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
elena-14-01-66 [18.8K]
2 years ago
8

A 2000 kg car moving at 100 km/h crosses the top of a hill with a radius of curvature of 100 m. What is the normal force exerted

by the seat on the driver if the mass of the driver is 60 kg?
Physics
1 answer:
Tpy6a [65]2 years ago
6 0

Answer:

The normal force the seat exerted on the driver is 125 N.

Explanation:

Given;

mass of the car, m = 2000 kg

speed of the car, u = 100 km/h = 27.78 m/s

radius of curvature of the hill, r = 100 m

mass of the driver, = 60 kg

The centripetal force of the driver at top of the hill is given as;

F_c = F_g - F_N

where;

Fc is the centripetal force

F_g is downward force due to weight of the driver

F_N is upward or normal force on the drive

F_N = F_g-F_c\\\\F_N = mg - \frac{mv^2}{r} \\\\F_N = (60 \times 9.8) -\frac{60 \ \times \ 27.78^2 \ }{100} \\\\F_N = 588 \ N - 463 \ N\\\\F_N = 125 \ N

Therefore, the normal force the seat exerted on the driver is 125 N.

You might be interested in
What is the mass of an 291pound persond
Luden [163]
Well, it also depends on the height... but say if they were 5'3" and 291 pounds...
their BMI would be

51.55
4 0
3 years ago
Two strings with linear densities of 5 g/m are stretched over pulleys, adjusted to have vibrating lengths of 0.50 m, and attache
HACTEHA [7]

Answer:

2.18 kg

Explanation:

The frequency of a wave in a stretched string f = n/2L√(T/μ) where n = harmonic number, L = length of string, T = tension = mg where m = mass of object on string and g = acceleration due to gravity = 9.8 m/s² and μ = linear density of string.

For string 1, its fundamental frequency f  is when n = 1. So,

f = 1/2L√(T/μ) =  1/2L√(mg/μ)

Now for string 1, L = 0.50 m, m = 20 kg and μ = 5 g/m = 0.005 kg/m

substituting the values of the variables into f, we have

f = 1/2L√(mg/μ)

f = 1/2 × 0.50 m√(20 kg × 9.8 m/s²/0.005 kg/m)

f = 1/1 m√(196 kgm/s²/0.005 kg/m)

f = 1/1 m√(39200 m²/s²)

f = 1/1 m × 197.99 m/s

f = 197.99 /s

f = 197.99 Hz

f ≅ 198 Hz

For string 2, at its third harmonic frequency f'  is when n = 3. So,

f' = 3/2L√(T/μ) =  3/2L√(mg/μ)

Now for string 2, L = 0.50 m, m = M kg and μ = 5 g/m = 0.005 kg/m

substituting the values of the variables into f, we have

f' = 3/2L√(Mg/μ)

f' = 3/2 × 0.50 m√(M × 9.8 m/s²/0.005 kg/m)

f' = 3/1 m√(M1960 m²/s²kg)

f' = 3/1 m√M√(1960 m²/s²kg)

f' = 3/1 m √M × 44.27 m/s√kg

f' = 132.81√M/s√kg

f' = 132.81√M Hz/√kg

Since the frequency of the beat heard is 2 Hz,

f - f' = 2 Hz

So, 198 Hz - 132.81√M Hz/√kg = 2 Hz

132.81√M Hz/√kg = 198 Hz - 2 Hz

132.81√M Hz/√kg = 196 Hz

√M Hz/√kg = 196 Hz/138.81 Hz

√M/√kg = 1.476

squaring both sides,

[√M/√kg] = (1.476)²

M/kg = 2.178

M = 2.178 kg

M ≅ 2.18 kg

8 0
3 years ago
Why is it important for professionals in any field to be accurate and precise with their data collection??
kobusy [5.1K]

Answer:When prfessionals take data collections its important becasue it can cause error. Lets say they are sloppy with thier work and end up getting something that is not near what should be happening. This can have a major affect on the truth of what they are doing and an effect on thier end result in general.

Explanation:

6 0
3 years ago
Read 2 more answers
Series circuits are characterized by the fact that there is a single pathway by which charge can travel. True or false?
Ulleksa [173]
I Think Its True My  Dude Or Dudette
.
Hope this helps
.
Zane
6 0
3 years ago
Read 2 more answers
The star nearest to our Sun is called Proxima Centauri. It has a surface temperature of approximately 3000 Kelvin and a luminosi
rusak2 [61]

Ummmm is there any options?

3 0
3 years ago
Read 2 more answers
Other questions:
  • What will be the time period of simple pendulum at the center of earth​
    14·1 answer
  • What is the total displacement of a bee that flies 2 meters east, 5 meters north, and 3 meters east? explain how you did it
    11·1 answer
  • A desk was moved 12 m using 280 j of work. how much force was used to move the desk?
    10·1 answer
  • I WILL MAKE YOU BRAINLIEST! PLEASE PROVIDE PROOF FROM K12. ASAPHURRY IS ALWAYS WELCOME TO ANSWER MY QUESTIONS SHE IS THE BEST. t
    7·1 answer
  • Igneous rocks are formed from _____.
    15·1 answer
  • What is an issue involving the legal system that is currently getting a lot of attention in Florida? What is your opinion on the
    13·1 answer
  • The magnetic field around a long, straight wire is:
    10·2 answers
  • After a short time, the moving sled with the child aboard reached a rough level surface that exerts a constant frictional force
    8·2 answers
  • 3. 500ml of 60oC water at is added to a beaker. Water’s specific heat is 4.186 J/g °C. You have 40ml of and unknown substance th
    7·1 answer
  • Which common characteristic of planets do Saturn and Earth share?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!