6.1 Rocket Science

Get the assessment: FA06.1.docx

Get Help with: Quizlette 6.1 .:. Practice Problems 6.1

The Assessment solved:

1. A 600. kg stage set on frictionless air bearings goes from rest to 0.850 m/s in 12.5 seconds. What force acted on the set?

(40.8 N)

2. A 0.142 Kg baseball going 41.0 m/s, strikes a bat, and heads straight back to the outfield at 53.0 m/s. If the bat exerted a force of 2350 N, for what time was it in contact with the bat?

(0.00568 s)

Another boring example:

HTPG06 FA6 1 #2a

3. A rocket engine burns 12.0 grams of fuel (0.0120 kg) in 1.10 seconds with an exhaust velocity of 782 m/s. What it the thrust of this engine?

(8.53 N)

4. A rocket engine burns fuel at a rate of 53.5 grams per second, and develops a force of 65.2 N. What must be the exhaust velocity? (1000 grams = 1 kg)

(1219 m/s)

5. A 60.0 kg rocket, 48.0 kg of which is fuel, burns 2.15 kg of fuel per second with an exhaust velocity of 982 m/s. What are its initial and final acceleration as it takes off from earth? For what time do the engines burn? optional: (What is its acceleration at t = 10.0 s? Make a graph of the acceleration.)

(25.4 m/s/s, 166 m/s/s, 22.3 s, 45.0 m/s/s)


Help with the Quizlette 6.1 - Rocket Science!!:

1) If you exert a force of 45 N on a 52 kg frictionless cart at rest for 3.5 seconds, what is its change in velocity? <Video>

2) A 295 kg spacecraft has rockets that exert a force of 0.050 N (ion propulsion). For what time must you "burn" these engines to change the velocity of the spacecraft by 350. m/s? <Video>

3) A 540 kg stage set floating on air bearings undergoes a change in velocity of 1.2 m/s in 31 seconds. What force was exerted? <Video>

4) A 0.145 Kg baseball going 40.0 m/s, strikes a bat, and heads straight back to the outfield at 61.0 m/s. If the collision lasted for 0.0120 seconds, what force did the bat exert on the baseball? <Video>

5) A 0.141 Kg baseball going 32.0 m/s, strikes a bat, and heads straight back to the outfield at 50.0 m/s. If the bat exerted a force of 1960 N, for what time was it in contact with the bat? <Video>

6) A ball going 35.0 m/s, strikes a bat, and heads straight back to the outfield at 42.0 m/s. If the bat exerted a force of 1780 N for 0.00630 seconds, what is the mass of the ball? <Video>

7) A rocket engine produces 410. N of thrust for 17.0 s with an exhaust velocity of 710. m/s. What mass of fuel does it burn in this time? <Video>

8) A rocket engine burns 1.20 kg of fuel generating 72.0 N of thrust with an exhaust velocity of 540. m/s. What time does the engine burn? <Video>

9) A rocket engine burns fuel at a rate of 13.0 grams per second, and has an exhaust velocity of 690. m/s. What thrust does it develop? (1000 grams = 1 kg) <Video>

10) A rocket engine burns fuel at a rate of 12.0 grams per second, and develops a thrust of 8.50 N. What must be the exhaust velocity? (1000 grams = 1 kg) <Video>

11) A 8.30 kg rocket, 5.20 kg of which is fuel, burns all of its fuel in 12.0 seconds with an exhaust velocity of 610. m/s. What are its initial and final acceleration as it takes off from earth? (Thrust = 264.3 N) <Video>

12) A 320. kg rocket, 280. kg of which is fuel, burns all of its fuel in 32.0 seconds with an exhaust velocity of 780. m/s. What are its initial and final acceleration as it takes off from earth? (Thrust = 6825 N) <Video>

13)A 71.0 kg rocket (total mass of fuel and rocket), burns 51.0 kg of fuel at a rate of 2.10 kg/s with an exhaust velocity of 650. m/s. What are its initial and final acceleration as it takes off from earth? (Thrust = 1365 N) <Video>

14) A 140. kg rocket (total mass of fuel and rocket), burns 110.0 kg of fuel at a rate of 3.20 kg/s with an exhaust velocity of 810. m/s. What are its initial and final acceleration as it takes off from earth? (Thrust = 2592 N) <Video>


Help with the Practice Problems:

Practice 6.1 - Rocket Science!!!!!

