Question

Mastering Physics - Rocket Car

A rocket car is developed to break the land speed record along a salt flat in Utah. However, the safety of the driver must be considered, so the acceleration of thecar must not exceed (or five times the acceleration of gravity) during the test. Using the latest materials and technology, the total mass of the car (including thefuel) is 6000 kilograms, and the mass of the fuel is one-third of the total mass of the car (i.e., 2000 killograms). The car is moved to the starting line (and left atrest), at which time the rocket is ignited. The rocket fuel is expelled at a constant speed of 900 meters per second relative to the car, and is burned at a constantrate until used up, which takes only 15 seconds. Ignore all effects of friction in this problem.

Part A) Find the acceleration of the car just after the rocket is ignited.

I found that a = 20 m/s^2


Part B) Find the final acceleration of the car as the rocket is just about to use up its fuel supply.I don't know how to do this part. Please help!!
1 0
Add a comment Improve this question Transcribed image text
✔ Recommended Answer
Answer #1

a)The force is, ah dt 1 dt 900) 2000 15 120000 N The acceleration is, 120000 6000 = 20 m/s b)The final acceleration is, find 120000 6000 2000 30 m/s2 Both well under the limit of 5g is, a- 5 (5 (9.8 = 49 m/s

Add a comment
Know the answer?
Add Answer to:
Mastering Physics - Rocket Car
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
  • A fully fueled rocket has a mass of 21000 kg, of which 25000 kg is fuel....

    A fully fueled rocket has a mass of 21000 kg, of which 25000 kg is fuel. The burned fuel is exhausted at a rate of 190 kg/s at a speed of 2800 m/s relative to the rocket. If the rocket is fired vertically upward, calculate.... a.) The trust of the rocket b.) The net force on the rocket at blastoff and just before burnout (when all the fuel has been used up) c.) The rocket's velocity at burnout *** Ignore...

  • 4: Suppose the mass of a rocket just as it runs out of fuel is 75550-kg,...

    4: Suppose the mass of a rocket just as it runs out of fuel is 75550-kg, and its exhaust speed is 2.7 × 103 m/s.   Calculate the maximum rate, in kilograms per second, at which the rocket can expel gases, if its acceleration cannot exceed seven times that of the gravitational acceleration on the surface of the Earth. Assume the gravitational force on the rocket is negligible. R = | We were unable to transcribe this imageWe were unable to...

  • A Saturn-V Rocket has a total mass of 3.00 times 10^6 kg when fully fueled. The...

    A Saturn-V Rocket has a total mass of 3.00 times 10^6 kg when fully fueled. The first stage of rocket propulsion burns 2.27 times 10^6 kg of fuel in 150 s, providing a thrust of 3.402 times 10^7 N, as the rocket is lifted against Earth's gravity. a) Find the rate at which fuel is burned during this first-stage propulsion, assuming a steady rate of fuel consumption. b) Find the exhaust speed of the fuel as it is ejected from...

  • A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and...

    A small sounding rocket has an initial mass of M=3200kg (80% of which is fuel) and burns fuel at a rate of 20 kg/s. The exhaust velocity of the gas ejected from the rocket is Uex=2000m/s. a. Find the thrust of the rocket motor. b. Find the time until burnout. c. Find the speed of the rocket at burnout assuming that the rocket moves straight up and stays close enough to Earth's surface that the gravitational acceleration is always g=9.81m/s^2

  • 1.124 Daytona 500 Kry banked 31% Welcome! your goals orei perfect Tkm Complete 200 laps, in...

    1.124 Daytona 500 Kry banked 31% Welcome! your goals orei perfect Tkm Complete 200 laps, in the least amount sericirele of time flat Ikm flat Ikm * Do not spin out! The friction needed for turning (and acetation) must not exceed Mi: 0.15 (0.3 forrain) * Watch your fuel consumption. Fuel proportional to liner Acceleration. Students who find ways to Conserve fuel will be rewarded burned is directly aom for 15 m Iesar = 17am banked 31% Helpful values Friction...

  • A rocket in outer space has a payload of 5055.6 kg and 1.542 . 105 kg...

    A rocket in outer space has a payload of 5055.6 kg and 1.542 . 105 kg of fuel. The rocket can expel propellant at a speed of 5.580 km/s. Assume that the rocket starts from rest, accelerates to its final velocity, and then begins its trip. How long will it take the rocket to travel a distance of 3.82. 103 km (approximately the distance between Earth and Moon)? Question A fire hose 4.54 cm in diameter is capable of spraying...

  • There was a car accident. Someone stopped and the person behind them rear ended them. The...

    There was a car accident. Someone stopped and the person behind them rear ended them. The car that stopped slid away about 30 feet and the car that did the rear ending stopped right about where the collision happened. Was this a perfectly inelastic collision? Why or why not? A perfectly elastic collision is one in which kinetic energy is conserved. How exactly is kinetic energy not conserved though? Sometime KE can be used up compressing/bending things and making heat,...

  • mastering physics: 7.3: The Careless Roofer

    Learning Goal: To practice Problem-SolvingStrategy 7.3 Conservation of energy with nonconservativeforces.While a roofer is working on a roof that slants at = 36.0 above the horizontal,heaccidentally nudges his = 8.50 toolbox, causing it to start sliding downward,starting from rest. Africtional force of magnitude = 22.0 acts on the toolbox as it slides. If the boxstarts = 4.25 from the lower edge of the roof, how fast will the toolbox be moving just as itreaches the edge of the roof? Assume...

  • Name 37) You have been hired as an expert witness in a crash investigation. Car A of mass 1900 kg crashed into stationary car B of mass 1000 kg. You measure the coefficient of kinetic friction betwee...

    Name 37) You have been hired as an expert witness in a crash investigation. Car A of mass 1900 kg crashed into stationary car B of mass 1000 kg. You measure the coefficient of kinetic friction between the locked tires a was in park so the tires did not turn). Car A hits car B, locking bumpers so that they s bef nd the road to be 0.6 (car B kid off together. They skid 20 m ore coming to...

  • Consider the following two-caraccident: Two cars of equal mass collide at an intersection. Driver E was traveling ea...

    Consider the following two-caraccident: Two cars of equal mass collide at an intersection. Driver E was traveling eastward, anddriver N, northward. After the collision, the two cars remainjoined together and slide, with locked wheels, before coming torest. Police on the scene measure the length of the skid marks to be 9 meters. The coefficient offriction between the locked wheels and the road is equal to 0.9. Each driver claims that hisspeed was less than 14 meters per second (50 mph)....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT