Which of the following should a warm up NOT include?

You get pulled over for running a red light. You explain to the police officer that the light appeared green to you due to the D

Ludmilka [50]

Answer:

$ 3085713685.71

Explanation:

$\lambda_0$ = Actual wavelength = 700 nm

$\lambda$ = Changed wavelength = 500 nm

Let the wavelength of red color be 700 nm and green be 500 nm

Change in wavelength is

$\Delta \lambda=700-500\\\Rightarrow \theta\lambda=200\ nm$

We have the relation

$\dfrac{\Delta\lambda}{\lambda_0}=\dfrac{v}{c}\\\Rightarrow v=\dfrac{\Delta\lambda}{\lambda_0}c\\\Rightarrow v=\dfrac{200}{700}\times 3\times 10^8\\\Rightarrow v=85714285.7143\ m/s$

The speed of the vehicle is 85714285.7143 m/s

$\dfrac{85714285.7143\times 3600}{1000}=308571428.571\ km/h$

By how much was the car speeding

$308571428.571-60=308571368.571\ km/h$

The number of 10 km/h in the above speed

$308571368.571\times\dfrac{1}{10}=30857136.8571$

Cost of the ticket

$30857136.8571\times 100=\$ 3085713685.71$

The cost of the ticket is $ 3085713685.71

8 0

3 years ago

Read 2 more answers

When resting, a person has a metabolic rate of about 3.0 105 joules per hour. The person is submerged neck-deep into a tub conta

jek_recluse [69]

Answer:

The temperature after half an hour is $19.3002^{\circ}$

Solution:

As per the question;

Metabolic rate of the person is 3.0105 J/h

Temperature, T = $19.30^{\circ}$

Mass of the water, $m_{w} = 1.2103 kg$

Time duration, t = 0.5 h = 30 min = 180 s

Now,

Heat, $Q = ms\Delta t$

Thus heat transfer in half an hour:

$Q = 3.0105\times 0.5 = 1.505 J$

Now, the temperature of water after half an hour, T' is given by:

$Q = m_{w}s\Delta T = ms(T' - T)$

where

s = 4186 J

$1.505 = 1.21103\times 4186\times (T' - 19.30^{\circ})$

$T' = 19.3002 ^{\circ}$

4 0

3 years ago

A house is advertised as having 1560 square feet under roof. What is the area of this house in square meters?

strojnjashka [21]

Answer:

1 m = 3.28 ft

1 m^2 = 10.76 ft^2

1560 ft^2 / 10.76 ft^2 / m^2 = 145 m^2

7 0

3 years ago

A ball starts from rest and rolls down a hill at a constant acceleration of 5 m/s2. If it travels for 8 m how fast is it going i

makkiz [27]

Hi there!

We can use the following kinematic equation:

$v_f^2 = v_i^2 + 2ad$

vf = final velocity (? m/s)
vi = intial velocity (0 m/s)

a = acceleration (5 m/s²)

d = displacement (8 m)

Plug in the givens and solve.

$v_f^2 = 0 + 2(5)(8)\\\\v_f = \sqrt{80} = \boxed{8.944 \frac{m}{s}}$

5 0

2 years ago

A train travels 63 kilometers in 2 hours, and then 56 kilometers in 3 hours. What is its average speed? i need the answer and un

kolbaska11 [484]

The average speed is the ratio between the total space and the total time of the motion:
$v= \frac{S_{tot}}{t_{tot}}$
The total space is
$S_{tot}=63 km + 56 km = 119 km$
while the total time is
$t_{tot}=2h+3h = 5h$
So, the average velocity is
$v= \frac{119 km}{5 h} =23.8 km/h
$

We can also rewrite it in m/s. The total space is $S_{tot}=119000 m$ , while the time is $t_{tot}=5h\cdot 3600 s/h = 18000s$ , and so
$v= \frac{119000m}{18000s}=6.6 m/s$

4 0

2 years ago