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The resultant of the displacement is 336.5m

The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.

For the first displacement;

The vertical component = - 150 sin45 = -106.1 m

The horizontal component = - 150 cos 45° = -106.1 m

For the second displacement;

The vertical displacement = - 85sin90 = -85

The horizontal component = 0

For the third displacement;

The vertical displacement = 550 sin55 = 450.5

The horizontal displacement = 550 cos 55 = 315.5

Sum of vertical component = 450.5-85-106.1 = 263.4

sum of horizontal component = 315.5 -106.1 = 209.4

Using Pythagorean theorem

R = √ 263.4² + 209.4²

R = √113227.92

R = 336.5m

The resultant angle = tan^-1( 263.4/209.4)

= tan^-1(1.26)

= 51.56°

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Answer: STOP LOOKING FOR ANSWERS OMG:(((((9

Explanation:

ANSWER

EXPLANATION

The average acceleration of a body is the change in velocity divided by the change in time. That is:

Therefore, the average acceleration of the vehicle is:

Answer:

magnetic

Explanation:

that is how compasses work

The order of magnitude of the number 0.0000781 s is 10⁻⁵.

The order of magnitude of a number expresses the number of times that value is multiplied or divided by a given number.

The order of magnitude of number can be in powers of

The order of magnitude can be obtained when the number is written in standard form.

The order of magnitude of the given number can be obtained as follows:

0.0000781 s written in standard form is 7.81 * 10⁻⁵ s

Thus, the order of magnitude of the given number is 10⁻⁵.

In conclusion, the order of magnitude can be obtained by expressing the number in standard form.

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Answer:

s=800 m

Explanation:

Given that,

Acceleration of a runner, a = 4 m/s²

Time, t = 20 seconds

We need to find the distance covered by her. Initially, she was at rest. It means its initial velocity is equal to 0. So, using second equation of motion as follows :

\(s=ut+\dfrac{1}{2}at^2\)

Herre, u = 0

\(s=\dfrac{1}{2}at^2\\\\s=\dfrac{1}{2}\times 4\times (20)^2\\\\s=800\ m\)

So, she will cover a distance of 800 m.

Answer:

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 60 × 2

We have the final answer as

Hope this helps you

Answer:

50m/s

Explanation:

Divide 500 by 10 and keep same variables m/s. Hope this helps!

Answer:

a)   F = 3.3 10⁴ N,  b)  F = 2.2 10³ N,  c) force when rigid is 15 times greater than when bending the knees

Explanation:

For this exercise we can use the relationship between work and the variation of kinetic energy

          K₀ = ½ m v²

the final kinetic energy is zero because the person is stationary

          W = (∑ F) x

          W = W x - F w

the weight is in the same direction of the displacement therefore the work is positive and the force applied, by the floor, is in the opposite direction to the displacement, consequently the work is negative

we substitute

          ( W-  F ) x = 0-K₀

           F = W + K₀ /x  

          F = mg + \(\frac{1}{2} \frac{mv^2 }{2x}\)  

          F = m ( g+  \(\frac{v^2 }{2x }\)  )

Let's use kinematics to find the velocity of the person when reaching the floor

           v² = v₀² - 2g (y + y₀)

the initial velocity is true and when reaching the ground y = 0

          v² = -2 g (0-yo)

we calculate

          v = \(\sqrt{2 ] 9.8 \ 0.800}\)

          v = - 3.96  m/s

the direction of this velocity is vertical down

let's calculate

a) x = 1.50 cm = 0.0150 m

           F = 62.0 (3.96² / 2 0.0150 + 9.8)

           F = 3.3 10⁴ N

b) x = 30 cm = 0.30 m

           F = 62.0 (3.96² / 2 0.30 + 9.8)

           F = 2.2 10³ N

c) to compare the force let's look for the relationship between the two

           \(\frac{F_{rigid} }{ F_{flexible} }\) = 3.3 10⁴ / 2.2 10³

           \frac{F_{rigid}  }{ F_{flexible} } = 15

therefore see that the force when rigid is 15 times greater than when bending the knees

Answer:

Electrostatic phenomenon is a from the forces that electric charges exert on each other.

Answer:

Explanation:

To calculate an effect size, called Cohen's d , for the one-sample t-test you need to divide the mean difference by the standard deviation of the difference, as shown below. Note that, here: sd(x-mu) = sd(x) . μ is the theoretical mean against which the mean of our sample is compared (default value is mu = 0).

