2nd question please, no explanation. Trying to see if I was right

The resultant vector is middle line which is the longest line representing the single effect of the two vectors at both ends.

A resultant vector is defined as a single vector that produces the same effect as the two or more vectors combined together.

A resultant vector is usually, drawn to join the head of the first vector to the tail of the second in a triangle method of vector addition.

Also, a resultant vector can be determined by applying parallelogram law of vector addition.

Mathematically, a resultant vector can be determined using this formula,

R² = a² + b² - 2ab cosθ

where;

A resultant vector is always bigger than the two vectors acting together.

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ANSWER

EXPLANATION

Parameters given:

Mass of the car, m = 1800 kg

Radius of arc, r = 21.4 m

(a) First, let us make a free body sketch of the problem:

where N = force exerted by the road on the car

W = weight of the car

v = velocity of the car

First, let us convert the given velocity to meters per second:

The centripetal force acting on the car as it moves in the semi-circular arc is given by:

The total forces acting on the car is:

This implies that:

That is the force that the road exerts on the car.

(b) At the maximum speed, the car will start to lose contact with the road at N = 0:

Substitute the values of g and r to solve for maximum speed, vm:

In km/h, that is:

That is the maximum speed that the car can have.

Answer:

Halite

Explanation:

The square in Galileo’s equation means that for every given distance traveled by a falling body, the time taken is squared.

Galileo’s equation is an equation that states that the distance traveled by a falling body is directly proportional to the square of the time it takes to fall.

Mathematically, Galileo’s equation is given below:

∆x = ¹/₂ a * (∆t)²

where,

Galileo’s equation is used to calculate the distance traveled by a falling body under gravity for a given time.

It is also used to determine the time of fall from a given height.

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Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists: 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

Acceleration due to gravity exists as the acceleration gained by an object due to gravitational force.

Its SI unit exists m/s2. It contains both magnitude and direction.

The planet would be a space probe with a mass of 250Kg

The distance is 25m.

Mass does not affect the speed of falling objects, As there is only gravity acting on them.

The mass of Uranus exists m = 8.681 × 10²⁵kg

The radius of Uranus exists: 15,759.2 miles

Therefore, the correct answer is option D. Uranus

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Answer:

Velocity is a vector quantity, meaning it is dependent on both magnitude and direction of motion. It can be changed by

1. Changing its magnitude (i.e. speed)

2. Changing the direction of motion

3. Changing both magnitude and direction.

velocity can change the three ways are, It has the ability to change direction, speed up, or slow down.

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( a ) T = ( [tex]u_{y}[/tex] + √ [tex]u_{y}[/tex]² + 2 g H ) / g

T = Total time taken

g = Acceleration due to gravity

H = Height above the ground

u = 5 m / s

H = 1.9 m

g = 9.8 m / s²

[tex]u_{y}[/tex] = Y-component of initial velocity

θ = 90° ( Since she bounces straight up )

sin θ = [tex]u_{y}[/tex] / u

[tex]u_{y}[/tex] = 5 * sin 90°

[tex]u_{y}[/tex] = 5 m / s

T = ( 5 + √ 5² + ( 2 * 9.8 * 1.9 ) ) / 9.8

T = ( 5 + √ 62.24 ) / 9.8

T = 12.89 / 9.8

T = 1.32 s

( b ) v² = u² + 2 a s

v = Final velocity

u = Initial velocity

s = Displacement

Consider the y-components until the swimmer reaches the highest point of her motion,

[tex]v_{y}[/tex] = 0

a = - 9.8 m / s²

[tex]u_{y}[/tex] = 5 m / s

0 = 5² + ( 2 * - 9.8 * s )

19.6 s = 25

s = 1.28 m

Maximum height reached = 1.9 + 1.28

Maximum height reached = 3.18 m

( c ) V = √ [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²

V = Final velocity

[tex]V_{x}[/tex] = X-component of final velocity

[tex]V_{y}[/tex] = Y-component of final velocity

[tex]V_{x}[/tex] = [tex]U_{x}[/tex] ( Since there is no external force acting on x-direction )

cos θ = [tex]U_{x}[/tex] / u

[tex]U_{x}[/tex] = cos 90° * 5

[tex]U_{x}[/tex] = 0

[tex]V_{y}[/tex] = [tex]U_{y}[/tex] + a t

[tex]V_{y}[/tex] = 5 + ( - 9.8 * 1.32 )