1. a. A 35.0 N unbalanced force is exerted on a 7.10 Kg mass for 36.0 seconds. What is the change of velocity of the mass? (177 m/s) <Video>

b. A 0.145 Kg baseball going 41.0 m/s, strikes a bat, and heads straight back to the outfield at 31.0 m/s. If the bat exerted a force of 2530 N, for what time was it in contact with the bat? (0.00413 s) <Video>

c. A rocket burns 42.4 kg in 6.50 s with an exhaust velocity of 720. m/s. What is the thrust of the engine? (4697 N) <Video>

d. A rocket engine burns fuel at a rate of 4.10 grams per second, and develops a force of 12.2 N. What must be the exhaust velocity? (1000 grams = 1 kg) (2976 m/s) <Video>

e. A 114 kg rocket (total mass of fuel and rocket), burns 95.0 kg of fuel at a rate of 3.50 kg/s with an exhaust velocity of 790. m/s. What are its initial and final acceleration as it takes off from earth? (14.5 m/s/s, 136 m/s/s) <Video>

2. a. A 62.0 N unbalanced force is exerted on an object for 4.5 seconds. The mass changes velocity from rest to 47 m/s. What is the mass of the object? (5.94 kg) <Video>

b. A 0.138 Kg baseball going 37.0 m/s, strikes a bat, and heads straight back to the outfield at 45.0 m/s. If the collision lasted for .0121 seconds, what force did the bat exert on the baseball? (935 N) <Video>

c. A rocket engine develops 1240 N of thrust burning 56.2 kg of fuel in 21.5 s. What is the exhaust velocity? (474 m/s) <Video>

d. A rocket engine burns fuel at a rate of 1.40 grams per second, and has an exhaust velocity of 890. m/s. What thrust does it develop? (1000 grams = 1 kg) (1.25 N) <Video>

e. A 324 kg rocket, 292 kg of which is fuel, burns all of its fuel in 38.0 seconds with an exhaust velocity of 880. m/s. What are its initial and final acceleration as it takes off from earth? (11.1 m/s/s, 202 m/s/s) <Video>

3. a. A force is exerted on a 23 Kg mass for 15 seconds. The mass changes velocity from rest to 45 m/s. What was the force? (69.0 N) <Video>

b. A ball going 27.0 m/s, strikes a bat, and heads straight back to the outfield at 41.0 m/s. If the bat exerted a force of 312 N for 0.0230 seconds, what is the mass of the ball? (0.106 kg) <Video>

c. A rocket burns 35.1 kg of fuel generating 450. N of thrust with an exhaust velocity of 790. m/s. What time do the engines burn? (61.6 s) <Video>

d. A rocket develops a thrust of 14.2 N, with an exhaust velocity of 910. m/s. What mass in fuel does the engine burn every second? (0.0156 kg/s or 15.6 g/s) <Video>

e. A 67.0 kg rocket (total mass of fuel and rocket), burns 52.0 kg of fuel at a rate of 2.70 kg/s with an exhaust velocity of 642 m/s. What are its initial and final acceleration as it takes off from earth? (16.1 m/s/s, 106 m/s/s) <Video>

4. a. A 68 N unbalanced force is exerted on a 12 Kg mass. The mass changes velocity from rest to 35 m/s. What time did the force act? (6.18 s) <Video>

b. A 0.141 Kg baseball going 34.0 m/s, strikes a bat, and heads straight back to the outfield at 58.0 m/s. If the bat exerted a force of 1830 N, for what time was it in contact with the bat? (0.00709 s) <Video>

c. A rocket engine produces 360. N of thrust for 45.0 s with an exhaust velocity of 770. m/s. What mass of fuel does it burn in this time? (21.0 kg) <Video>

d. A rocket engine burns fuel at a rate of 14.0 grams per second, and develops a force of 31.7 N. What must be the exhaust velocity? (1000 grams = 1 kg) (2264 m/s) <Video>

e. A 19.0 kg rocket, 14.0 kg of which is fuel, burns its fuel at a rate of 0.420 kg/s with an exhaust velocity of 650. m/s. What are its initial and final acceleration as it takes off from earth? (4.57 m/s/s, 44.8 m/s/s) <Video>

5. a. A 23 N unbalanced force is exerted on a 46 Kg mass for 18 seconds. What is the change of velocity of the mass? (9.00 m/s) <Video>

b. A 0.143 Kg baseball going 36.0 m/s, strikes a bat, and heads straight back to the outfield at 86.0 m/s. If the collision lasted for 0.0120 seconds, what force did the bat exert on the baseball? (1454 N) <Video>

c. A rocket engine burns 2.20 kg of fuel generating 89.0 N of thrust with an exhaust velocity of 710. m/s. What time does the engine burn? (17.6 s) <Video>

d. A rocket engine burns fuel at a rate of 11.0 grams per second, and has an exhaust velocity of 752 m/s. What thrust does it develop? (1000 grams = 1 kg) (8.27 N) <Video>

e. A 5.70 kg rocket, 4.60 kg of which is fuel, burns all of its fuel in 10.3 seconds with an exhaust velocity of 610. m/s. What are its initial and final acceleration as it takes off from earth? (38.0 m/s/s, 238 m/s/s) <Video>





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