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
stealth61 [152]
3 years ago
12

A car is traveling at a constant speed of 33 m/s on a highway. At the instant this car passes an entrance ramp, a second car ent

ers the highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.5 km away
Physics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

0.8712 m/s²

Explanation:

We are given;

Velocity of first car; v1 = 33 m/s

Distance; d = 2.5 km = 2500 m

Acceleration of first car; a1 = 0 m/s² (constant acceleration)

Velocity of second car; v2 = 0 m/s (since the second car starts from rest)

From Newton's equation of motion, we know that;

d = ut + ½at²

Thus,for first car, we have;

d = v1•t + ½(a1)t²

Plugging in the relevant values, we have;

d = 33t + 0

d = 33t

For second car, we have;

d = v2•t + ½(a2)•t²

Plugging in the relevant values, we have;

d = 0 + ½(a2)t²

d = ½(a2)t²

Since they meet at the next exit, then;

33t = ½(a2)t²

simplifying to get;

33 = ½(a2)t

Now, we also know that;

t = distance/speed = d/v1 = 2500/33

Thus;

33 = ½ × (a2) × (2500/33)

Rearranging, we have;

a2 = (33 × 33 × 2)/2500

a2 = 0.8712 m/s²

You might be interested in
Explain in detail what information can be learn about atoms of different elements by examining the periodic table . For the Maxi
raketka [301]

Answer:

We know the information about atomic size, energy, electronic configuration etc. of atom from the periodic table.    

Explanation:

  • Periodic table is the arrangement of elements that are arranged according to their properties and electronic configuration.
  • In periodic table, on furthest right side of the periodic table, noble gases like He, Ne, Ar etc are arranged.
  • The atomic number of element increases while moving from left towards right in the periodic table.
  • The metallic character of element decreases as we proceed the table towards right.
  • They readily accept electron to fill the valence shell hence becoming more metallic in character.  
5 0
3 years ago
Two forces, one of 100 ponds and the other 150 pounds act on the same object, at angles of 20°and 60°, respectively, withthe pos
soldi70 [24.7K]
<h2>Resultant is 235.54 pounds at an angle 44.16° to X axis.</h2>

Explanation:

Forces are 100 pound and 150 pound and angles with x axis are 20°and 60°.

That is force 1 is 100 pound with x axis at 20°

           F₁ = 100 cos 20 i  +  100 sin 20 j

           F₁ = 93.97 i  +  34.20 j          

That is force 2 is 150 pound with x axis at 60°

           F₂ = 150 cos 60 i  +  150 sin 60 j

           F₂ = 75 i  +  129.90 j  

F₁ +  F₂ =  93.97 i  +  34.20 j + 75 i  +  129.90 j

F₁ +  F₂ =  168.97 i  +  164.10 j

\texttt{Magnitude = }\sqrt{168.97^2+164.10^2}\\\\\texttt{Magnitude = }235.54pounds\\\\\texttt{Angle = }tan^{-1}\left ( \frac{164.10}{168.97}\right )\\\\\texttt{Angle = }44.16^0

Resultant is 235.54 pounds at an angle 44.16° to X axis.

6 0
3 years ago
What are the units for volume and/or mass? Please answer and explain clearly thanks!
Paul [167]
The units for mass are grams (g) and kilograms (kg)
the units for volume are millilitres (ml) and litres (l)
6 0
3 years ago
Create the following matrix H:
sladkih [1.3K]

Answer:

a) {[1.25  1.5  1.75  2.5  2.75]

    [35  30  25  20  15]  }

b) {[1.5  2  40]

    [1.75  3  35]

    [2.25  2  25]

    [2.75  4  15]}

Explanation:

Matrix H: {[1.25  1.5  1.75  2  2.25  2.5  2.75]

                [1  2  3  1  2  3  4]

                [45  40  35  30  25  20  15]}

Its always important to get the dimensions of your matrix right. "Roman Columns" is the mental heuristic I use since a matrix is defined by its rows first and then its column such that a 2 X 5 matrix has 2 rows and 5 columns.

Next, it helps in the beginning to think of a matrix as a grid, labeling your rows  with letters (A, B, C, ...) and your columns with numbers (1, 2, 3, ...).

For question a, we just want to take the elements A1, A2, A3, A6 and A7 from matrix H and make that the first row of matrix G. And then we will take the elements B3, B4, B5, B6 and B7 from matrix H as our second row in matrix G.

For question b, we will be taking columns from matrix H and making them rows in our matrix K. The second column of H looks like this:

{[1.5]

[2]

[40]}

Transposing this column will make our first row of K look like this:

{[1.5  2  40]}

Repeating for columns 3, 5 and 7 will give us the final matrix K as seen above.

4 0
3 years ago
A wave with a frequency of 500hz is traveling at a speed of 1000m/s whats the wavelength?
Nimfa-mama [501]
The answer would be 0.4m
4 0
2 years ago
Other questions:
  • An empty truck and a fully loaded truck are next to each other at the traffic light. When the light turns green the lighter truc
    15·1 answer
  • Shear stress created the San Andreas Fault in Southern California. It is an example of a _____.
    11·2 answers
  • Difference between potential energy and kinetic energy (ASAP)
    13·1 answer
  • Calculate the speed of a car that travels 355km in 15 hours , a good answer please
    5·2 answers
  • A scientist wants to calculate the kinetic energy of a cheetah as it chases down its prey. What does the scientist need to measu
    5·2 answers
  • Physics Question:<br> (ignore the part crossed in red) 14459688
    15·1 answer
  • Waves on a swimming pool propagate at 0.720 m/s. You splash the water at one end of the pool and observe the wave go to the oppo
    13·1 answer
  • A copper wire (density equal to 8900 kg / m3) 0.3 mm in diameter "floats" due to the force of the earth's magnetic field, which
    13·1 answer
  • A space probe is sent to an alien planet and conducts an experiment in order to determine the acceleration due to gravity on the
    7·1 answer
  • A simple pendulum with a length of 2 m oscillates on the Earth's surface. What is the period of oscillations?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!