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Gnoma [55]
2 years ago
15

A person walks 9.0 km directly east and then turns left and heads directly north for 12.0 km. What is his displacement from the

starting position? give the magnitude and direction relative to due east. (treat this as a positive x-axis)
Physics
1 answer:
Readme [11.4K]2 years ago
5 0

Explanation:

Given that,

A person walks 9.0 km directly east and then turns left and heads directly north for 12.0 km.

We need to find his displacement from the starting position.

We know that,

Displacement = shortest path covered

D=\sqrt{9^2+12^2} \\\\D=15\ km

For direction,

\theta=\tan^{-1}(\dfrac{d_y}{d_x})\\\\\theta=\tan^{-1}(\dfrac{12}{9})\\\\= $$53.13^{\circ}

Hence, this is the required solution.

You might be interested in
A frictionless cart of mass M is attached to a spring with spring constant k. When the cart is displaced 6 cm from its rest posi
Marianna [84]

Answer:

Time period of horizontal Oscillation  = T = 2\pi\sqrt{\frac{m}{k} }

As you can see, from the equation, Period of oscillation depends upon the mass and the spring constant. Not on the displacement.

Explanation:

Solution:

As we know that:

F = Kx

Here,

K = Spring constant

x = displacement.

First, they are displacing it with 6 cm from its rest position for which Time period of the oscillation is T = 2 seconds.

But next, they want to know the effect on the time period of the oscillation if the displacement x is doubled from 6cm to 12 cm.

First of all, let us see the equation of the time period of the oscillation.

We need to check, if time period does depend on the displacement or not.

As we know,

Time period of horizontal Oscillation  = T = 2\pi\sqrt{\frac{m}{k} }

As you can see, from the equation, Period of oscillation depends upon the mass and the spring constant. Not on the displacement.

Since, K is the constant for a particular spring, we need to change the mass of the cart to change the time period.

Hence the Time period will remain same.

8 0
3 years ago
A wall in a house contains a single window. The window consists of a single pane of glass whose area is 0.15 m2 and whose thickn
KengaRu [80]

Answer:

88 %

Explanation:

The rate of heat loss by a conducting material of thermal conductivity K, cross-sectional area,A and thickness d with a temperature gradient ΔT is given by

P = KAΔT/d

The total heat lost by the styrofoam wall is P₁ = K₁A₁ΔT₁/d₁ where K₁ =thermal conductivity of styrofoam wall 0.033 W/m-K, A₁ = area of styrofoam wall = 17 m², ΔT₁ = temperature gradient between inside and outside of the wall and d₁ = thickness of styrofoam wall = 0.20 m

The total heat lost by the glass window is P₂ = K₂A₂ΔT₂/d₂ where K₂ =thermal conductivity of glass window pane wall 0.96 W/m-K, A₂ = area of glass window pane = 0.15 m², ΔT₂ = temperature gradient between inside and outside of the window and d₂ = thickness of glass window pane = 7 mm = 0.007 m

The total heat lost is P = P₁ + P₂ = K₁A₁ΔT₁/d₁ + K₂A₂ΔT₂/d₂

Now, since the temperatures of both inside and outside of both window and wall are the same, ΔT₁ = ΔT₂ = ΔT

So, P = K₁A₁ΔT/d₁ + K₂A₂ΔT/d₂

Since P₂ = K₂A₂ΔT₂/d₂ = K₂A₂ΔT/d₂is the heat lost by the window, the fraction of the heat lost by the window from the total heat lost is

P₂/P = K₂A₂ΔT/d₂ ÷ (K₁A₁ΔT/d₁ + K₂A₂ΔT/d₂)

= 1/(K₁A₁ΔT/d₁÷K₂A₂ΔT/d₂ + 1)

= 1/(K₁A₁d₂÷K₂A₂d₁ + 1)

= 1/[(0.033 W/m-K × 17 m² × 0.007 m ÷ 0.96 W/m-K × 0.15 m² × 0.20 m) + 1]

= 1/(0.003927/0.0288 + 1)

= 1/(0.1364 + 1)

= 1/1.1364

= 0.88.

The percentage is thus P₂/P × 100 % = 0.88 × 100 % = 88 %

The percentage of heat lost by window of the total heat is 88 %

6 0
3 years ago
What is the same about each type of electromagnetic wave?
xenn [34]
There all diffrent speeds 
7 0
3 years ago
Compare the inner core and the outer core?
vfiekz [6]

To compare the inner core and the outer core, we need to outline the parameters based on

  1. Temperature - the outer core has 2000-5000 C, while inner reach 6000 C
  2. Structure and consistency - The outer core consist of iron and nickel, mix with low amount of gold, platinum, and uranium, while inner is the melting pot of all dense material and lot of uranium.
  3. Depth - The outer core has depth to 2900 km, while inner core has 1300 - 1400 km radius.

