A sports car of mass 1000 kg can accelerate from rest to 72.
km/h in 6.6 s.
a) What would the average force of the car's engine be?
b) If the same force acts on 2000 kg car what is the
acceleration.
Some cars take 10 seconds to accelerate 100 km/h while stationary.
Assuming the vehicle's speed is constant, find the acceleration of
this vehicle and the mileage for 10 seconds.
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Samples of n = 5 units are taken from a process every hour. The
x-bar and R-bar values for a particular quality characteristic are
determined. After 25 samples have been collected, we calculate
x-bar = 20 and R-bar = 4.56. a) What are the three-sigma control
limits for x-bar and R? b) Both charts exhibit control. Estimate
the process standard deviation. c) Assume that the process output
is normally distributed. If the specifications are 19 ± 5, what are
your...
A Honda N Box car is traveling on the highway at 70 mph (112.6
km/hr). It is a nice summer day with no breeze and the temperature
outside is 77F (25C, density = 1.184 kg/m^3, kinematic viscosity =
1.562*10^-5 m^2/s). The roof of the N Box car is 1478 mm wide and
3395 mm long.
Determine how far above the car a bug must fly in order to NOT
be affected by the passing car (unit: meters) **accurate to 3...
1) a car of mass 999 kg traveling at 72.0 km/hour enters a
flat(non-banked) and dry curve of radius 97.4 m. What is the
coefficient of static friction between the tires and the road
required to prevent the car from slipping ?
2) Shirin pushes a 27.1 kg crate a distance of 8.65 m along a
level floor at constant velocity by pushing downward at an angle of
32.0 below the horizontal. The coefficient of kinetic friction
between the crate...
Usain Bolt can run the 100 meters in under 10 seconds. Let's say
he weighs 200lb, give or take. Estimate his wavelength during a 100
meter race. Given your answer, is the wave-like nature of Usain
Bolt observable? Will it play an important role in a 100m race?
1.a) What is the (average) power needed to accelerate a car of
mass m=1550 kg from zero to 60 mph in 7.1 s?
b) Which simplifications did you make in that short calculation,
i.e. what did you neglect?
2.The current BC hydro rates are 6.55 cents per kWh. If you have
a desktop computer that uses 200 W (on average), how much does it
cost you per month to run it for 6 hours per day?
3.
An elevator car...
2. A world class runner can run long distances at a pace of 15
km/hour. That runner expends 800 kilocalories of energy per
hour.
a. Find the power (in Watts [W]) the runner is exerting while
running. (3 points
b) Find the total energy (in Joules [J]) exerted by the runner
in a 15 km run.
c. How many Milky Way (Original Single 52.2g) chocolate bars
does the runner need to buy to supply the amount of energy to
complete...
Assume that your friend claims that he can run 20 km in less
than an hour and a professional sports team will recruit him after
graduation based on this outcome so he does not worry about his GPA
at the university. You would like to test this claim and take a
random sample of 34 runs this year and find that he averaged 58.2
minutes. Assume that the standard deviation of his runs is 8.5
minutes and it is normally...
McDonald’s makes the claim that it takes 90 seconds or less
from the time a car stops at the order point to delivery of an
order through the window. How can McDonald’s substantiate this
claim when drive-thru times vary?
How does McDonald’s quantify the uncertainty surrounding its
estimate of drive-thru service time?
How can the variability in drive-thru service times be
quantified? Why is it important to understand variability?
Why is it important for McDonald’s to effectively communicate
its statistical...