The total distance covered by the car is 300 miles.

The total displacement covered by the car is zero.

The average speed of the car is 17.88 m/s.

The average velocity of the car is also zero.

Distance between the points A and B, d = 150 miles

Time taken by the car to travel from A to B, t₁ = 3 hours

Time taken by the car to travel from B to A, t₂ = 5 hours

a) Given that the car travelled from A to B and then back to A.

Therefore, the total distance covered by the car is,

Distance = 2 x d

Distance = 2 x 150

Distance = 300 miles

Since the car is travelling from A to B and then returning back to the initial point A, the total displacement covered by the car is zero.

b) The speed with which the car travelled from A to B is,

v₁ = d/t₁

v₁ = 150/3

v₁ = 50 miles/hr

v₁ = 22.35 m/s

The speed with which the car travelled from B to A is,

v₂ = d/t₂

v₂ = 150/5

v₂ = 30 miles/hr

v₂ = 13.41 m/s

Therefore, the average speed of the car is,

v = (v₁ + v₂)/2

v = (22.35 + 13.41)/2

v = 17.88 m/s

As, the total displacement of the car is zero, the average velocity of the car is also zero.

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a)  the average power of the elevator motor during this period is 0.1696 hp

b) The power during an upward trip with constant speed is 16.13 horsepower.

To calculate the average power of the elevator motor during the period of acceleration, we need to find the work done by the motor and divide it by the time taken.

Given:

Mass of the elevator (m) = 682 kg

Acceleration (a) = (1.80 m/s - 0) / 3.10 s = 0.5806 m/s²

Time taken for acceleration (t) = 3.10 s

(a) First, let's calculate the displacement (d) using the formula for uniformly accelerated motion:

d = 0.5 * a * t^2

= 0.5 * 0.5806 m/s² * (3.10 s)^2

= 1.0153 m

Next, we can calculate the work done (W) by the elevator motor:

W = m * a * d

= 682 kg * 0.5806 m/s² * 1.0153 m

= 391.55 J

Now, to find the average power (P), we divide the work done by the time taken:

P = W / t

= 391.55 J / 3.10 s

= 126.36 W

To convert the power to horsepower, we can use the conversion factor: 1 horsepower (hp) = 745.7 watts.

Therefore, the average power of the elevator motor during this period is:

P = 126.36 W / 745.7

= 0.1696 hp

(b) During an upward trip with constant speed, the elevator does not accelerate, so the power required is only to counteract the force of gravity and friction. The power during an upward trip with constant speed is equal to the power required to overcome the force of gravity and friction.

The force of gravity (Fg) can be calculated using:

Fg = m * g

= 682 kg * 9.8 m/s²

= 6683.6 N

The power (P) required is given by the formula:

P = Fg * v

= 6683.6 N * 1.80 m/s

= 12030.5 W

To convert the power to horsepower:

P = 12030.5 W / 745.7

= 16.13 hp

Therefore, the power during an upward trip with constant speed is 16.13 horsepower.

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Answer:

B, D and E, not all matter can be filled with air

Answer:Lack of experience.

Explanation:

Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.

Answer:

d is the right answer

it's was helpful to you

Answer:

10m/s2

Explanation:

250/25=10

Answer:

Magnetism is an example of a non-contact or action-at-a-distance force. These are forces which can act on an object without being in physical contact with it. The force of gravity is another example. Thus, gravity will pull a raindrop down to Earth without any tangible physical link between the Earth and the drop.

Explanation:

hope this helps u, sorry if it doesn't.

Answer:

Magnetic force

Explanation:

It would be this because all of th other forces are touching the object to make it move or somhting like that, the only one that makes it move by not touching it would be the magnetic force,

Hope this helps

Answer:

"Both kinetic energy and angular moment of the system" is the correct solution.

Explanation:

The kinetic energy is:

\(KE=\frac{1}{2}m_{1}v_{1}^2 + \frac{1}{2}m_{2}v_{2}^2\)

Its conversion is:

⇒ \((KE)_{1}=(KE)_{f}\)

Angular momentum is:

\(L=I_{1}\omega_{1}+I_{2}\omega_{2}\)

Its conversion is:

⇒ \(L_{i}=L_{f}\)

So that both "KE" and "L" of the system conserved.

The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.

