Question 4: Tossing a tennis ball straight up
As shown below, a tennis ball is thrown vertically up with initial speed v_(0) from a point on the ground at latitude heta where the Earth rotates from west to east at the angular velocity vec(omega ). Ignore all terms of order O(omega ^(2)).
(a) Which fictitious force is dominant for the trajectory of the ball and causes a deviation? Find its direction. Does the direction of the ball change as it moves?
(b) Where does the ball land? Calculate the distance from its launch point and its return point in terms of v_(0),omega , and g.
(c) Estimate the size of this effect on the equator if v_(0)=40(m)/(s) (If you couldn't find the previous subquestion, make a prediction based on the ball-tower example we discussed in the lecture and comment on the size of the deflection.).
(d) Sketch the ball's orbit as seen from the north (by an observer fixed to the earth). Compare with the orbit of a ball dropped from a point above the equator.
Question 4: Tossing a tennis ball straight up As shown below, a tennis ball is thrown vertically up with initial speed vo from a point on the ground at latitude 9 where the Earth rotates from west to east at the angular velocity . Ignore all terms of order O(2).
a Which fictitious force is dominant for the trajectory of the ball and causes a deviation? Find its direction. Does the direction of the ball change as it moves?
(b) Where does the ball land? Calculate the distance from its launch point and its return point in terms of vo, @, and g
(c) Estimate the size of this effect on the equator if vo = 40m/s (If you couldn't find the previous subquestion, make a prediction based on the ball-tower example we discussed in the lecture and comment on the size of the deflection.).
(d Sketch the ball's orbit as seen from the north (by an observer fixed to the earth). Compare with the orbit of a ball dropped from a point above the equator.