6.8. A cannon launches two shells at the same speed, one at 55° above horizontal and one at 35° above horizontal. Which shell, if either, has the longer range? Which shell, if either, is in the air longer? Assume level ground and ignore air resistance.

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I need help on question 6.8

6.6. A 1000 kg car moving at 7.0 m/s tries to round a corner in a circular arc of radius 9.0 m. The
roadway is flat and level.
(a) What size is the centripetal force that acts on the car as it successfully rounds the curve?
(b) What is the minimum coefficient of friction between the tires and the road that will allow
the car to make it through the turn without slipping?
6.7. A 0.10 kg ball attached to a 0.20 m rod of very small inertia
moves in a vertical circle in such a way that its speed remains
constant. Let T₁, T2, T3, and T4 be the tensions in the rod at
positions 1, 2, 3, and 4 in the figure to the right.
(a) Rank the tensions in order of magnitude, greatest first. 2
(b) What rotational speed is required at position 3 to keep T3
barely greater than zero?
3
(c) At that speed, what is the tension at position 1?
6.8. A cannon launches two shells at the same speed, one at 55° above horizontal and one at 35°
above horizontal. Which shell, if either, has the longer range? Which shell, if either, is in the
air longer? Assume level ground and ignore air resistance.
1
6.9. Soccer players often fool around in practice with something called the "crossbar challenge"
which is an attempt to kick the ball from the ground and have it hit the crossbar of the goal,
which is 8.0 ft or 2.4 m above the ground.
Use your physics skills to calculate an initial velocity (speed and angle) that could be used
to hit the crossbar from a point where the ball is on the ground 11 m away from the goal.
Neglect air friction for your calculations. (We'll assume that the air friction doesn't cause
the ball to be deflected by more than half the diameter of the ball, so it still hits the bar.
However, as any soccer player knows, air friction does actually cause more of an effect than
this, especially if the ball is spinning.)
There are multiple correct answers to this question, so your task is to clearly show that the
values you give are correct.
Transcribed Image Text:6.6. A 1000 kg car moving at 7.0 m/s tries to round a corner in a circular arc of radius 9.0 m. The roadway is flat and level. (a) What size is the centripetal force that acts on the car as it successfully rounds the curve? (b) What is the minimum coefficient of friction between the tires and the road that will allow the car to make it through the turn without slipping? 6.7. A 0.10 kg ball attached to a 0.20 m rod of very small inertia moves in a vertical circle in such a way that its speed remains constant. Let T₁, T2, T3, and T4 be the tensions in the rod at positions 1, 2, 3, and 4 in the figure to the right. (a) Rank the tensions in order of magnitude, greatest first. 2 (b) What rotational speed is required at position 3 to keep T3 barely greater than zero? 3 (c) At that speed, what is the tension at position 1? 6.8. A cannon launches two shells at the same speed, one at 55° above horizontal and one at 35° above horizontal. Which shell, if either, has the longer range? Which shell, if either, is in the air longer? Assume level ground and ignore air resistance. 1 6.9. Soccer players often fool around in practice with something called the "crossbar challenge" which is an attempt to kick the ball from the ground and have it hit the crossbar of the goal, which is 8.0 ft or 2.4 m above the ground. Use your physics skills to calculate an initial velocity (speed and angle) that could be used to hit the crossbar from a point where the ball is on the ground 11 m away from the goal. Neglect air friction for your calculations. (We'll assume that the air friction doesn't cause the ball to be deflected by more than half the diameter of the ball, so it still hits the bar. However, as any soccer player knows, air friction does actually cause more of an effect than this, especially if the ball is spinning.) There are multiple correct answers to this question, so your task is to clearly show that the values you give are correct.
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