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
Anni [7]
3 years ago
12

Car A is traveling north on a straight highway and car B is traveling west on a different straight highway. Each car is approach

ing the intersection of these highways. At a certain moment, car A is 0.4 km from the intersection and traveling at 75 km/h while car B is 0.3 km from the intersection and traveling at 70 km/h. How fast is the distance between the cars changing at that moment? km/h
Physics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

102 km/h

Explanation:

x = distance of car A at any time from the intersection

x₀ = distance of car A at some time = 0.4 km

v_{A} = Speed of car A = 75 km/h

y = distance of car B at any time from the intersection

y₀ = distance of car B at some time = 0.3 km

v_{B} = Speed of car B = 70 km/h

d = distance between the two cars at any time

d₀ = distance between the two cars at some time

v = rate of change of distance between the cars

Using Pythagorean theorem

d²₀ = x₀² + y₀²

d²₀ = 0.4² + 0.3²

d₀ = 0.5 m

Distance between the two cars at any time is given using Pythagorean theorem as

d² = x² + y²

Taking derivative both side relative to "t"

2d \left ( \frac{dd}{dt} \right ) = 2x ( \frac{dx}{dt} \right ) + 2y ( \frac{dy}{dt} \right )

d_{o} v = x_{o} ( \frac{dx}{dt} \right ) + y_{o} ( \frac{dy}{dt} \right )

(0.5) v = (0.4) v_{A} + (0.3) v_{B}

(0.5) v = (0.4) (75) + (0.3) (70)

v = 102 km/h

You might be interested in
An electromagnetic wave has a frequency of 5.0 x 1014 Hz. What is the
andrezito [222]

Answer:

c

Explanation:

wavelength = speed of light/ frequency

= (3x 10^8 m/s)/(5.0 x 10^14 Hz)

= 6.0 x 10^-7 m

5 0
2 years ago
Which best describes a major characteristic of both volcanoes and earthquakes? they are centered at the poles?
Arturiano [62]
<span>A major characteristic of both volcanoes and earthquakes is that they are located in the same geographic area. Most earthquakes are along the edges of tectonic plates. This is where most volcanoes are too. Most earthquakes directly beneath a volcano are caused by the movement of magma.</span>
6 0
3 years ago
A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 18.5 kg, and the
meriva

Answer:

a.2.86 m/s^2

b.1058 N

Explanation:

We are given that

Mass of each dog,M=18.5 kg

Mass of sled with rider,m=250 kg

a.Average force,F=185 N

\mu_s=0.14

g=9.8 m/s^2

By Newton's second law

8F-f=(8M+m)a

a=\frac{8F-f}{8M+m}=\frac{8(185)-(0.14)(9.8)(250)}{8(18.5)+250}

a=2.86 m/s^2

b.By Newton's second law

T=ma+\mu_s mg

Substitute the values

T=250\times 2.86+0.14(250)(9.8)=1058 N

Hence, the force in the coupling between the dogs and the sled=1058 N

8 0
3 years ago
Not sure if it went through last time. Please help asap!
Olin [163]
The equation for force is F=ma. Because we have the value of mass (0.42 kg) and the acceleration (14.8 m/s^2), simply plug them into the equation for force to get
0.42 \times 14.8 = 6.22
The answer is 6.22 N because newtons are the unit used to measure force.
8 0
3 years ago
Read 2 more answers
You have designed a machine that requires 1000 J of work from a motor for every 800 J of useful work done by the machine. What i
valentinak56 [21]

Answer:

80%

Explanation:

efficiency =   \frac{useful \: work \: done}{total \: energy \: input}

800 / 1000 = 0.8

Efficiency = 0.8 *100 = 80%

4 0
1 year ago
Other questions:
  • 14. the sun's layer is called the photosphere . A. true . . b. false . . 15. meteoroids can form when comets break apart , creat
    12·1 answer
  • Chose the word that correctly completes the following sentence: Kirchoff's junction law expresses the conservation of ____. a) m
    15·1 answer
  • Tamika looks out a clear glass window on a sunny day. Which best explains why Tamika can see outside when she looks at the windo
    11·2 answers
  • How much work must be done in the car to slow it from 100km/h to 50km/h
    15·1 answer
  • A roller coaster car moving at a velocity of 30 meters/second has a momentum of 2.5 _ 104 kilogram meters/second. What is its ma
    15·1 answer
  • How much work must be done to raise a 1100kg car 2m above the ground?​
    15·2 answers
  • HELP PLEASEEEEEEEEEEE
    6·1 answer
  • Enumera las funciones del Estado​
    11·1 answer
  • Water vapor is an example of a(n)
    6·1 answer
  • A football player kicks a ball with an initial velocity of 15 m/s at an angle of 43° above the horizontal. Approximately,
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!