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The average frictional force exerted on the block by the rough section of the surface D 4N.

Frictional force is the force exerted between two objects when they are in contact and one object is moving relative to the other. It is caused by the microscopic irregularities on the surface of the objects, which cause them to stick together and resist relative motion. Frictional forces are always present, and can be beneficial in some cases, but can also cause wear and other forms of damage if too great. Frictional forces can be reduced by applying a lubricant, such as oil or grease, which reduces the surface area of contact and allows the objects to move more easily.

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Answer:  a stretch of 2

Explanation: because it 2 (x) - 3

Answer:

The time taken is  \(t = 0.356 \ s\)

Explanation:

From the question we are told that

  The length of steel the wire is  \(l_1 = 31.0 \ m\)

   The  length of the  copper wire is  \(l_2 = 17.0 \ m\)

    The  diameter of the wire is  \(d = 1.00 \ m = 1.0 *10^{-3} \ m\)

     The  tension is  \(T = 122 \ N\)

The time taken by the transverse wave to travel the length of the two wire is mathematically represented as

              \(t = t_s + t_c\)

Where  \(t_s\) is the time taken to transverse the steel wire which is mathematically represented as

         \(t_s = l_1 * [ \sqrt{ \frac{\rho * \pi * d^2 }{ 4 * T} } ]\)

here  \(\rho_s\) is the density of steel with a value  \(\rho_s = 8920 \ kg/m^3\)

   So

      \(t_s = 31 * [ \sqrt{ \frac{8920 * 3.142* (1*10^{-3})^2 }{ 4 * 122} } ]\)

      \(t_s = 0.235 \ s\)

 And

        \(t_c\) is the time taken to transverse the copper wire which is mathematically represented as

      \(t_c = l_2 * [ \sqrt{ \frac{\rho_c * \pi * d^2 }{ 4 * T} } ]\)

here  \(\rho_c\) is the density of steel with a value  \(\rho_s = 7860 \ kg/m^3\)

 So

      \(t_c = 17 * [ \sqrt{ \frac{7860 * 3.142* (1*10^{-3})^2 }{ 4 * 122} } ]\)

      \(t_c =0.121\)

So  

   \(t = t_c + t_s\)

    \(t = 0.121 + 0.235\)

    \(t = 0.356 \ s\)

This ratio specifies how much oil should be added to how much new, standard unleaded gasoline (having no more than 10% ethanol). There is a 40:1 ratio for all Remington 2-cycle products.

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Answer:

B

Explanation:

Monucles work in different shapes

Answer:

7 because salt lake and Southis weat

Answer:

6.37*10^-13 N

Explanation:

Given that

We r = 38/2 = 14 m

m1 = 22kg

m2 = 21 kg

so we can say that distance between center of the satellite and meteor,

d = r + h

= 14 + 8

= 22m

So the gravitational force on the meteor, is

F = G x m1 x m2/d²

= 6.67*10^-11 x 21 *22/22²

= 6.37*10^-13 N

The water flow rate from the faucet, assuming a steady flow, is approximately 0.0001608 cubic meters per second.

The phenomenon of a water stream "necking down" as it falls can be explained by the principle of conservation of mass. According to this principle, the flow rate of water remains constant throughout the system.

In the given figure, the water stream emerges from a faucet with an initial cross-sectional area of 1.8 cm² (Area one). As the water falls, it narrows down to a smaller cross-sectional area of 0.3 cm² (Area two) at a height of 25 cm.

To calculate the water flow rate assuming steady flow, we can use the formula:

Flow rate = A₁√(2gh) / A₁² - A₂²

Where A₁ and A₂ are the initial and final cross-sectional areas, respectively, g is the acceleration due to gravity, and h is the height of the water column.

Plugging in the given values, we have:

Flow rate = 1.8 cm² √(2 × 9.8 m/s² × 25 cm) / (1.8 cm²)² - (0.3 cm²)²

Converting the units to match, we get:

Flow rate = 0.018 m² √(2 × 9.8 m/s² × 0.25 m) / (0.018 m²)² - (0.003 m²)²

Simplifying the expression, we find:

Flow rate ≈ 0.0001608 m³/s

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Answer: By dividing airflow by duct cross section.

Explanation:

In short, air velocity in the ducts is calculated by dividing airflow by duct cross-section. Airflow is expressed as a simple number. Example: Air conditioner has a max. airflow of 600 CFM.