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
zaharov [31]
3 years ago
15

A racetrack has the shape of an inverted cone, as the drawing shows. On this surface the cars race in circles that are parallel

to the ground. For a speed of 34.0 m/s, at what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction?
Physics
1 answer:
sergey [27]3 years ago
3 0

Answer:

The value of d is 183.51 m.

Explanation:

Given that,

Speed of car = 34.0 m/s

Suppose The car race in the circle parallel to the ground surface is at an angle 40°

The radius of circular path r = d\cos\theta

Normal force acting on the car = N

We need to calculate the value of d

Using component of normal force

The horizontal component of normal force is equal to the gravitational force.

N\cos\theta=mg....(I)

The vertical component of normal force is equal to the centripetal force

N\sin\theta=\dfrac{mv^2}{r}.....(II)

Divided equation (I) by equation (II)

\tan\theta=\dfrac{v^2}{gr}

Put the value of g

\tan\theta=\dfrac{v^2}{g\times d\cos\theta}

v^2=\tan\theta\times g\times d\cos\theta

v^2=g\times d\sin\theta

d=\dfrac{v^2}{g\sin\theta}

Put the value into the formula

d=\dfrac{(34.0)^2}{9.8\times\sin40}

d=183.51\ m

Hence, The value of d is 183.51 m.

You might be interested in
Describe what happens to the gravitational force when the Sun, Earth and Moon<br> are in a line.
Lorico [155]

Answer:

a spring tide occurs

Explanation:

ithe gravitational pull makes that tide happen

8 0
3 years ago
What is meant by input and output work​
N76 [4]

Answer:

the x and y values

Explanation:

because on the table the x is the input and y is the output

5 0
2 years ago
What is the reflectivity of a glass surface (n =1.5) in air (n = 1) at an 45° for (a) S-polarized light and (b) P-polarized ligh
Goshia [24]

Answer:

a) R_s = 0.092

b) R_p = 0.085

Explanation:

given,

n =1.5 for glass surface

n = 1 for air

incidence angle = 45°

using Fresnel equation of reflectivity of S and P polarized light

R_s=\left | \dfrac{n_1cos\theta_i-n_2cos\theta_t}{n_1cos\theta_i+n_2cos\theta_t} \right |^2\\R_p=\left | \dfrac{n_1cos\theta_t-n_2cos\theta_i}{n_1cos\theta_t+n_2cos\theta_i} \right |^2

using snell's law to calculate θ t

sin \theta_t = \dfrac{n_1sin\theta_i}{n_2}=\dfrac{sin45^0}{1.5}=\dfrac{\sqrt{2}}{3}

cos \theta_t =\sqrt{1-sin^2\theta_t} = \dfrac{sqrt{7}}{3}

a) R_s=\left | \dfrac{\dfrac{1}{\sqrt{2}}-\dfrac{1.5\sqrt{7}}{3}}{\dfrac{1}{\sqrt{2}}+\dfrac{1.5\sqrt{7}}{3}} \right |^2

R_s = 0.092

b) R_p=\left | \dfrac{\dfrac{\sqrt{7}}{3}-\dfrac{1.5}{\sqrt{2}}}{\dfrac{\sqrt{7}}{3}+\dfrac{1.5}{\sqrt{2}}} \right |^2

R_p = 0.085

3 0
3 years ago
Oil having a density of 922kg/m^3 floats on water. A rectangular block of wood 3.97 cm high and with a density of 963 kg/m^3 flo
Blizzard [7]

Explanation:

For the equilibrium:

\rho_{wood}gh-\rho_{oil}g(h-x)-\rho_{water}gx=0ρ

wood

gh−ρ

oil

g(h−x)−ρ

water

gx=0

\rho_{wood}h-\rho_{oil}(h-x)-\rho_{water}x=0ρ

wood

h−ρ

oil

(h−x)−ρ

water

x=0

(974)(3.97)-928(3.97-x)-1000x=0(974)(3.97)−928(3.97−x)−1000x=0

x=2.54\ cmx=2.54 cm

3 0
2 years ago
What are parts of a pulley
PtichkaEL [24]
Wheel, axel and rope
3 0
2 years ago
Other questions:
  • Which is a renewable energy resource?<br><br><br> coal<br> petroleum<br> wind<br> natural gas
    5·2 answers
  • True of false all matter requires it’s own space
    5·1 answer
  • How does the process of photosynthesis benefit humans? plz explain
    13·2 answers
  • Coal as a fuel source led to the invention of
    11·1 answer
  • The helicopter in the drawing is moving horizontally to the right at a constant velocity. The weight of the helicopter is W=4250
    15·1 answer
  • A 12 kg block is at rest on a level floor. A 417 g glob of putty is thrown at the block such that it travels horizontally, hits
    7·1 answer
  • Quentin is a crime scene investigator. He believes a violent crime may have occurred in the bedroom of an apartment but he sees
    6·1 answer
  • Someone plz help me with this problem!!!
    10·1 answer
  • Identify at least two ways in which heavy rain can affect the efficiency of
    6·1 answer
  • How is velocity and momentum related?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!