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# principles of physics

Problem 1

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Describe, in
detail, the motion of the man as represented in the graphs. You might find it
useful to visit the website and play with the simulation to get a feel for what
is going on,

start and end time for each part of the motion.

Give the overall displacement
of the man and the total distance he has travelled.

Problem 2

a) Evel Knievel became famous
for jumping over things on a motorbike. On March 25 1967 he did his first jump
for a TV sports channel and managed to clear 15 cars (90 feet). Assuming his
take-off angle was 45 degrees and air resistance was negligible (which it is
not) what would his velocity (m/s) have to be just before he left the take-off
ramp?

b)
On May 31, 1975 he performed his last jump at Wembley Stadium UK. He attempted
to jump over 13 busses and had to reach 90 miles per hour at the take-off to do
this. Unfortunately the take-off ramp was not long enough for him to achieve
this and he landed ”just shy” of the landing ramp breaking his pelvis again.
The big red London busses were 2.43m wide. If he had been able to reach his
desired speed what would his maximum height above the busses have been if you
could ignore air resistance?

c) It is not possible to ignore
air resistance. Compare the distance he wanted to cover in the real world with
the “theoretical” distance that could be covered if there was no air
resistance.

Problem 3

In my younger days I did a
little abseiling down the side of the school to demonstrate forces in
equilibrium for my physics students. At one point in the decent I would stop in
a position similar to the person in the picture in the link below. Draw a
free-body force diagram of the forces acting on this person.

Assume this person has a mass
of 72kg, they are half way down a 12m wall with the rope secured at the top of
the wall. What is the magnitude of the force between their feet and the wall?
What is the tension in the rope?

Problem 4

On a spring
day (temperature 20 C) a Toyota Prius (hybrid) is driving at the speed limit
along the freeway. It has a drag coefficient of 0.25 what drag force is it
experiencing? How much energy would be used in overcoming air resistance during

To your city? If the engine was
close to 100% efficient how much petrol would be used to overcome air
resistance during his drive?

.toyota.com.au/prius/specifications/prius”>http://www.toyota.com.au/prius/specifications/prius

.com/facts/2003/ArthurGolnik.shtml”>http://hypertextbook.com/facts/2003/ArthurGolnik.shtml

Problem 5

According to the Code of
Practice for the Victorian Main Line Network (2011) “Trains when shunting must
not exceed 15km/h” (http://www.artc.com.au/library/TA20_Section_12 .pdf section 10.(c)) and when shunting on an incline
“sufficient number of handbrakes must be applied to prevent the train or
vehicles running down the incline (Section 14(a)). There used to be a train
that ran from Midland up through Mundaring and on into the hills. The part of
the track between Mahogany Creek and Bellevue drops 280 m in 12 km if the
breaks were not applied and a carriage started rolling from Mahogany Creek down
to the bottom of the hill what acceleration would it have if you could ignore
air resistance? What speed would it have at the bottom of the hill? If the
signal operators were able to switch the points so that the run-away carriage
crashed into two other carriages at the bottom of the hill in an attempt to
stop it, what speed would the entanglement of carriages have in km/h?

line

.railwayreserves.com.au/onthetrail/Pages/Map.aspx”>http://www.railwayreserves.com.au/onthetrail/Pages/Map.aspx

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