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Unformatted text preview: Final (Physics 3A) Name ID Discussion Section Multiple choices (5.0% each) 1. A hot air balloon rises with a constant speed of 5 m/s. When it is 30 m above the
ground a rock is dropped from the balloon. How long in s does it take the rock to hit the ground?
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frictionless 30° incline. What is the magnitude of the resulting acceleration of the block in m/sz? 0
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4. A motorcycle and rider moving along a road go over a hump of radius 12 111. What
speed in m/s must they have at the top of the hump in order to appear weightless? 51.9..1
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speed. If the coefﬁcient of friction 18 0.25, what 15 the mass of the block in kg?
a. 0.72 b. 0.98 F a: a . 1’1 :. 14/196630}
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its momentum in kg m/s when it reaches half' 1ts maximum height?
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7. A gun that shoots corks of mass 0. 0 46 kg horizontally uses a spring of spring constant on;
9. 8 Wm. The 0.22 m long spring is compressed to 0.11 m. Its 0. 22 m long barrel exerts a
constant 0. 25 N force of ﬁ'iction on the cork when the gun is ﬁred. What IS the cork’s speed in m/s at the muzzle of the gun?
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 2 0 9. A 70 kg person who nms up a lOstory ﬂight of stairs to a point 25 m above his
starting point in 5.0 minutes has a power expenditure of a.29W.
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157.2. M/ 10. A 1250 kg car moving with a speed of 28.1 m/s collides head on with a 9260 kg truck
moving with a speed of 22.3 m/s in the opposite direction. If they stick together, with
what speed in m/s will they be moving aﬁer the collision? ——>‘ e—
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6.2,, war a: Wwﬂ l 1. Two bodies, A and B, each moving at constant velocity on a frictionless horizontal surface, have equal kinetic energies. m3 = 3m A. The relation between their momenta is
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#:ﬂzﬁE3MgﬁPﬁ‘Jﬁﬁn Cpa=3ps PA MA U; 12. Aﬁer starting from rest with constant angular acceleration, a wheel reaches a speed of
15.0 rad/s in 3.00 3. Its change in angular position in this time is a. 12.5 rad. ‘
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e.25.0rad. 13. If M=6.0 kg, what is the tension in N in string 1? Free responses 1.9%) A single bead can slide on a ﬁictionless wire that is bent into a circular loop of
1 us R. The circle is always in a vertical plane and rotates steadily about its vertical
diameter with an angular speed a). (a) Draw a free body diagram for the bead.
(b) Find the position of the bead 6 where the bead stays motionless relative to the turning circle?
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the spring is compressed a distance x. The force constant of the spring is k. When it is
released, the block travels along a rough horizontal surface with a ﬁiction coefﬁcient ,u
by a distance d to point B, the bottom of a vertical ﬁ'ictionless circular track of radius R.
What is minimum value of x in terms of quantities provided so that the block actually
reaches the top of the track? 2% f9 s/;'\ ENC“: 5?”ng {van/13d 2% x: 5M§K+2Mmjd
k 3. (12%) A pendulum consists of a 0.5 kg bob attached to a string of length 2.0 m. A
block of mass 1.0 kg rests on a horizontal frictionless table 2.0 m tall. The pendulum is
released from rest at an angle of 53° with the vertical and the hob collides elastically with
the block at the vertical position. Find '  (a) the speeds of the hob and block right after the collision, (a) the maximum angle with the vertical the pendulum bob goes after the collision? (b) the horizontal distance the block lands away ﬁ'om the edge of the table? F9 ._ Elmlgamyi)
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 Fall '07
 Casper
 Physics

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