In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–48) is more difficult than from a downhill lie. To see why, assume that on a particular green the ball decelerates constantly at 1.8 m/s 2 going downhill, and constantly at 2.8 m/s 2 going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What in your results suggests that the downhill putt is more difficult?
In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–48) is more difficult than from a downhill lie. To see why, assume that on a particular green the ball decelerates constantly at 1.8 m/s 2 going downhill, and constantly at 2.8 m/s 2 going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What in your results suggests that the downhill putt is more difficult?
In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 1.0 m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that is, putting the ball downhill, see Fig. 2–48) is more difficult than from a downhill lie. To see why, assume that on a particular green the ball decelerates constantly at 1.8 m/s2 going downhill, and constantly at 2.8 m/s2 going uphill. Suppose we have an uphill lie 7.0 m from the cup. Calculate the allowable range of initial velocities we may impart to the ball so that it stops in the range 1.0 m short to 1.0 m long of the cup. Do the same for a downhill lie 7.0 m from the cup. What in your results suggests that the downhill putt is more difficult?
In putting, the force with which a golfer strikes a ball is
planned so that the ball will stop within some small distance
of the cup, say 1.0m long or short, in case the putt is missed.
Accomplishing this from an uphill lie (that is, putting the
ball downhill, see Fig. 2–47) is more difficult than from a
downhill lie. To see why, assume that on a particular green
the ball decelerates constantly at 1.8 m/s² going downhill,
and constantly at 2.6 m/s² going uphill. Suppose we have an
uphill lie 7.0 m from the cup. Calculate the allowable range
of initial velocities we may impart to the ball so that it stops
in the range 1.0 m short to 1.0 m long of the cup. Do the
same for a downhill lie 7.0 m from the cup. What in your
results suggests that the downhill putt is more difficult?
Uphill
lie
Downhill
7.0 m
lie
- 7.0 m
FIGURE 2-47 Problem 70.
A baseball player throws a ball into the air with an initial speed of 27 m/s [up]. Ignore air resistance. (a) How high does the ball go? (b) How long is the ball in the air before she catches it?
do this using GRASS eqaution
A person driving her car at 35 km/h approaches an inter-
section just as the traffic light turns yellow. She knows that
the yellow light lasts only 2.0s before turning to red, and
she is 28 m away from the near side of the intersection
(Fig. 2–49). Should she try to stop, or should she speed up
to cross the intersection before the light turns red? The
intersection is 15 m wide. Her car's maximum deceleration
is -5.8 m/s?, whereas it can accelerate from 45 km/h to
65 km/h in 6.0 s. Ignore the length of her car and her
reaction time.
– 28 m -
-15 m→
FIGURE 2-49 Problem 73.
Chapter 2 Solutions
Physics for Scientists and Engineers with Modern Physics
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