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
Lelechka [254]
3 years ago
10

Two cars drive on a straight highway. At time t=0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s. At th

e same time, car 2 is 1.2 km east of mile marker 0 traveling at 30.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 0.10 m/s^2 , and car 2 is slowing down with an acceleration of magnitude 0.30 m/s^2. At what time do the cars pass next to one another?
Physics
1 answer:
Aleks04 [339]3 years ago
6 0

Answer:

The cars pass next to one another after 25.28 s.

Explanation:

When the cars pass next to one another, the position of both cars is the same relative to the center of the system of reference (marker 0 in this case). Then:

Position of car 1 = position of car 2

The position of an accelerating object moving in a straight line is given by this equation:

x = x0 +v0 t +1/2 a t²

where

x = position at time t

x0 = initial position

v0 = initial speed

t = time

a = acceleration

If the position of car 1 = position of car 2 then:

0 km + 20.0 m/s * t + 1/2 * 0.10 m/s² * t² = 1.2 km - 30.0 m/s * t + 1/2 * 0.30 m/s² * t²

Note that the acceleration of car 2 has to be positive because the car is slowing down and, in consequence, the acceleration has to be opposite to the velocity. The velocity is negative because the direction of car 2 is towards the origin of our system of reference. Let´s continue:

0 km + 20.0 m/s * t + 1/2 * 0.10 m/s² * t² = 1.2 km - 30.0 m/s * t + 1/2 * 0.30 m/s² * t²

1200 m - 50.0 m/s * t + 0.10 m/s² * t² = 0

Solving the quadratic equation:

t = 25.28 s

t = 474. 72 s We discard this value because, if we replace it in the equation of the position of car 2, we will get a position of 20762 m, which is impossible because the position of car 2 can´t be greater than 1200 m.

Then, the cars pass next to one another after 25.28 s  

You might be interested in
The steps taken in scientific studies often follow similar patterns. which answer correctly describes the order in which the ste
scZoUnD [109]
OPTION A WOULD BE YOUR ANSWER
7 0
3 years ago
Read 2 more answers
Most of the Earth's volcanoes occur
timofeeve [1]

Answer:

A.

Explanation:

NEAR THE CENTER OF TECTONIC PLATES.

3 0
2 years ago
What if the Earth was moved out to Jupiter's orbit which is about 5
Stels [109]

Answer:

25.0 less force

Explanation:

4 0
3 years ago
A falling raisin will have<br> whale. (more/less)<br> momentum than a falling blue
Natalka [10]

Answer:less

Explanation:thats the answer

3 0
2 years ago
An asteroid orbiting the Sun has a mass of 4.00×1016 kg. At a particular instant, it experiences a gravitational force of 3.14×1
Ksivusya [100]
<h2>The asteroid is 4.11 x 10¹¹ m far from Sun</h2>

Explanation:

We have gravitational force

                 F=\frac{GMm}{r^2}

           Where G =  6.67 x 10⁻¹¹ N m²/kg²

                       M = Mass of body 1

                       M = Mass of body 2

                       r = Distance between them

Here we have

                 M = Mass of Sun = 1.99×10³⁰ kg

                 m = Mass of asteroid = 4.00×10¹⁶ kg

                 F = 3.14×10¹³ N

Substituting

                   F=\frac{GMm}{r^2}\\\\3.14\times 10^{13}=\frac{6.67\times 10^{-11}\times 1.99\times 10^{30}\times 4\times 10^{16}}{r^2}\\\\r=4.11\times 10^{11}m

The asteroid is 4.11 x 10¹¹ m far from Sun

3 0
3 years ago
Other questions:
  • Which of the following is not a step in the inquiry process?
    6·2 answers
  • Explain why the moon appears to go through a cycle of phases.
    15·1 answer
  • A pulley can be thought of as an inclined plane wrapped around a cylinder
    11·1 answer
  • Runner A is initially 5.7 km west of a flagpole and is running with a constant velocity of 8.9 km/h due east. Runner B is initia
    15·1 answer
  • What is the ability to complete extended periods of physical activity?
    11·2 answers
  • A slingshot fires a pebble from the top of a building at a speed of 16.0 m/s. The building is 27.0 m tall. Ignoring air resistan
    14·1 answer
  • A positively charged particle 1 is at the origin of a Cartesian coordinate system, and there are no other charged objects nearby
    13·1 answer
  • 14. If 100 grams of sodium nitrate are dissolved in 100 grams of water
    5·1 answer
  • Current is a measure of…
    6·1 answer
  • What is the chemical formula for magnesium sulfide?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!