A 450 g model rocket is on a cart that is rolling to the right at a speed of 4 m/s. The rocket engine, when it is fired, exerts a 6 N vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal loop that is 22 m above the ground. At what horizontal distance left of the loop should you launch?
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rocket engine, when it is fired, exerts a 6 N vertical thrust on the rocket. Your goal is to
have the rocket pass through a small horizontal loop that is 22 m above the ground. At
what horizontal distance left of the loop should you launch?"
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- A small block has a horizontal velocity of 4.00m/s as it slides off the edge of a table. The table is a vertical distance of 0.90m above the floor. If g=9.80m/s^2, how far does the block travel horizontally while it is in the air?You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 10.7 m/s at the top of the incline, which is h = 36.7 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n = 1.85 g at the top of the hump and no more than N = 5.53 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale) h Roop terms of use contact us help about us privacy policy careersChildren playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 5.40 m above the parking lot, and the school building's vertical wall ish = 6.90 m high, forming a 1.50 m high railing around the playground. The ball is launched at an angle of e = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) Find the speed (in m/s) at which the ball was launched. m/s (b) Find the vertical distance (in m) by which the ball clears the wall. m (c) Find the horizontal distance (in m) from the wall to the point on the roof where the ball lands. (d) What If? If the teacher always launches the ball with the speed…
- In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 = 23.0° with respect to the ground (see figure below). Wolverine is d = 2.14 m above the ground when he is released, and he leaves Colossus's hands with a speed of v; = 22.6 m/s. d (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. m (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/sOn Mars, a ball is rolling from a ground to a hill, and we know the height of the hill, Z, is 10 m, and the initial velocity ofthe ball on the ground and the final velocity on the hill are known: V1 = 20 m/s and V2 = 10 m/s, respectively. The mass ofthe ball, m, is 4 kg. The gravitational acceleration on Mars, gMars, is 3.7 m/s2. Please calculate 1) the change in kineticenergy, ΔKE, in J and 2) the change in potential energy, ΔPE, in J, of the ball for the rolling process.A playground is on the flat roof of a city school, h, = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of 0 = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (a) Find the speed at which the ball was launched. 18.0 V m/s (b) Find the vertical distance by which the ball clears the wall. 0.32 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m (c) Find the horizontal distance from the wall to the point on the roof where the ball lands. 2.14 Your response differs from the correct answer by more than 10%. Double check your calculations. m
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- SITUATION 9. A small projectile is fired vertically downward into a fluid medium with an initial velocity of 60m/s. Due to the drag resistance of the fluid the projectile experiences a deceleration of a = -0.4v³m/s², where v is in m/s. Determine the projectile's velocity and position 4 s after it is fired.A golfer gives a ball a maximum initial speed of 51.8 m/s. What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level. What is the minimum speed of the ball during this hole-in-one shot?A ski jumper leaves the ski track moving in the horizontal direction with a speed of 25.0m/s. The landing incline below her falls with a slope of 35.0°. Where does she land on the incline?