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Motion

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Submitted By AMMCG
Words 2355
Pages 10
Question 1
A Boeing 767-200 pasenger jet has a cruising speed of 870 km hr-1 at an altitude of 11900 m.
At this cruising speed, its two General Electric CF6-80A engines exert a combined thrust of
390 kN. The frictional force of the air opposing the motion of the plane is
A. 0 kN
B. 390 kN
C. 870 kN
D. 1260 kN

The following information refers to questions 2 to 10 inclusive.
The circus has come to town and the principal attraction is Cleo, the human cannonball. There is a large compressed spring at the base of the cannon as illustrated below. It is this spring that will propel Cleo out of the cannon through the air to the safety net. The force-compression graph for the spring is also shown. [pic]
[pic]

Question 2
What is the spring constant for the spring inside the cannon?

Question 3
How much energy is stored in the spring when it is fully compressed by 8.0 m'?

Question 4
Cleo has a mass of 50 kg. Calculate Cleo's velocity just as she leaves the mouth of the cannon, assuming that the spring has transferred all of its energy to Cleo at this point.

Question 5
The length of the cannon is 8.0 m. What is the net average force exerted on Cleo while she is travelling through the cannon?

Question 6
What is Cleo's average acceleration while she is travelling through the cannon?

The cannon makes an angle of 450 with the horizontal as shown in the diagram below.
[pic]
Question 7
How far (horizontally) from the mouth of the cannon must the centre of the safety net be placed to catch Cleo? Assume zero air resistance. You may also assume that the height of the safety net is exactly the same as the mouth of the cannon. Take g = 10 ms-2.

Question 8
Calculate the magnitude and direction of Cleo's momentum just before she lands in the safety net.

Question 9
The firing of the human cannonball is successful. The crowd shouts with relief

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