similar charge and hence, they repel each other. The electrostatic force of repulsion acts between the two similar charged particles.

The speed of an average oxygen molecule in a room can be estimated using the root-mean-square velocity formula, which indicates that at a room temperature of 300 K, the average speed of oxygen molecules is a few hundred meters per second.

To estimate the speed of an average oxygen molecule in the room at room temperature, we use the concept of root-mean-square (rms) velocity, which is derived from the kinetic theory of gases. At a temperature of about 300 K (room temperature), the kinetic energy of all gas molecules is the same, meaning that lighter molecules move faster than heavier ones. While the molar mass of oxygen is 32.0 g/mol, nitrogen, which composes the majority of air, has a molar mass of 28.02 g/mol. Thus, at the same temperature, oxygen molecules will move more slowly on average than nitrogen molecules.

For oxygen at 300 K, the average speed can be found using the root-mean-square velocity formula: v_rms = \sqrt{(3kT/m)}, where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of a single oxygen molecule. Since the ratio of the molar masses of oxygen and nitrogen is 16.00 to 14.01 and knowing that nitrogen molecules are lighter, they will have a higher average speed compared to oxygen molecules at the same temperature. By using the rms velocity equation, one can calculate that oxygen molecules have an average speed of a few hundred meters per second at room temperature.

The initial speed of the football can be determined using the equations from projectile motion, considering the horizontal distance of the throw and the angle at which the ball is thrown.

The question is asking to determine the initial speed of the football when thrown by the quarterback. This is a projectile motion question and it involves two dimensions. Given that the quarterback is throwing the ball at an angle of 25.0 degrees and the ball lands at the same height, we can find the initial speed using the horizontal distance of the throw (20.0 m) and the equation for horizontal displacement in projectile motion: x = V0 * t * cos(θ).

Here, we do not have the throwing time (t), and hence, we use another equation from projectile motion where time (t) = [2 * V0 * sin(θ)] / g; where g is the gravity. Substituting this time (t) in the first equation, and solving for V0, we will get the initial speed of the thrown football.

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This question involves the concept of charge.

The magnitude of the charge on the sphere is "9.728 x 10⁻⁷ C".

The magnitude of charge on the sphere can be given by the product of the number of excess electrons present on the sphere and the charge on the single electron. Mathematically,

q = ne

where,

Therefore,

q = (6.08 x 10¹²)(1.6 x 10⁻¹⁹ C)

q = 9.728 x 10⁻⁷ C

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Final answer:

To find the average velocity of any object, use the formula Vavg = (Vo + V) / 2 for constant acceleration or calculus methods for variable acceleration. Average velocity is a vector quantity that represents the total displacement per unit time and is directly proportional to displacement, highlighting its linear relationship.

Explanation:

To write an equation for average velocity that would work for finding the average velocity of any object, we need to understand that average velocity is a vector quantity defined as the total displacement divided by the total time taken for that displacement.

The formula for average velocity, Vavg, when acceleration is constant can be written as Vavg = (Vo + V) / 2, where Vo is the initial velocity and V is the final velocity. For variable acceleration, calculus is used to find the instantaneous velocity at any given point, which can be then integrated over a time interval to get the average velocity.

The relationship between displacement (x), average velocity (Vavg), and time (t) can be demonstrated by the linear equation x = xo + Vavg t, where xo represents initial position. This indicates that displacement is a linear function of average velocity.

Answer:

The guy above me is incorrect

Explanation:

He was the first to use scientific experiments to learn about atoms.

just confirming, all credits go to the other answer

final velocity = initial velocity + (acceleration x time) 
3.9 m/s = 0 m/s + (acceleration x 0.11 s) 
3.9 m/s / 0.11 s = acceleration 
30.45 m/s^2 = acceleration 

distance = (initial velocity x time) + 1/2(acceleration)(time^2) 
distance (0 m/s x 0.11 s) + 1/2(30.45 m/s^2)(0.11s ^2) 
distance = 0.18 m

Answer:

(a). The acceleration is  35.5 m/s².

(b). The distance is 0.214 m.

Explanation:

Given that,

Speed = 3.9 m/s

Time = 0.11 s

We need to calculate the acceleration

Using formula of acceleration

[tex]a = \dfrac{v_{f}-v_{i}}{t}[/tex]

Put the value into the formula

[tex]a =\dfrac{3.9-0}{0.11}[/tex]

[tex]a=35.5\ m/s^2[/tex]

We need to calculate the distance

Using equation of motion

[tex]s = ut+\dfrac{1}{2}at^2[/tex]

Put the value in the equation

[tex]s =0+\dfrac{1}{2}\times35.5\times(0.11)^2[/tex]

[tex]s=0.214\ m[/tex]

Hence, (a). The acceleration is  35.5 m/s².

(b). The distance is 0.214 m.

Answer:

Acceleration of ball (a) = 9.8 m/s^2 Speed (v) = 24.5 m/s Time (t) = Acceleration / Time = v / a = 24.5/9.8 = 2.5 s So it will take 2.5 seconds to reach that speed.

Explanation: