Calculating Distance & Acceleration of Car Pulling 20,000lbs

  • Thread starter Thread starter ganon00
  • Start date Start date
  • Tags Tags
    Stuck
AI Thread Summary
A car pulling 20,000 pounds accelerates uniformly from rest to 40 miles per hour in 12 seconds. The distance traveled during this time is calculated to be 480 feet, which converts to 0.09 miles. For constant acceleration, the formula a = Δv/Δt is applicable, where the velocity change should be converted to consistent units, preferably meters per second. Participants emphasize the importance of unit conversion, noting that using feet and miles can complicate calculations. Accurate calculations require attention to unit consistency and proper conversion methods.
ganon00
Messages
15
Reaction score
0
a car pulling 20,000pounds accelerate uniformly from a rest to a speed of 40 miles/hour in 12 seconds

(a) find the distance (infeet AND miles) that the car travels during this time

(b) find the constant acceleration in ft/s^2 of the car

part a i get 480 feet is this correct i then divide it by 5280 to get it in miles

then i finding the constant acceleration

do i do a=delta(v)/delta(t)
 
Physics news on Phys.org
For part a) how did you end up getting feet first? Your velocity was given in miles, so any formula you use involving vecocity should use miles somewhere. Unless you convert from miles to feet beforehand, which is just extra work for yourself because you will have to convert it back to miles afterwords (as they ask for an answer in miles too).

I don't actually use miles and feet (I use Kilometers and meters), so if you'd like me to check your answer you're going to have to show your work. 1 feet = how many miles? 1 mile = how many feet? I think your teacher/professor wants you to actually be able to figure it out, instead of memorizing 52.. whatever.
 
Last edited:
a is asking for both feet and miles, so i guess your learning conversion units. For the constant acceleration, it is dv/dt, so it should be v-v0/12-0
but remmeber acceleration should be in m/s^2 not miles/hour
convert them.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top