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
disa [49]
3 years ago
7

A roller coaster car is going over the top of a 18-m-radius circular rise. at the top of the hill, the passengers "feel light,"

with an apparent weight only 50 % of their true weight.

Physics
2 answers:
Mashutka [201]3 years ago
8 0

The solution for this problem is:

If they feel 50% of their weight that means that the centripetal force is also 50% of their weight 1g - 0.5g = 0.5g 


Then 0.5* 9.8m/s² * 18m = 88.2 would be v² 

Then get the square root, the answer would be:
and v = 9.391 m/s is the answer.

ddd [48]3 years ago
7 0

The speed of roller coaster car is about 9.4 m/s

\texttt{ }

<h3>Further explanation</h3>

Centripetal Acceleration can be formulated as follows:

\large {\boxed {a = \frac{ v^2 } { R } }

<em>a = Centripetal Acceleration ( m/s² )</em>

<em>v = Tangential Speed of Particle ( m/s )</em>

<em>R = Radius of Circular Motion ( m )</em>

\texttt{ }

Centripetal Force can be formulated as follows:

\large {\boxed {F = m \frac{ v^2 } { R } }

<em>F = Centripetal Force ( m/s² )</em>

<em>m = mass of Particle ( kg )</em>

<em>v = Tangential Speed of Particle ( m/s )</em>

<em>R = Radius of Circular Motion ( m )</em>

Let us now tackle the problem !

\texttt{ }

<u><em>Complete Question:</em></u>

<em>A roller coaster car is going over the top of a 18-m-radius circular rise. at the top of the hill, the passengers "feel light," with an apparent weight only 50% of their true weight. How fast is the coaster moving?</em>

<u>Given:</u>

radius of circular motion = R = 18 m

weight of passengers = w

apparent weight of passengers = N = 50%w

<u>Asked:</u>

speed of roller coaster car = v = ?

<u>Solution:</u>

\Sigma F = m \frac{v^2}{R}

w - N = m \frac{v^2}{R}

w - 50\% w = m \frac{v^2}{R}

50\% w = m \frac{v^2}{R}

50\% mg = m \frac{v^2}{R}

\frac{1}{2} g = \frac{v^2}{R}

v^2 = \frac{1}{2} gR

v = \sqrt { \frac{1}{2} g R }

v = \sqrt { \frac{1}{2} \times 9.8 \times 18}

v = \frac{21}{5} \sqrt{5} \texttt{ m/s}

\boxed{v \approx 9.4 \texttt{ m/s}}

\texttt{ }

<h3>Learn more</h3>
  • Impacts of Gravity : brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
  • The Acceleration Due To Gravity : brainly.com/question/4189441

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Circular Motion

You might be interested in
An proton moves with a velocity of bold v with bold rightwards harpoon with barb upwards on top equals open parentheses 5.00 spa
exis [7]

Answer:

2.64*10^-18 N

Explanation:

You have the following vectors:

\vec{v}=5.00\hat{i}-6.00\hat{j}+1.00\hat{k}\\\\\vec{B}=1.00\hat{i}+2.00\hat{j}-1.00\hat{k}

The magnitude of the magnetic force is given by the following equation:

|\vec{F_B}|=q|\vec{v}\ X\ \vec{B}|

Thus, you calculate the cross product between v and B (for example with the determinant method) and you obtain:

\vec{v}\ X\ \vec{B}=4\hat{i}-\hat{j}+16\hat{k}

Finally the magnitude of the force will be:

|\vec{F_B}|=(1.6*10^{-19}C)\sqrt{(4)^2+(-1)^2+(16)^2}N=2.64*10^{-18}N

then, the magnetic force is 2.64*10^-18 N

4 0
3 years ago
Need some help !!!!!!!!!
Yuri [45]

Answer:

B. electromagnetic waves

4 0
3 years ago
Read 2 more answers
Which separation method would be most successful in separating the components of a homogeneous mixture? screening evaporation ce
ohaa [14]
Filtering the homogeneous mixture to get the materials out and boil away any water
3 0
3 years ago
Read 2 more answers
A straight trail with a uniform inclination of 15 degrees leads from a lodge at an elevation of 600 feet to a mountain lake at a
9966 [12]

Answer:

The length of the trail = 22796 ft

Explanation:

From the ΔABC

AC = length of the trail = x

AB = 6100 - 600 = 5500 ft

Angle of inclination \theta = 15°

\sin \theta = \frac{AB}{AC}

\sin 15 = \frac{5900}{x}

x = \frac{5900}{0.2588}

x = 22796 ft

Since x = AC = Length of the trail.

Therefore the length of the trail = 22796 ft

7 0
3 years ago
Goldie Doldfish, a speed swimmer, loves to rece around the parks pond, which is 0.5 miles around. If she can swim around the tra
rosijanka [135]

Answer:

Her average speed is 0.25 miles / hour.

Explanation:

I did 0.5 divided by 2 = 0.25 miles / hour.

<em>Hope this helps! :)</em>


8 0
3 years ago
Other questions:
  • Which elements will bond ionically with barium such that the formula would be written as BaX2?
    9·2 answers
  • What is one of the causes of daily variations in temperature on a planet’s surface?
    6·1 answer
  • A closely wound rectangular coil of 75.0 turns has dimensions of 22.0 cm by 45.0 cm . The plane of the coil is rotated from a po
    6·1 answer
  • 10POiNTS!!! SPACE QUESTION!
    8·1 answer
  • Condensation is the process of ____________________.
    14·1 answer
  • An object has k.e. of 10J at a certain instant. If it is acted on by an opposing force of 5N, which of the number A to E below i
    5·1 answer
  • A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 10.0 min
    13·1 answer
  • Please Help Me!!!
    7·1 answer
  • What is the frequency of the fundamental mode of vibration of a steel piano wire stretched to a tension of 440 N? The wire is 0.
    12·1 answer
  • What are 5 examples of expansion and contraction? What are their benefits?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!