[tex]V_{y}[/tex] = 5 - 12.94

[tex]V_{y}[/tex] = - 7.94 m / s

V = √ 0 + ( - 7.94 )²

V = √ 63.04

V = 7.94 m / s

Therefore,

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In the diagram the numbered parts are:

1. Muscle belly

2. Fascicle

3. Epimysium

4. Myofibril

5. Muscle fiber

6. Endomysium

7. single muscle fiber

8. H zone

9. Z disc

10. Sarcolemma

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The change in the speed of the object is constant with constant increment of 5 m/s.

The change in the speed of an object is the rate at which the distance covered by the object changes with time.

The change in the speed of the object at various time is calculated as follows;

at time, t = 0 second, change in speed (Δv) = 0

at time, t = 1 second, change in speed (Δv) = 5 m/s - 0 m/s = 5 m/s

at time, t = 2 seconds, change in speed (Δv) = 15 m/s - 5 m/s = 10 m/s

at time, t = 3 seconds, change in speed (Δv) = 30 m/s - 15 m/s = 15 m/s

at time, t = 4 seconds, change in speed (Δv) = 50 m/s - 30 m/s = 20 m/s

at time, t = 5 seconds, change in speed (Δv) = 75 m/s - 50 m/s = 25 m/s

Thus, we can conclude that, the data given in the table has time which increased gradually while the speed also increase gradually but with a constant increment.

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The value of the iguana’s northward displacement is 1 meter.

The velocity V of iguana is 10m/s.

The time for which iguana runs is 5 seconds.

The angle it is making with the north is 30°.

The velocity of iguana will have two components now,

One along east and one along north.

The component along east is Vcos(30°).

And the component along north is Vsin(30°).

The horizontal displacement of the iguana is,

Northward displacement = northward velocity × time.

The northward velocity is 10sin(30°).

Time is 5 seconds no matter where the iguana moves.

So,

Northwards displacement = 10sin(30°)/5

Northwards displacement = 10/10 = 1m

The displacement in north is 1 meter.

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Answer:

See below

Explanation:

Is that 600 WATT lamp ?   If so:

   power =  I V

      600 w   =  2 A   * v

       v = 300 v

Answer: The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.

Explanation: hope this helps.

Answer:

Pressure is defined as the force exerted on a surface divided by the area over which that force acts. Force is measured in units of Newtons (N), named after the famous scientist Isaac Newton. Area is typically measured in units of meters squared (m2).

If a man lifts a a 20-kg bucket from a well and does 6 kJ of work, the well will be 30.6 m deep.

W = m g h

W = Work

m = Mass

g = Acceleration due to gravity

h = Height

m = 20 kg

g = 9.8 m / s²

W = 6 KJ

W = 6000 J

h = W / m g

h = 6000 / 20 * 9.8

h = 30.6 m

W = m g h is derived from W = F * d. According to Newton's second law of motion, F = m a. Since the object is moving vertically upwards, a = g. Therefore, F = m g and hence W = m g h

Therefore, the well is 30.6 m deep

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Variables typically consist of space, time, and occasionally parts of momentum. The bicycle eventually travels at 13.8 m/s.

According to Newtonian mechanics, an object's mass and velocity are combined to form its linear momentum, translational momentum, or just momentum. As a vector quantity with both a magnitude and a direction, it has both. When an object's mass (m) and velocity (v), another vector quantity, are known, the object's momentum (p) is also known.

An object's mass, velocity, and direction are related by the concept of momentum. Force is produced whenever momentum changes. As a result, the force pushing against the object is identified by a change in momentum.

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The formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at

According to equations of motion,

v = u + at

v = Final velocity

u = Initial velocity

t = Time

a = Acceleration due to gravity

t = 3.2 s

a = 10 m / s²

v = 0 + ( 10 * 3.2 )

v = 32 m /s

Equations of motion are used to describe the position of a moving object in a constantly accelerated manner. The position can be described using acceleration, velocity, displacement and time.

Therefore, the formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at

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1.  When an object is moving away from us, the light from the object is known as redshift, and when an object is moving towards us, the light from the object is known as blueshift.

