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Integrated Concepts A large rocket has a mass of
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- Three skydivers are plummeting earthward. They are initially holding onto each other, but then push apart. Two skydivers of mass 70 and 80 kg gain horizontal velocities of 1.2 m/s north and 1.4 m/s southeast, respectively. What is the horizontal velocity of the third skydiver, whose mass is 55 kg?arrow_forwardNASAs Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 106 N of thrust while burning fuel at a rate of 2.63 103 kg/s. Calculate the engines exhaust speed.arrow_forwardA 1060 kg rocket is to be launched with an initial upward speed of 53.0 m/s. In order to assist its engines, the engineers will start it from rest on a ramp that rises 53 above the horizontal (Eigure 1). At the bottom, the ramp tums upward and launches the rocket vertically. The engines provide a constant forward thrust of 2000 N. and friction with the ramp surface is a constant 500 N Figure Rocket starts here. 53 1 of 1 Rocket is. launched upward. Y Part A How far from the base of the ramp should the rocket start, as measured along the surface of the ramp? Express your answer in meters to three significant figures. 1961 ΑΣΦΑ d= Submit Beavest Answer Provide Feedback Pearson ? m Next >arrow_forward
- A toy rocket achieves a velocity of 54.0 m/s after 2.50 s, when fired straight up. If the average force exerted by the engine is 26 N, what is the toy's mass? Your answerarrow_forwardIn a slow-pitch softball game, a 0.2 kg softball crosses the plate at 15 m/s at an angle of 45° below the horizontal. The batter hits the ball toward center field, giving it a velocity of 40 m/s at 30° above the horizontal. a) Determine the impluse delivered to the ball. b) If the force on the ball increases linearly for 4 ms, holds constant for 20 ms, and then dcreases linearly to zero in another 4 ms, what is the maxium force on the ball ?arrow_forwardThe first stage of a Saturn V consumes fuel at the rate of 43800 kg/s, with an exhaust speed of 1740 m/s. The acceleration of gravity is 9.8 m/s. Calculate the thrust produced by these en- gines. Answer in units of N. space vehiclearrow_forward
- Your friend’s car has broken down, so you volunteer to push it with your own car to the nearestrepair shop, which is 2.0 km away. You carefully move your car so that the bumpers of the two carsare in contact. You then slowly accelerate to a speed of 2.5 m/s over the course of 1.0 min. The massof your friend’s car is 1.2 x 10 ^3 kg. Assume negligible friction.a) Calculate the normal force between the two bumpers. b) You then maintain a speed of 2.5 m/s. How long does it take you to reach the repair shop? c) Sketch the shape of a velocity time graph for the entire motion. d) Sketch the shape of a position time graph for the entire motion.arrow_forward16) A rocket of initial mass 1000 kg adjusts its thrust by varying the rate of mass ejection. The ejection speed relative to the rocket is 40 km / s. If the acceleration of the rocket must have a magnitude of 20 m / s2 at an instant when its mass is 80% of the original mass, at what rate is it being ejected at this instant? Ignore any forces external to the rocket. Answers: a) 0.40 kg/s b) 0.50 kg/s c) 0.60 kg/s d) 0.70 kg/s e) 0.80 kg/sarrow_forwardAs a fish jumps vertically out of the water, assume thatonly two significant forces act on it: an upward force F exertedby the tail fin and the downward force due to gravity. A recordChinook salmon has a length of 1.50 m and a mass of 61.0 kg.If this fish is moving upward at 3.00 m/s as its head first breaksthe surface and has an upward speed of 6.00 m/s after twothirdsof its length has left the surface, assume constant accelerationand determine (a) the salmon’s acceleration and (b)the magnitude of the force F during this interval.arrow_forward
- 10 kg weight starts at rest and then pushed rightly by a force of 59 N for 8 s on a horizontal, frictionless floor. force is removed, the weight hits a second weight with mass M, that is at first at rest, both move together at 25 m/s. What is the mass of the 2nd weight?arrow_forwardIVIT IN UTES ASK YOUR TEACHER PRACTICE ANUTHER A baseball with a mass of 145 g is thrown horizontally with a speed of 39.7 m/s (89 mi/h) at a bat. The ball is in contact with the bat for 1.15 ms and then travels straight back at a speed of 45.6 m/s (102 mi/h). Determine the average force (in N) exerted on the ball by the bat. Neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (Indicate the direction with the sign of your answer.) Additional Materials O Readingarrow_forwardA rocket in space consumes fuel and oxidizer at the rate of 2.15 x 104 kg/s with an exhaust speed of 3.30 x 10 m/s. (a) Find the thrust (in N) produced by the rocket's engine. (b) Find the acceleration (in m/s2) of the rocket at liftoff from Earth's surface, if its initial mass was 3.00 x 10° kg. (Enter the magnitude.) m/s?arrow_forward
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