HomeworkLib
Question

6. The sides of a right triangle are measured to be a = 7.80 ± 0.02...

6. The sides of a right triangle are measured to be a = 7.80 ± 0.02 cm and b = 6.40 ± 0.02 cm. Determine the length of the hypotenuse of the triangle (given by ?^2 +?^2 = ?^2) and the uncertainty in the length. (Hint: you need to use the derivative equation to find the uncertainty.)

7. If you drive 146 miles in a time of 3.25 hours, what is your average speed in km/h and m/s? How long would it take to travel an additional 175 km at this average speed?

science   physics   
0 0
Add a comment Improve this question
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Sign Up to Unlock the answer FREE

Already have an account? Log in

6) Given,

A =  7.80 ± 0.02 cm

B = 6.40 ± 0.02 cm

\DeltaA2 / A2 = \DeltaA / A + \DeltaA / A

\DeltaA2 / A2 = 0.02 / 7.80 + 0.02 / 7.80

\DeltaA2 / A2 = 0.005128

\DeltaA2 = 0.005128 A2

Similarly

\DeltaB2 / B2 = \DeltaB/ B + \DeltaB / B

\DeltaB2 / B2 = 0.02 / 6.40 + 0.02 / 6.40

\DeltaB2 = 0.00625 B2

Therefore,

A2 = 60.84 +/- 0.31198 cm2

B2 = 40.96 +/- 0.256 cm2

Now,

C2 = A2 + B2

C2 = 101.8 +/- 0.56798 cm2

fractional uncertainty in C2 is

\DeltaC2 / C2 = 0.56798 / 101.8

\DeltaC2 / C2 = 0.005579

\DeltaC / C = 0.0027895

\DeltaC = 0.0027895 * 10.089

\DeltaC = 0.028145

Therefore,

C = 10.089 +/- 0.02814

-----------------------------------------------------------------------------------------------------------------

7) 1 mile = 1.60934 km

so,

146 miles = 234.964 km

so,

average speed = 234.964 / 3.25

average speed = 72.296 Km/h

In miles/sec

average speed = 146 / 11700 = 0.0125 miles / sec

time taken to travel additional 175 km

time = distance / speed

time = 175 / 72.296

time = 2.42 hours

0 0
Add a comment
Know the answer?
Add Answer to:
6. The sides of a right triangle are measured to be a = 7.80 ± 0.02...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 5. A cylinder has a mass of 10.0 ± 0.1 g, a height of 5.00 ±...

    5. A cylinder has a mass of 10.0 ± 0.1 g, a height of 5.00 ± 0.01 cm, and a radius of 4.00 ± 0.01 mm. Calculate the density, including uncertainty, in kg/m^3. 6. The sides of a right triangle are measured to be a = 7.80 ± 0.02 cm and b = 6.40 ± 0.02 cm. Determine the length of the hypotenuse of the triangle (given by ?^2 +?^2 = ?^2) and the uncertainty in the length. (Hint: you...

  • a right-angle triangle having two sides measured AB= 4+-0.1cm and BC= 6+-0.2cm. What is the uncertainty...

    a right-angle triangle having two sides measured AB= 4+-0.1cm and BC= 6+-0.2cm. What is the uncertainty measured in the hypotenuse AC?

  • 1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation poin...

    1. An airplane if flying horizontally at a constant height of 6 km above a fixed observation point. At a certain moment the angle of elevation θ is 30° and decreasing and the speed of the plane is 4 km/h. (a) How fast is 0 decreasing at this moment? (b) How fast is the distance between the plane and the observation point is changing at this moment? 2. Trajectory of a particle is described by parametrical equations as t,y P,...

  • 10. [-12 Points) DETAILS SERCPWA11 2.WA.008. A car moves in a stra ght line at 24.0...

    10. [-12 Points) DETAILS SERCPWA11 2.WA.008. A car moves in a stra ght line at 24.0 m/s for 12.0 miles, then at 30.0 m/s for another 12.0 miles. (a) is the car's average speed less than, greater than, or equal to 27.0 m/s? less than 27.0 m/s equal to 27.0 m/s greater than 27.0 m/s (b) Calculate the car's average speed. (Enter your answer to three significant figures.) m/s MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 4. (-12 points) DETAILS...

  • Just need answer I walking eastbound till I walk 8 miles, then charge my direction to...

    Just need answer I walking eastbound till I walk 8 miles, then charge my direction to north and continued to walk till I walk another 6 miles. So my position with reference to the initial point is (a) 8 miles (b) 10 miles (c) 12 miles (d) 14 miles The average speed of an auto (in ft/s) travelling 200 miles northbound in 5 hours, is approximately (a) 59 (b) 68 (c) 47 (d) 76 The average speed (in mi/hr) of...

  • urgent!!! please help!! will rate highly!!

    If you have a music CD collection of about 150 disks, estimate theorder of magnitude of the number of heartbeats you would have ifyou listened all the way through yourcollection. (a) 10^6 (b) 10^8(c) 10^10 (d) 10^4 (e) 10^3A car and a truck, starting from rest, have the same acceleration,but the truck accelerates for twice the length of time. Compared with the car, the truck willtravel (a) twice as far (b)three times as far (c) 1.4 times as far (d)...

  • 7. How many oranges in $0.20/lb? O n the average, there are three oranges per the...

    7. How many oranges in $0.20/lb? O n the average, there are three oranges per the average,there ir the price of a crate is $1.60 and the price of oranges is 8. You're ht eat 4 slices. You call up the t each pizza will cost you $14.78 and will be cut into 12 slices. You tell throwing a pizza party for 15 and estimate each person mig pizza place and learn that pizza them you'll call back. How many...

  • could you please answer all questions. like and comment are rewarded. 1. An electron decays from...

    could you please answer all questions. like and comment are rewarded. 1. An electron decays from its first excited state to its ground state in a 1-dimensional infinite square well of width 5.0 nm, emitting a photon. Calculate the wavelength of the photon. 2. A water turbine with diameter 40 cm is driven by a flow with constant speed. The turbine is fully immersed in the flow, and the generator driven by the turbine con- verts the energy of the...

  • show all calculations and do all parts of the question. Externalities II [Warning, this problem is...

    show all calculations and do all parts of the question. Externalities II [Warning, this problem is an enhanced version of a negative externality problem. While I break it down into a series of short steps, it still may take a long time to figure out. Budget accordingly. Don’t skimp on your graph. Your picture will hopefully help you understand what is going on.] High levels of automobile traffic in big cities are incredibly costly to society. Time spent idling in...

  • Externalities II [Warning, this problem is an enhanced version of a negative externality problem. While I...

    Externalities II [Warning, this problem is an enhanced version of a negative externality problem. While I break it down into a series of short steps, it still may take a long time to figure out. Budget accordingly. Don’t skimp on your graph. Your picture will hopefully help you understand what is going on.] High levels of automobile traffic in big cities are incredibly costly to society. Time spent idling in a car is time that could probably have been spent...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
Earn Money sponsor

Contribute Homework Answers
($1+ Per Post)

ADVERTISEMENT
ADVERTISEMENT