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Home  >  My Assignments  >  assigment 6 (Homework) austin crumpton
College Physics Sec. A (752-02, 2005-2006
Instructor: Richard McCready
Scituate HS, MA
  About this Assignment
Due: Wednesday, January 11, 2006 11:42 PM EST

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Description
projectile motion & circular motion

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1. [GPhys02 7.PP.09.] A stone is thrown horizontally at a speed of 5.2 m/s from the top of a cliff 70.3 m high.
(a) How long does it take the stone to reach the bottom of the cliff?
s
(b) How far from the base of the cliff does the stone hit the ground?
m
(c) What are the horizontal and vertical components of the stone's velocity just before it hits the ground?
m/s (horizontal)
m/s (vertical)

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2. [GPhys02 7.PP.11.] A steel ball rolls with constant velocity across a tabletop 0.800 m high. It rolls off and hits the ground 0.285 m from the edge of the table. How fast was the ball rolling?
m/s

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3. [GPhys02 7.PP.12.] A player kicks a football from ground level with an initial velocity of 27.0 m/s, 30.0 above the horizontal, as shown in Figure 7-8. Find the ball's hang time, range, and maximum height. Assume air resistance is negligible. (Figure is not to scale.)
hang time
s
range
m
maximum height
m


Figure 7-8


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4. [GPhys02 7.PP.15.] A runner moving at a speed of 8.8 m/s rounds a bend with a radius of 22 m.
(a) What is the centripetal acceleration of the runner?
m/s2
(b) What agent exerts the force on the runner?

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5. [GPhys02 7.PP.16.] Racing on a flat track, a car going 34 m/s rounds a curve 60 m in radius.
(a) What is the car's centripetal acceleration?
m/s2
(b) What minimum coefficient of static friction between the tires and road would be needed for the car to round the curve without slipping?

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6. [GPhys02 7.41.P.] You take a running leap off a high-diving platform. You were running at 3.2 m/s and hit the water 2.9 s later. How high was the platform, and how far from the edge of the platform did you hit the water? Neglect air resistance.
m (height of platform)
m (distance from the edge of the platform)

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7. [GPhys02 7.42.P.] An arrow is shot at 32.0 above the horizontal. Its initial speed is 52 m/s and it hits the target.
(a) What is the maximum height the arrow will attain?
m
(b) The target is at the height from which the arrow was shot. How far away is it?
m

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8. [GPhys02 7.45.P.] An airplane traveling 1009 m above the ocean at 140 km/h is to drop a box of supplies to shipwrecked victims below.
(a) How many seconds before being directly overhead should the box be dropped?
s
(b) What is the horizontal distance between the plane and the victims when the box is dropped?
m

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9. [GPhys02 7.46.P.] Divers in Acapulco dive from a cliff that is 58 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear the rocks?
m/s

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10. [GPhys02 7.50.P.] An athlete whirls in a 7.35 kg hammer tied to the end of a 1.2 m chain in a horizontal circle. The hammer makes one revolution in 1.0 s.
(a) What is the centripetal acceleration of the hammer?
m/s2
(b) What is the tension in the chain?
N

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11. [GPhys02 7.51.P.] A coin is placed on a vinyl stereo record making 78 revolutions per minute.
(a) In what direction is the acceleration of the coin?

(b) Find the magnitude of the acceleration when the coin is placed 5.0, 10, and 13 cm from the center of the record.
m/s2 (5.0 cm)
m/s2 (10 cm)
m/s2 (13 cm)
(c) What force accelerates the coin?

(d) In which of the three radii listed in (b) would the coin be most likely to fly off? Why?

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12. [GPhys02 7.54.P.] The carnival ride shown in Figure 7-18 has a 1.8 m radius and rotates once each 1.60 s.


Figure 7-18

(a) Find the speed of a rider.
m/s
(b) Find the centripetal acceleration of a rider.
m/s2
(c) What produces this acceleration?

(d) When the floor drops down, riders are held up by friction. Draw motion and free-body diagrams of the situation. (Do this on paper. Your instructor may ask you to turn in this work.)
(e) What minimum coefficient of static friction is needed to keep the riders from slipping?

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