A 1500-kg rocket is to be launched with an initial upward speed of 50.0 m/s. In order to assist its engines, the engineers will start it from rest on a ramp that rises 53° above the horizontal (Fig. P7.50). At the bottom, the ramp turns 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. How far from the base of the ramp should the rocket start, as measured along the surface of the ramp?
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- A rocket has a total mass of 1.17 105 kg and a burnout mass of 1.03 104 kg, including engines, shell and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.17 min, burning the fuel at a steady rate with an exhaust velocity of ve= 4.89 103 m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? (b) What thrust does the engine develop at liftoff? (c) What is the initial acceleration of the rocket if gravity is not neglected?arrow_forwardDetermine the kinetic energy of the projectile of mass 25 kg at the highest point of its trajectory, if it was launched with an initial speed of 30 m/s and at an initial angle of 45° with respect to the horizontal? a. 5625 J c. 5825 J b. 5725 J d. 5525 Jarrow_forwardThe cryogenic main stage of a rocket has an exhaust speed of 4.21 103 m/s and burns liquid hydrogen and liquid oxygen at a combined rate of 317 kg/s. a. What is the thrust produced by the rockets main engine? b. If the initial mass of the rocket is 1.10 105 kg, what is the initial acceleration of the rocket upon liftoff from the Earth?arrow_forward
- A cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.arrow_forwardThree runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown in Figure P11.73. The first car, with mass m1 = 1.50 103 kg, is moving to the right with speed v1 = 10.0 m /s; the second car, with mass m2 = 2.50 103 kg, is moving to the left with speed v2 = 5.00 m/s, and the third car, with mass m3 = 1.20 103 kg, is moving to the left with speed v3 = 8.00 m /s. The three railroad cars collide at the same instant and couple, forming a train of three cars. a. What is the final velocity of the train cars immediately after the collision? b. Would the answer to part (a) change if the three cars did not collide at the same instant? Explain. FIGURE P11.73arrow_forwardTwo gliders are set in motion on a horizontal air track. A spring of force constant k is attached to the back end of the second glider. As shown in Figure P8.48, the first glider, of mass m1, moves to the right with speed v1, and the second glider, of mass m2, moves more slowly to the right with speed v2. When m1 collides with the spring attached to m2, the spring compresses by a distance xmax, and the gliders then move apart again. In terms of v1, v2, m1, m2, and k, find (a) the speed rat maximum compression, (b) the maximum compression xmax, and (c) the velocity of each glider after m1 has lost contact with the spring.arrow_forward
- You hold a slingshot at arms length, pull the light elastic band back to your chin, and release it to launch a pebble horizontally with speed 200 cm/s. With the same procedure, you fire a bean with speed 600 cm/s. What is the ratio of the mass of the bean to the mass of the pebble? (a) 19 (b) 13 (c) 1 (d) 3 (e) 9arrow_forwardA 71 kg baseball player jumps straight up to catch a hard-hit ball. If the 140 g ball is moving horizontally at 28 m/s, and the catch is made when the ballplayer is at the highest point of his leap, what is his speed immediately after stopping the ball?arrow_forwardA rocket has a total mass of 1.00 x 105 kg and a burnout mass of 1.00 x 104 kg, including engines, shell, and payload. The rocket blasts off from Earth and exhausts all its fuel in 4.00 min, burning the fuel at a steady rate with an exhaust velocity of ve = 4.50 x 103 m/s. (a) If air friction and gravity are neglected, what is the speed of the rocket at burnout? (b) What thrust does the engine develop at liftoff? (c) What is the initial acceleration of the rocket if gravity is not neglected? (d) Estimate the speed at burnout if gravity isn’t neglected.arrow_forward
- The Zacchini family was renowned for their human- cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air. In one version of the act, Emanuel Zacchini was shot over three Ferris wheels to land in a net at the same height as the open end of the cannon and at a range of 69 m. He was propelled inside the barrel for 5.2 m and launched at an angle of 53. If his mass was 85 kg and he underwent constant acceleration inside the barrel, what was the magnitude of the force propelling him? (Hint: Treat the launch as though it were along a ramp at 53. Neglect air drag.)arrow_forwardCedar has been trying to get Liam's attention for weeks. He decides to make a paper airplane to hit Liam in the back of his head (and grab his attention). If the paper airplane flies 2.64 m [W 26˚ N] and then is caught by the wind, which causes it to travel 3.21 m [S 12˚ E]. What is the paper airplane's total displacement? (please hand-write it and make it clear)arrow_forwardA small block of mass m 1 = 0.500 kg is released from rest atthe top of a curved wedge of mass m 2 =3.00 kg, which sits ona frictionless horizontal surface as in Figure P6.73a. When theblock leaves the wedge, its velocity is measured to be 4.00 m/sto the right, as in Figure P6.73b. (a) What is the velocity ofthe wedge after the block reaches the horizontal surface? (b)What is the height h of the wedge?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning