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Unformatted text preview: 1. A springloaded toy gun is used to shoot a ball straight up in the air. The ball
reaches a maximum height H, measured from the equilibrium position of the
spring. The same ball is shot straight up a second time from the same gun, but
this time the spring is compressed only half as far before ﬁring. How far up does
the ball go this time? Neglect friction. Assume that the spring is ideal and that the l a 2 “g ' L 2 firth '
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% ﬁlm“ 1 2. You carry a 7.0 kg bag of groceries 1.2 m above the ground at a constant velocity acmW room. How much word do you do on the bag in the process? 093” / *~ 1: \
b' 82 J \'\l '1‘? W} (:03 6; I” H C
c. 151 J I K
d' 128 J W 5 U 3. An astronaut is in equilibrium when he is positioned 400 km from planet X and 600 km from planet Y, along a straight line joining the planets centers. What is
the ratio of the masses X/Y? c. 15 ) ‘/
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4. An earth satellite needs to have its orbit) changed so the new orbit will be twice as far from the center of the earth as the original orbit. The new orbital period will
be twice as long as the original period. ‘ ,2}.._Irue¢\ 7 b. False”:e T» 394 a. What is the ﬁnal kinetic energy of thee 'mney j \
ground? Your answer should be left in terms of m and (MK 06' L,“ K? L59: 7 ﬂ/ {n.rz.z\\«5\ :  » V '2?
i“: "I: L: E ( Ll
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:r "La ! krth ) a” b. What is the initial potential energy of the chimney? Your answer should
be left in terms of m and L. (“V ’3 m C73") \ \ f\ f» /‘. ~ _ . _ :90 L81 "HE C("CLL {WC
c. When the tip of the chimney 15 Q m W‘s, what IS the chimney’s angular speed 03f? 2
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“‘ 1 Le I 6. A 100 N cannon ball is ﬁred at a speed of 20 m/s off a 25 m tall fortress wall at an
angle of 30° above the horizontal. a. Find the speed of the cannon ball right before it strikes the ground (assume the ground is level).
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r, .2 er C b. If instead the cannon ball were ﬁred at 20 m/s 600 below the horizontal,
what would the speed of the cannon ball be right before impact? ., __ __
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1‘— ‘,v’t'xi~\\\ *‘ é” .37“ V ‘ Z l V” a 7. A force I?“ =125—10} N acts on an object. a. How much work does this force do as the object moves from the origin to
the point 7 =14i+11j m? b. The same force is applied to a point F = 8} which gives rise to a torque about the origin. Find the W torque. 8. A particular motor can provide a maximum of 1 10.0 Nm of torque. Assuming that
all of this torque issued to accelerate a solid ﬂywheel (Imjt‘mrz) of mass 10.0 kg and
radius 4.00 m. Z
a. What is the angular acceleration of the ﬂywheel? : a; my?» «4
in; M 07 : “It: ’5‘”) (CW) M
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T3 b. How long will it take for the ﬂywheel to accelerate ﬁOm rest to 11.00 rad/S?
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h M; c. What is magnitude of the ﬂywheel’s‘ahgular momentum? // ,1 > 1’» C V Y _ 9% l» 5““ V6 ...
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 Fall '08
 pope
 Energy, Force, Kinetic Energy, cannon ball, firth

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