<h3>Further explanation</h3><h3>Consistency / materials</h3>
  • Both the outer core and the inner core are made generally of iron and nickel.  
<h3 /><h3>Temperature</h3>
  • The outer core achieves a temperature of 2000°c. The inward center has a temperature as high as 5000°c.
  • The inner core achieves a temperature of 6000 °c.
  • Within this temperature, both nickel and iron are dissolved and converted into a fluid.

<h3>Structure</h3>
  • In contrast to the outer core, the internal base is reduced in spite of the boiling temperature achieved the radioactive rot of uranium due to the incredible weight that keeps this layer in a stable stage.
  • The layer that partitions the external center and internal center is known as Bullen brokenness. Bullen brokenness is likewise the most sizzling locale of wherein the temperature reaches up to 6000°c its as hot as the outside of the sun.

<h3>Depth </h3>
  • Outside the outer and inner core, there is mantle that has the depth to around 2,900 kilometers from the Earth's surface.
  • The outer has depth more than 2900 kilometers from Earth surface.
  • The iner core is the deepest among all of them and has radius for 1300 kilometers.
  • Check the structure of earth here brainly.com/question/2162876

<h3>Structure of Earth</h3>

The Earth is separated into four layers. The external layer is the hull, beneath the covering is the mantle, and pursued by the external center, at that point, the most profound and the most smoking layer is known as the internal center.

<h3>Learn more</h3>

Here are the four layers of the Earth

  1. Hull
  2. Mantle
  3. External center
  4. Internal center

<h3>1. Hull or crust </h3>

The hull is the peripheral and the thinnest layer which goes about as the skin of the Earth that stretches out from the surface to around 32 kilometers beneath. This is the layer where we live, and volcanoes, quake, and mountain reaches are framed.

  • The marine shell is denser and more slender contrasted with mainland hull.
  • Mainland hull is thicker and is less thick contrasted with the maritime shell.

<h3>2. Mantle </h3>

Underneath the outside is the layer known as the mantle, which stretches out to around 2,900 kilometers from the Earth's surface. The coat is the thickest layer of the Earth and is progressively thick contrasted with the outside. It is the path more sizzling than the covering and equipped for liquefying it. The upper mantle is plastic, its made up of magma that as a result of an excessive amount of warmth it streams which causes changes on the outside of the Earth.

<h3>3. Outer Core </h3>

The external center is 2900 kilometers underneath the outside of the Earth. It is for the most part comprised of iron and nickel; however, in the fluid stage and its temperature ranges to about 2000°C. Regardless of whether the external center has a high weight, yet because of its a lot higher temperature, nickel and iron are liquefied. The external center is streaming outside the internal center, which produces an attractive field that shields the Earth from the hazardous, radioactive material originating from the warmth of the sun.

<h3>4. Internal Core </h3>

The internal center is the most profound layer comprised of heavy iron and nickel and has a sweep of around 1,300 kilometers. Its temperature scopes to about 5000°C. The internal has the most elevated thickness contrasted with the other. The warmth in the inside of the Earth is brought about by the radioactive rot of uranium in the internal center, which discharges considerable measure of heat.

Perhaps you are interested within the topic of

Seismic wave : brainly.com/question/2840246

Vulcanoes mountain : brainly.com/question/9164146

<h3>Core Curriculum category</h3>

Subject : Geography

Class : 8

Subchapter : Earth and its structure.

4 0
3 years ago
Read 2 more answers
A car is moving at 25.5 m/s when it accelerates at 1.94 m/s^2 for 2.3 s. What is the car's final speed? (Keep in mind direction
Stolb23 [73]

Answer:

29.96m/s

Explanation:

Given parameters:

Initial speed  = 25.5m/s

Acceleration  = 1.94m/s²

Time  = 2.3s

Unknown:

Final speed of the car  = ?

Solution:

To solve this problem, we are going to apply the right motion equation:

    v = u  + at

v is the final speed

u is the initial speed

a is the acceleration

t is the time taken

 Now insert the parameters and solve;

      v  = 25.5 + (1.94 x 2.3)  = 29.96m/s

3 0
3 years ago
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