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show work for 2,4,8  2) A quarterback throws a pass to a wide receiver who is 30 maway. He throws the ball at
an angle 45 degrees above the horizontal. Find the speed vo at which he must throw the
ball to make the pass.
a. Sketch a diagram of the situation, including a useful coordinate system.
b. Use the vertical and horizontal components of the motion to find two equations
with two unknowns (Ar and vo).
c. Solve for the initial speed vo.
mass of moon is
7.35X10^22kg
4) The Moon is a distance 384,000 km from the Earth and takes 27.3 days to complete an
orbit around the Earth.
a. Find the speed and centripetal acceleration of the Moon as it orbits.
b. Using your result from part a, find the Earth's force of gravity on the Moon.
8) You are pulling two wagons using a rope, as
shown in the figure at the right. Each wagon has
an equal mass m = 30 kg. You are exerting a
force of 200 N on the rope. You may neglect the
effect of friction in the wheels for this problem.
a. What is the acceleration of the wagons? (Hint: imagine the two wagons asa
single object of mass 2m.)
b. Using your results from part a, what is the tension in the rope between the
wagons? (Hint: what force must the rope exert on the second wagon?)

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