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Chapter 11: Q. 35 (page 288)

A small rocket with 15 kN thrust burns 250 kg of fuel in 30 s. What is the exhaust speed of the hot gases?

Short Answer

Expert verified

The exhaust speed is1800m/s

Step by step solution

01

Step 1. Given information

Thrust, F=15kN

Mass, m=250kg

Time, t=30s

To evaluate the exhaust speed.

02

Step 2. Analyze and evaluate

The exhaust gas and rocket system maintain their momentum. The force equal to the product of the exhaust speed and the rate at which fuel is burnt is known as thrust.

Fthrust=vexR=vexdmdtvex=Fthrust(dm/dt)

Now, the rate is, dmdt=250kg30s=8.33kg/sdmdt=250kg30s=8.33kg/s

Substitute and evaluate,

vex=150008.33=1800m/s

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Most popular questions from this chapter

Air-track gliders with masses 300g,400g,and200gare lined up and held in place with lightweight springs compressed between them. All three are released at once. The 200gglider flies off to the right while the300g glider goes left. Their position-versus-time graphs, as measured by motion detectors, are shown in FIGURE P11.44. What are the direction (right or left) and speed of the 400 g glider that was in the middle?

A 0.2 kg plastic cart and a 20 kg lead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a time of 1 s, starting from rest. After the force is removed at t = 1 s, is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain

A 5000kgopen train car is rolling on frictionless rails at 22m/swhen it starts pouring rain. A few minutes later, the car鈥檚 speed is 20m/s. What mass of water has collected in the car?

A 2.0kgobject is moving to the right with a speed of 1.0m/swhen it experiences the force shown in FIGURE EX11.9. What are the object鈥檚 speed and direction after the force ends?

(3000kg)vfx=(2000kg)(5.0m/s)+(1000kg)(-4.0m/s)

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem, including a pictorial representation.
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