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OLga [1]
3 years ago
12

Two trains are traveling side-by-side along parallel, straight tracks at the same speed. In a time t, train A doubles its speed.

In the same time train B increases its speed by a factor of 5.42. By what factor is the distance traveled by train B in time t greater than the distance traveled by train A in the same time t?
Physics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

derdddrdickdd

Explanation:

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A 1.0 kg football is given an initial velocity at ground level of 20.0 m/s [37° above horizontal]. It gets blocked just after re
brilliants [131]
1) Data:

Vo = 20 m/s
α = 37°
Yo = 0
Y = 3m

2) Questions: V at Y = 3m and X at Y = 3 m

3) Calculate components of the initial velocity

Vox = Vo * cos(37°) = 15.97 m/s

Voy = Vo * sin(37°) = 12.04 m/s

4) Formulas

Vx = constant = 15.97 m/s

X = Vx * t

Vy = Voy - g*t

Y = Yo + Voy * t - g (t^2) / 2

5) Calculate t when Y = 3m (first time)

Use g ≈ 9.8 m/s^2

3 = 12.04 * t - 4.9 t^2

=> 4.9 t^2 - 12.04t + 3 = 0

Use the quadratic equation to solve the equation

=> t = 0.28 s and t = 2.18s

First time => t = 0.28 s.

6) Calculate Vy when t = 0.28 s

Vy = 12.04 m/s  - 9.8 * 0.28s = 9.3 m/s

7) Calculate V:

V = √ [ (Vx)^2 + (Vy)^2 ] = √[ (15.97m/s)^2 + (9.30 m/s)^2 ] = 18.48 m/s

tan(β) = Vy/Vx = 9.30 / 15.97 ≈ 0.582 => β ≈ arctan(0.582) ≈ 30°

Answer: V ≈ 18.5 m/s, with angle ≈ 30°

8) Calculate X at t = 0.28s

X = Vx * t = 15.97 m/s * 0.28s = 4,47m ≈ 4,5m

Answer: X ≈ 4,5 m
4 0
3 years ago
A cement factory emits 900 kilograms of CO2 to produce 1,000 kilograms of cement. A fully grown tree removes six kilograms of CO
Dmitriy789 [7]
<h3><u>Answer;</u></h3>

To make the factory carbon neutral, the owners need to grow<em><u> 15000 trees</u></em> over an area of land measuring <em><u>75 acres</u></em>

<h3><u>Explanation and solution;</u></h3>

From the information;

900 kg CO2 = 1000 kg Cement

1 tree = 6 kg CO2

1 acre = 200 trees

<em>100000 kg Cement will require;</em>

<em>=(900 × 100000)/1000</em>

<em>= 90,000 kg of CO2</em>

<em>But 1 tree = 6 kg of CO2</em>

<em>Number of trees = 90,000/6</em>

<em>                            = 15,000 trees </em>

<em>But, 1 acre = 200 trees</em>

<em>Number of acres = 15,000/200</em>

<em>                             = 75 acres of land </em>

Therefore;

To make the factory carbon neutral, the owners need to grow<em><u> 15000 trees</u></em> over an area of land measuring <em><u>75 acres</u></em>

6 0
3 years ago
Read 2 more answers
A person hears sound wave beast at 3000Hz at the temperature of 30 °C. What is the person's ear canal length? Please explain
Evgen [1.6K]

Answer:

The person's ear canal length is 2.91 cm.

Explanation:

Given that,

Frequency = 3000 Hz

Temperature = 30°C

We need to calculate the speed

Using equation of sound wave with temperature

[texs]v(t)=331+0.6\times T[/tex]

Put the value of T

v(t)=331+0.6\times30^{\circ}\ C

v(t)=349\ m/s

We need to calculate the length

Using formula of closed organ pipe

f=\dfrac{v}{4L}

L=\dfrac{v}{4f}

Where, L = length

v = velocity

f = frequency

Put the value into the formula

L=\dfrac{349}{4\times3000}

L=0.0291\ m

L=2.91\times10^{-2}\ m

L=2.91\ cm

Hence, The person's ear canal length is 2.91 cm.

4 0
3 years ago
Investigations provide large amounts of information about a wide range of variables.
Lelechka [254]
<span>This statement is true that  Investigations provide large amounts of information about a wide range of variables.

We investigate to collect the information about all the variables, then we correlate the information of different variables to get some common information. And, with this information, we further process to achieve the required goal.

</span>
3 0
4 years ago
Read 2 more answers
Reset Answers
Artemon [7]

Explanation:

At a height of 93 m, the gravitational potential energy is given by :

P = mgh

Where, m is the mass of a penny

We can find its mass.

m=\dfrac{P}{gh}\\\\m=\dfrac{3}{9.8\times 93}\\\\m=0.00329\ kg

We need to find how much potential energy will have transformed into kinetic energy at the half way point (46.5m). It can be calculated as :

E=mgh'\\\\E=0.00329\times 9.8\times 46.5\\\\E=1.499\ J

Hence, a penny will have transferred 1.499 J of potential energy into kinetic energy.

7 0
4 years ago
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