2.  A wavelength increases in size, and its frequency, and energy decrease.

3.  The frequency of a wave increases, and its wavelength decreases.

Redshift is an important term for astronomers. The term can be taken literally. The wavelengths of light are stretched and perceived as shifting toward the red portion of the spectrum. The same thing happens to sound waves when the source moves relative to the observer.

As the wave frequency decreases, the wavelength increases as long as the wave velocity remains constant. If the wave speed stays the same as the frequency decreases, it means that fewer wave peaks or troughs pass through a given point in a given time period. The number of complete wavelengths in a given unit of time is called frequency. Frequency and energy decrease with increasing wavelength.

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Answer: Convection

Explanation: in its simplest form is the transfer of heat through circulating air and liquids, this works inside of a hot air balloon by heating the inside of the air with a burner located at the bottom of the balloon, this then makes the air inside of the balloon less dense or lighter than the cooler air on the outside, causing the balloon to float upwards.

Metabolism is the chemical process by which your body breaks down the nutrients in foods to release energy for the cells in your body (Option 3).

The term Metabolism makes reference to all chemical reactions by which the body can obtain energy from foods by breaking them down into smaller elements. The breakdown of chemical bonds releases energy, which is used to generate Adenosine triphosphate, the energy coin of the cells.

Therefore, we can conclude that metabolism refers to the groups of pathways by which an organism breaks down nutrients such as proteins or carbohydrates in order to obtain energy for cells and perform diverse activities (e.g. growth, differentiation, etc)

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The tension in the rope and  the smallest value the angle θ can have if the rope is not to break

This is further explained below.

Generally, the equation for the tension  is mathematically given as

[tex]2 T sin \theta = m g[/tex]

Therefore

2*T*sin(11.1) = 87.6 * 9.81

T=2232 N

the tension in the rope is T=2232 N

b)

Generally, the equation for the angle is mathematically given as

[tex]2*2.55E4*sin \theta = 87.6*9.81[/tex]

Therefore

[tex]\theta = arcsin( \frac{87.6*9.81}{(2*2.55E4))}[/tex]

[tex]\theta=0.966 \textdegree[/tex]

In conclusion, The smallest value the angle θ can have if the rope is not to break is

[tex]\theta=0.966 \textdegree[/tex]

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From the information given, the forces are

F1 = −78i + 44j

F2 = 87i + 80j

We would apply the dot product.

F1F2 = <- 78, 44> * <87i, 80j>

F1F2 = - 78(87) + 44(80) = - 6786 + 3520

F1F2 = - 3266

|F1| = √[(- 78)^2 + 44^2] = √8020

|F2| = √[87^2 + 80^2] = √13969

The angle between them is

θ = Cos^-1[F1F2/(|F1||F2|)

θ = Cos^-1(- 3266/√8020 * √13969

θ = Cos^-1(- 0.30856)

θ = 108 degrees

the angle between the cables is 108 degrees

Given

v = 343 m/s

ac = 5g

ac = 5*9.8 m/s^2

ac = 49 m/s^2

where,

v: velocity

ac = centripetal aceleration

Procedure

We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration ac; centripetal means “toward the center” or “center seeking”.

Formula

The minimum radius not to exceed the centripetal acceleration is 2401 m.

By the speed of 117.6 m/s you falling after 12.0 seconds.

Free fall formula,

v = -gt

v = velocity of free fall

g = acceleration due to gravity, Given = 9.8 m/[tex]s^{2}[/tex]

t = time, Given = 12s

Put these values in formula, v = -gt

v = - 12 × 9.8

v = 117.6 m/s.

Hence, by the speed of 117.6 m/s you falling after 12.0 seconds.

