1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Citrus2011 [14]
3 years ago
13

A police car waits in hiding slightly off the highway. A speeding car is spotted by the police car traveling at speed s = 27.6 m

/s. At the instant the speeding car passes the police car, the police car accelerates forward from rest at a constant rate of a = 2.16 m/s^2 to catch the speeding car. Assume the speeding car maintains its speed. Write an expression for the time it takes the police car to reach the speeding car. Use the variables from the problem statement in your expression.
Physics
1 answer:
andriy [413]3 years ago
6 0

Answer:

t=\frac{2s}{a}=25.56s

Explanation:

The distance traveled by the speeding car will be d_s=st, where s=27.6m/s.

The distance traveled by the police car will be given by the formula:

d=v_{0}t+\frac{at^2}{2}, where a=2.16m/s^2 and v_0=0m/s since it departs from rest, thus having d=\frac{at^2}{2}.

The police car will reach the speeding car when those distances are the same, or s=d, so we will have:

st=\frac{at^2}{2}

Which means:

t=\frac{2s}{a}

This is the expression asked, but we can use our values:

t=\frac{2s}{a}=\frac{2(27.6m/s)}{(2.16m/s^2)}=25.56s

You might be interested in
A recent home energy bill indicates that a household used 475475 kWh (kilowatt‑hour) of electrical energy and 135135 therms for
faltersainse [42]

Answer:

Explanation:

Given that,.

A house hold power consumption is

475 KWh

Gas used is

135 thermal gas for month

Given that, 1 thermal = 29.3 KWh

Then,

135 thermal = 135 × 29.3 = 3955.5 KWh

So, total power used is

P = 475 + 3955.5

P =4430.5 KWh

Since 1 hr = 3600 seconds

So, the energy consumed for 1hr is

1KW = 1000W

P = energy / time

Energy = Power × time

E = 4430.5 KWhr × 1000W / KW × 3600s / hr

E = 1.595 × 10^10 J

So, using Albert Einstein relativity equation

E = mc²

m = E / c²

c is speed of light = 3 × 10^8 m/s

m = 1.595 × 10^10 / (3 × 10^8)²

m = 1.77 × 10^-7 kg

Then,

1 kg = 10^6 mg

m = 1.77 × 10^-7 kg × 10^6 mg / kg

m = 0.177mg

m ≈ 0.18 mg

5 0
3 years ago
1.A river flowing steadily at a rate of 240 m3/s is considered for hydroelectric power generation. It is determined that a dam c
SIZIF [17.4K]

Answer:

the power that can be generated by the river is 117.6 MW

Explanation:

Given that;

Volume flow rate of river v = 240 m³/s

Height above the lake surface a h = 50 m

Amount of power can be generated from this river water after the dam is filled = ?

Now the collected water in the dam contains potential energy which is used for the power generation,

hence, total mechanical energy is due to potential energy alone.

E_{mech} = m(gh)

first we determine the mass flow rate of the fluid m

m = p×v

where p is density ( 1000 kg/m³

so we substitute

m = 1000kg/m³ × 240 m³/s

m = 240000 kg/s

so we plug in our values into ( E_{mech} = m(gh) kJ/kg )

E_{mech} = 240000 × 9.8 × 50

E_{mech} = 117600000 W

E_{mech} = 117.6 MW

Therefore, the power that can be generated by the river is 117.6 MW

4 0
3 years ago
I need both parts please (a) Given a material with an attenuation coefficient (a) of 0.6/cm, what is the intensity of a beam (wi
Masteriza [31]

Answer:

<h3>a.</h3>
  • After it has traveled through 1 cm : I(1 \ cm) = 0.5488 I_0
  • After it has traveled through 2 cm : I(2 \ cm) = 0.3012 I_0
<h3>b.</h3>
  • After it has traveled through 1 cm : od( 1\ cm) =  0.2606
  • After it has traveled through 2 cm :  od( 2\ cm) =  0.5211

Explanation:

<h2>a.</h2>

For this problem, we can use the Beer-Lambert law. For constant attenuation coefficient \mu the formula is:

I(x) = I_0 e^{-\mu x}

where I is the intensity of the beam, I_0 is the incident intensity and x is the length of the material traveled.

For our problem, after travelling 1 cm:

I(1 \ cm) = I_0 e^{- 0.6 \frac{1}{cm} \ 1 cm}

I(1 \ cm) = I_0 e^{- 0.6}

I(1 \ cm) = I_0 e^{- 0.6}

I(1 \ cm) = 0.5488 \ I_0

After travelling 2 cm:

I(2 \ cm) = I_0 e^{- 0.6 \frac{1}{cm} \ 2 cm}

I(2 \ cm) = I_0 e^{- 1.2}

I(2 \ cm) = I_0 e^{- 1.2}

I(2 \ cm) = 0.3012 \ I_0

<h2>b</h2>

The optical density od is given by:

od(x) = - log_{10} ( \frac{I(x)}{I_0} ).

So, after travelling 1 cm:

od( 1\ cm) = - log_{10} ( \frac{0.5488 \ I_0}{I_0} )

od( 1\ cm) = - log_{10} ( 0.5488 )

od( 1\ cm) = - (  - 0.2606)

od( 1\ cm) =  0.2606

After travelling 2 cm:

od( 2\ cm) = - log_{10} ( \frac{0.3012 \ I_0}{I_0} )

od( 2\ cm) = - log_{10} ( 0.3012 )

od( 2\ cm) = - (  - 0.5211)

od( 2\ cm) =  0.5211

3 0
3 years ago
A flight distance from philadelphia to cancun is 1469 miles.the estimated flight time is 3.25 hours.What is the avarage speeede
Jlenok [28]

Answer:

1469 miles /3.25 hours = 452 miles per hours

Explanation:

divide distance by the time it takes to get there

4 0
2 years ago
List three advantages of reflecting telescopes over refracting telescopes.
Dima020 [189]

Answer:

Three advantages of Reflecting Telescope over refracting Telescope:

1. there is no chromatic aberration in the Reflecting Telescope being mirror as an objective, while Refracting Telescope can suffer chromatic aberration being using lenses.

2. image of Reflecting Telescope is brighter due to large, polished curved mirrors than Refracting Telescope

3. Reflecting Telescope is compact and portable in size than Refracting Telescope.

4 0
3 years ago
Other questions:
  • Through how many volts of potential difference must an electron, initially at rest, be accelerated to achieve a wave length of 0
    13·1 answer
  • Factors that affect the amount of friction against an object moving throughout the air include the objects what
    12·1 answer
  • Why might scientists measure the mass of object rather than the weight of an object?
    11·1 answer
  • I need help with...
    11·1 answer
  • When removing the objects from the oven, you accidentally touch each one with your hand. Rank these objects on the basis of how
    12·1 answer
  • What is the modern periodic table of elements?
    9·2 answers
  • A 20 cm square frame that can rotate about the 00' axis is placed in a homogeneous magnetic field with 0.5T induction directed v
    15·1 answer
  • An electron in a mercury atom drops
    15·1 answer
  • QC Suppose you hear a clap of thunder 16.2s after seeing the associated lightning strike. The speed of light in air is 3.00× 10⁸
    6·1 answer
  • . Which pair of concurrent forces could produce
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!