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schepotkina [342]
3 years ago
13

What is the distance required for a car traveling at 70 m/s and decelerating at 10 m/s^2 to stop?​

Physics
2 answers:
Zinaida [17]3 years ago
6 0

Answer:

The answer to your question is: 245 m

Explanation:

data

vo = 70 m/s

vf = 0 m/s

a = 10 m/s²

d = ?

Formula

vf² = vo² + 2ad

d = (vf² - vo²) / 2a

Process

d = (0² - 70²) / 2(10)        substitution

d= 4900 / 20                  simplify

d = 245 m

Andre45 [30]3 years ago
3 0

Answer: 245 m

Explanation: V^2 = Vo^2 + 2.a.d

When the car stops, V = 0.

Therefore, 0^2 = 70^2 + 2. (-10).d

0 = 4900 - 20d

d = 4900/20 = 245m

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A street light is at the top of a 19 foot tall pole. A woman 5.25 feet tall walks towards the pole with a speed of 7ft/sec along
bezimeni [28]
Answer:

The tip of her shadow is moving at the speed of 9.66 ft/sec

Explanation:

The height of the street light = 19 feet

The height of the woman = 5.25 feet

Distance between the woman and the base of the pole, x = 35 ft

The speed of the woman towards the pole, dx/dt = 7ft/sec

The distance from the base of the streetlight to the tip of the woman's shadow = y

The distance from the woman to the tip of her shadow = y - x

The diagram illustrating this description is shown below

Using similar triangle:

\begin{gathered} \frac{19}{5.25}=\text{ }\frac{y}{y-x} \\ 19(y-x)\text{ = 5.25y} \\ 19y-19x\text{ = 5.25y} \\ 19y-5.25y\text{ = 19x} \\ 13.75y\text{ = 19x} \\ y\text{ = }\frac{19}{13.75}x \\ y\text{ = }1.38x \end{gathered}

Find the derivative of both sides with respect to time, t

\begin{gathered} \frac{dy}{dt}=\text{ 1.38}\frac{dx}{dt} \\ \frac{dy}{dt}=\text{ 1.38(7)} \\ \frac{dy}{dt}\text{ = }9.66\text{ ft/sec} \end{gathered}

The tip of her shadow is moving at the speed of 9.66 ft/sec

7 0
1 year ago
If a Man suit a spare at a place where
Mazyrski [523]

Answer:

Yes

Explanation:

5 0
3 years ago
A thermally isolated system consists of a hot piece of aluminum and a cold piece of copper. The aluminum and the copper are in t
Marrrta [24]

Answer:

the amount of heat that gets through both the wires will be same.

Explanation:

By the Fourier's law of conduction we have:

\dot{Q}=k.A.\frac{dT}{dx}

where:

\dot{Q}= rate of heat transfer

k = thermal conductivity of the material

A = area of the material

dT = temperature difference across the length dx

According to the question, the system to be analysed is isolated from the surrounding.

Until the thermal equilibrium is established between aluminium and copper wires the amount of heat that gets through both the wires will be same.

<em>But the rate of heat transfer through the aluminium will be greater as it has double the thermal conductivity of copper.</em>

8 0
3 years ago
Mammals must eliminate waste products that their bodies produce. Which organ helps mammals eliminate bodily waste?
Arada [10]

Answer:

Digestion helps mammals eliminate bodily waste.

Explanation:

Humans are considered mammals and we use digestion to eliminate bodily waste. Digestion has three main functions. First digestion of food, second absorption of nutrients, and third elimination of solid waste. There are two processes that take place Mechanical digestion and chemical digestion. Mechanical digestion is the chewing and breaking down of food into smaller molecules, whereas chemical digestion is the breakdown of the smaller molecules into simpler nutrients that the body can absorb and use.

5 0
4 years ago
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You are pulling a child in a wagon. The rope handle is inclined upward at a 60∘ angle. The tension in the handle is 20 N.
dem82 [27]
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  • Force (F) = 20 N
  • Distance (s) = 200 m
  • Therefore, work done
  • = Fs Cos θ
  • = (20 × 200 × Cos 60°) J
  • = (20 × 200 × 1/2) J
  • = (20 × 100) J
  • = 2000 J

<u>Answer</u><u>:</u>

<u>2</u><u>0</u><u>0</u><u>0</u><u> </u><u>J</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

6 0
2 years ago
Read 2 more answers
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