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Answer:

One of the first things we need to know is the mass of the astronaut and equipment combined. Weight is given by the formula:

W = m x g, where m is the mass of the object(kg) and g is the gravitational acceleration on Earth's surface(9.8 m/s^2)

Knowing the weight of the astronaut and equipment, we get:

m = W / g

m = 2,156 N / 9.8 m/s^2 ( ^2 represents the power of 2)

m = 219.9 kg

Now, one last thing we need to know is the resulting velocity of the astronaut in the opposite direction. Once the astronaut throws the wrench from their equipment, according to the 3rd law of motion, the astronaut and the wrench will move in opposite directions because the astronaut pushed the wrench, and in return, the astronaut is pushed by the wrench. Having all these, we need to work with momentum.

p = m * v, where p is the object's momentum, m is mass and v is its velocity

let's call [tex]m_{a}[/tex] the astronaut's mass(combined with their equipment, including the wrench since it's initially part of the equipment)

[tex]m_{w}[/tex] = 5.0 kg is the wrench's mass

[tex]v_{wrench}{[/tex] = 5.0 m/s is the wrench velocity after it was thrown

The astronaut's momentum(before the thrown wrench): [tex]p_{before}=m_{a} * 0 = 0[/tex], because the astronaut's initial velocity is zero(including the equipment and wrench)

The astronaut threw the wrench. Therefore, we get the following momentum: [tex]p_{after} = m_{w} * v_{wrench} + (m_{a} - m_{w} ) * v_{after}[/tex]

The reason why we subtract the astronaut and equipment mass from the wrench's mass is that the astronaut and the equipment move independently from the wrench, therefore we exclude the wrench's mass.

The 3rd law of motion also implies that the total momentum of a system of objects interacting(colliding against one another) doesn't change. Therefore:

[tex]p_{before} = p_{after}[/tex]

Plugging all the values, we get:

5.0 kg * 5.0 m/s + (219.9 kg - 5.0 kg) * [tex]v_{after}[/tex] = 0

Solving the above equation, we get that the resulting velocity of the astronaut in the opposite direction is:

[tex]v_{after}=-8.596 m/s[/tex]

Note: The minus denotes the opposite direction the astronaut has after it was pushed by the wrench.

The car is going at speed of 3.82 m/s at the end of the breaking period and the car traveled the distance from the start is 25.33 m.

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

According to the question, the given values are :

Time, t₁ = 4.9 s

Time, t₂ = 1.60 s

Acceleration, a₁ = 1.4 m/s²

Acceleration, a₂ = -1.9 m/s²

Initial Velocity, u = 0 m/s

(a)

By the Equation of motion,

v = u + a₁t₁

v = 0 + (1.4)(4.9)

v = 6.86 m/s.

Now, the velocity of the car at the end of the breaking period :

v' = v + a₂t₂

v' = 6.86 + (-1.9)(1.60)

v' = 3.82 m/s.

(b)

s₁ = ut₁ + 1/2 a₁t₁²

s₁ = 0 + 1/2 (1.4)(4.9)²

s₁ = 16.8 m.

Now for the decelerated motion :

s₂ = vt₂+1/2 a₂t₂²

s₂= 6.86(1.60) + 1/2 (-1.9)(1.60)²

s₂ = 8.53 m.

So, total distance covered from the start, D :

D = s₁ + s₂

D = 16.8 + 8.53

D = 25.33 m.

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The electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.

The coulomb's law is used to find the force between two point charges. The force can be calculated using the formula -

F = 1/4πε₀ |Q₁||Q₂|/r²

Given is two charged objects separated by a distance of 0.6 m such that one object has a charge of -5 C and the other has a charge of +2C.

The electrostatic force of repulsion between the two charges is given by-

F = 1/4πε₀ |Q₁||Q₂|/r²

F = 9 x 10⁹ x (5 x 2)/(0.6)²

F = 90 x  10⁹/0.36

F = 9 x 10¹¹/36

F = 0.25 x 10¹¹ N

Therefore, the electrostatic force of repulsion between the two charges is equal to 0.25 x 10¹¹ N.

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The mathematical relationship between variables is suggested by a graph showing an L-shaped hyperbola that drops and flattens quickly is option A:  Inverse (simple).

When two variables change in an inverse relationship, they do so in the opposite directions: one increases while the other drops, and vice versa. Y declines as X rises in an inverse relationship. An inverse relationship always has a negative slope on a graph.

A function that can be altered into another function is said to be one that  can be seen as an inverse function or what we call the anti-function.

Therefore, Inverse operations are a class of mathematical operations where one operation cancels out the effects of another and it best shows  L-shaped hyperbola.

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Answer:

B. Inverse-squared

Explanation:

I took the physics exam