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True [87]
3 years ago
7

Suppose a car is traveling at +20.3 m/s, and the driver sees a traffic light turn red. After 0.207 s has elapsed (the reaction t

ime), the driver applies the brakes, and the car decelerates at 7.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?
Physics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

33.6371 m

Explanation:

t = Time taken

u = Initial velocity = 20.3 m/s

v = Final velocity

s = Displacement

a = Acceleration = -7 m/s²

Distance traveled in the 0.207 seconds

Distance = Speed × Time

⇒Distance = 20.3×0.207 = 4.2021 m

Equation of motion

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-20.3^2}{2\times -7}\\\Rightarrow s=29.435\ m

Distance traveled by the car while braking is 29.435 m

Total distance measured from the point where the driver first notices the red light is 29.435+4.2021 = 33.6371 m

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A house at the bottom of a hill is fed by a full tank of water 5m deep and connected to the house by a pipe that is 110m long at
yawa3891 [41]

Answer:

a) p=964178.7\ Pa

b) h=98.2853\ m

Explanation:

Given;

  • depth of the water-tank, d=5\ m
  • length of the pipe, l=110\ m
  • inclination of the pipe from the horizontal, \theta =58^{\circ}

a)

Now the effective vertical height of the water column from the free surface of the water to the bottom of the pipe at house:

h=d+l.\sin\theta

h=5+110\sin58

h=98.2853\ m

Now the pressure due to effective water head:

p=\rho.g.h

where:

\rho= density of the liquid, here water

g= acceleration due to gravity

h= height of the liquid column

p=1000\times9.81\times 98.2853

p=964178.7\ Pa

b)

Now the height of water corresponding to this pressure will be the same as the effective water head by the law of conservation of energy.

h=98.2853\ m

6 0
3 years ago
In each cycle, a heat engine performs 710 J of work and exhausts 1480 J of heat. What is the thermal effiency?
Tomtit [17]

Answer:

32%

Explanation:

For a heat engine, efficiency is work out divided by heat in:

η = Wₒ / Qᵢ

Since energy is balanced, heat in is the sum of work out and heat out:

Qᵢ = Wₒ + Qₒ

Therefore:

η = Wₒ / (Wₒ + Qₒ)

Given Wₒ = 710 J and Qₒ = 1480 J:

η = 710 / (710 + 1480)

η = 0.32

The thermal efficiency is 32%.

6 0
3 years ago
How are active and passive transport different?
sashaice [31]


Passive transport is when molecules travel from HIGHER concentration to LOWER concentration through a concentration gradient.

Active transport is the OPPOSITE. So it travels from LOWER to HIGHER concentration through a concentration gradient.

There are also other differences, but this is the main difference.


8 0
3 years ago
Which equation would you use to solve the following problem?
aivan3 [116]

The correct answer to the question is : C)The problem is asking to solve for work; W = F × d

EXPLANATION:

As per the question, the distance covered by the object d = 29 m.

The force that acts on the object is F = 289 N.

We are asked to choose the correct equation for work done.

Work is said to be done on a body or by a body if the applied force has a component along the direction of displacement.

Mathematically work done W = force × displacement

                                                  = F × d

As per the question, we are given distance covered and applied force.

Hence, the correct equation for calculating work done by the object is equation C.


6 0
3 years ago
Read 2 more answers
Raindrops are falling straight down at 11 m/s when suddenly the wind starts blowing horizontally at a brisk 5.0 m/s. From your p
Bumek [7]

Answer: 24.4 degrees to the vertical

Explanation:

Vertical component of raindrop speed = 11m/s

Horizontal component of wind = 5m/s

In this case, all we have to do is to use trigonometric ratios of angles to sides as in a triangle

Doing this, we see that

tan (theta) = 5/11

(Where theta is the angle made with the vertical by the rain after impact)

Tan being opposite/adjacent

Arc sin (5/11) gives us 24.44 degrees to the vertical

8 0
3 years ago
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