# 1) . The Moon’s mass is 7.35 x 10^22 kg, and it moves in a nearly circularorbit with radius 3.84…

1) The Moon’s mass is 7.35 x1022 kg, and it moves in a nearly circular
orbit with radius 3.84 x 10^8 m. The period of its motion is 27.3 days.
Use this information to determine the Moon’s (a) orbital speed and
(b) acceleration.

2) A sports car is advertised to have a maximum cornering acceleration
of 0.85 g.
(a) What is the maximum speed that the car can go around a curve
(b) What is its maximum speed for a 50-m radius curve?
(c) If wet pavement reduces its maximum cornering acceleration to
0.6 g, what do the answers to (a) and (b) become?

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3) When an object is thrown straight upward, gravity causes it to decel-
erate at a rate of 1 g—its speed decreases 9.8 m/s or 22 mph each
second.
(a) Explain how we can use the equations, tables, and graphs for a
freely falling body to analyze this motion.
(b) A baseball is thrown vertically upward at a speed of 39.2 m/s
(88 mph). How much time elapses before it reaches its highest
point, and how high above the ground does it get?

4) A race car starts from rest on a circular track with radius 100 m and
begins to increase its speed by 5 m/s each second. At what point in
time is the car’s vector acceleration directed 45° away from straight
ahead? What is the magnitude of the resultant acceleration at that
moment?

Mathematics homework help