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A 600 gg model rocket is on a cart that is rolling to the right at a speed of 2.5 m/sm/s. The rocket engine, when it is fired, exerts a 8.0 NN vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is 20 mm above the launch point. At what horizontal distance left of the hoop should you launch?
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- A motorcycle daredevil plans to ride up a 2.85 m high 29.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as starts up the ramp. He is going 18.2 m/s at that instant, and the rolling friction of his rubber tires is not negligible. Assuming that the local acceleration due to gravity is -9.80 m/s², calculate the landing point (in m) relative to the 10.0 m edge of the pool. (-1.0 m means he was 1.0 m short and in the pool, +1.0 m means he landed 1.0 m past the edge). The coefficient of rolling friction for rubber on ramp is 0.02. Submit Answer Tries 0/10A motorcycle daredevil plans to ride up a 2.00 m high 26.0° ramp, sail across a 10-m-wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as starts up the ramp. He is going 14.9 m/s at that instant, and the rolling friction of his rubber tires is not negligible. Assuming that the local acceleration due to gravity is -9.80 m/s2, calculate the landing point (in m) relative to the 10.0 m edge of the pool. (-1.0 m means he was 1.0 m short and in the pool, +1.0 m means he landed 1.0 m past the edge). The coefficient of rolling friction for rubber on ramp is 0.02.You need to get into your fourth-floor apartment, but you have forgotten your key to the main ground floor door of the building. You call up to your lazy roommate to come down and let you in, but he says he will throw the keys down to you instead. The window that he throws the keys out of is 13 meters above the ground, and he chucks them with a speed of 2m/s at an angle of 20 degrees above horizontal. The acceleration due to gravity near the surface of earth is 9.8 m/s?. How far back from the window do you need to stand to catch the keys?
- As a science fair project, you want to launch an 700 g model rocket straight up and hit a horizontally moving target as it passes 26.0 m above the launch point. The rocket engine provides a constant thrust of 17.6 N. The target is approaching at a speed of 17.0 m/s. # 3 E D 80 F3 C 4 R F 888 V % 5 F5 T G ^ 6 B ▼ Part A At what horizontal distance between the target and the rocket should you launch? Express your answer with the appropriate units. FO Provide Feedback Y Value Submit MacBook Air H HA & 7 N F7 Request Answer U ** → 8 Units DII FB 1 M wwww. ? ( 9 K DD O :) O F10 P F11 1Let us consider the fall of a pole vaulter as a projectile once he releases the pole. The pole has a lake of 15 8 feet and once the athlete releases the pole he will find a mattress 2 feet high, 10 feet wide and 16 feet long, which protects him in the fall. If an athlete lets go of the pole when it was 13.7 ft above the ground with a speed of 15.7 ft/s at an angle of 73 degrees. Enter the horizontal distance that the athlete will travel with the indicated conditions, add the units in the resultA catapult hurls a 35 g stone with a velocity of 13.5 m/s at an angle of 73 degrees above the horizontal. The stone follows a parabolic path. What is the velocity of the stone at its highest point?
- Please answer it within 30 minutes.I will upvote! Problem: You have the chance to throw a water balloon at a clown in the circus. The clown is mostly protected by a wall, but there is a small hole where his head is. He is standing 10 m away from you. The hole is 3 m above theground. You release the balloon 1.5 m above the ground. If you throw the balloon at an angle of 40° abovethe horizontal, how fast should you throw it in order to hit the small hole?Dr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 2.5 m/s at a height 1.5 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and same speed before attempting to juggle. Hint: You can set the final position to be zero.Problem 1 student tries to help some local kids make a tire swing by throwing a rope over a branch, which is difficult because there are two branches (they should pick a different tree). The lower branch is e = 7 m off the ground and upper is d = 1 m above that. The student throws the weighted end of a very light rope with an initial angle of 0 = 70° releasing it underhand at a = 0.5 m firom the ground while standing b = 6 m from the tree. %3D Determine the range of minimum and maximm initial velocities required to get over the lowest limb (B) without hitting the upper branch (C).
- a. A projectile of mass M is ejected from a launcher making an angle ø with the vertical. Suppose the projectile is propelled by a time dependent force F(t) Kee for a short period of To (Kand c are known constants). What is the velocity and the position of the projectile at To? b. Assuming air resistance is negligible, what is the final position r(x,y) of the projectile at its maximum height? Note that the projectile will be in a free-fall mode after To Ft) Fg3In the very Dutch sport of ducth-dude-on-a-pole, athletes run up to a long pole and then use it to vault across a canal. At the very top of his arc, a 70kg vaulter is moving at 3.5m/s and is 5.0m from the bottom end of the pole. What vertical force does the pole exert on the vaulter (in magnitude)?Assume: A178 g basketball is launched at an angle of 53.7 and a distance of 11 m from the basketball goal. The ball is released at the same height (ten feet) as the basketball goal's height. A basketball player tries to make a long jump-shot as described above. The acceleration of gravity is 9.8 m/s². What speed must the player give the ball? Answer in units of m/s.