1. You are on a pair of water skis, being towed by a boat. The rope...
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1. You are on a pair of water skis, being towed by a boat. The rope you are holding onto makes a 10 angle with the horizontal. Water exerts a resistive force (think of this like friction) of 140 N on your skis. You have a mass of 70 kg. The tension in the rope is 250 N. (a) What is your acceleration? You must include a free body diagram showing all the forces acting on you. (b) How far have you traveled by the time you reach 15 m/s, starting from rest? 2. You are playing mini-golf (also known as putt-putt golf) and reach a point in the course where you need to hit the ball so it goes up a ramp and over a pit (as shown below). The ball is a solid sphere that rolls without slipping. h Ax2 Ax3 (b) (a) The ramp is 2.5 m tall and makes a 30 angle with the ground. The first platform at the top of the hill extends horizontally 2m, the pit is 0.75 m wide, and the final platform extends 3 m. You want the ball to land in the center of the final platform. (a) In order to land at the desired location, what does the speed of the ball need to be at the top of the ramp (v1)? For this part of the problem, you are only concerned with the portion of the diagram labeled (a). The launch angle of the ball as it leaves the ramp is the same as the angle of the ramp. (b) What does the initial speed of the ball (vo) need to be? For this part of the problem, you are concerned with the portion of the diagram labeled (b), and you will use your result from the previous part. 1. You are on a pair of water skis, being towed by a boat. The rope you are holding onto makes a 10 angle with the horizontal. Water exerts a resistive force (think of this like friction) of 140 N on your skis. You have a mass of 70 kg. The tension in the rope is 250 N. (a) What is your acceleration? You must include a free body diagram showing all the forces acting on you. (b) How far have you traveled by the time you reach 15 m/s, starting from rest? 2. You are playing mini-golf (also known as putt-putt golf) and reach a point in the course where you need to hit the ball so it goes up a ramp and over a pit (as shown below). The ball is a solid sphere that rolls without slipping. h Ax2 Ax3 (b) (a) The ramp is 2.5 m tall and makes a 30 angle with the ground. The first platform at the top of the hill extends horizontally 2m, the pit is 0.75 m wide, and the final platform extends 3 m. You want the ball to land in the center of the final platform. (a) In order to land at the desired location, what does the speed of the ball need to be at the top of the ramp (v1)? For this part of the problem, you are only concerned with the portion of the diagram labeled (a). The launch angle of the ball as it leaves the ramp is the same as the angle of the ramp. (b) What does the initial speed of the ball (vo) need to be? For this part of the problem, you are concerned with the portion of the diagram labeled (b), and you will use your result from the previous part.
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