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29 Nov 2019

A rocket is at rest on the launch pad. When the rocket is launched, its kinetic energy increases. Consider all of the forces acting on the rocket during the launch, and decide whether the following statement is true or false: The amount by which the kinetic energy of the rocket increases during the launch is equal to the work done by the force generated by the rocket's engine.

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17 Dec 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A 1200 kg car drives up a hill that is 15.7 m high. During the drive, two nonconservative forces do work on the car: (i) the force of friction, and (ii) the force generated by the car's engine. The work done by friction is -3.11Ɨ105 J ; the work done by the engine is 6.44Ɨ105 J. Find the change in the car's kinetic energy from the bottom of the hill to the top of the hill.

The kinetic energyĀ Kof an object of massĀ mmoving at a speedĀ vis defined asĀ K=(1/2)mv^2. It seems reasonable to say that the speed of an object--and, therefore, its kinetic energy--can be changed by performing work on the object. In this problem, we will explore the mathematical relationship between the work done on an object and the change in the kinetic energy of that object.

Let us now consider the situation quantitatively. Let the mass of the sled beĀ  m Ā and the magnitude of the net force acting on the sled beF_net. The sled starts from rest.

Consider an interval of time during which the sled covers a distance sand the speed of the sled increases fromĀ v_1Ā toĀ v_2. We will use this information to find the relationship between the work done by the net force (otherwise known as the network) and the change in the kinetic energy of the sled.
H)
Find the net forceĀ F_netĀ acting on the sled.
Express your answer in terms of someor all of the variablesĀ m,s,v_1, andĀ v_2.
I)
Find the net workĀ W_netĀ done on the sled.
Express your answer in terms of someor all of the variablesĀ F_netĀ andĀ s.
The kinetic energyĀ Kof an object of massĀ mmoving at a speedĀ vis defined asĀ K=(1/2)mv^2. It seems reasonable to say that the speed of anobject--and, therefore, its kinetic energy--can be changed byperformingĀ workĀ on the object. In this problem, we willexplore the mathematical relationship between the work done on anobject and the change in the kinetic energy of that object.

Let us now consider the situationquantitatively. Let the mass of the sled beĀ mĀ and the magnitude of the net force acting on the sled beF_net. The sled starts from rest.

Consider an interval of time duringwhich the sled covers a distanceĀ sand the speed of the sled increases fromĀ v_1Ā toĀ v_2. We will use this information to find the relationshipbetween the work done by the net force (otherwise known as thenet work) and the change in the kinetic energy of thesled.
H)
Find the net forceĀ F_netĀ acting on the sled.
Express your answer in terms of someor all of the variablesĀ m,s,v_1, andĀ v_2.
I)
Find the net workĀ W_netĀ done on the sled.
Express your answer in terms of someor all of the variablesĀ F_netĀ andĀ s.

A 1250 kg car drives up a hill that is 16.2 m high. During thedrive, two nonconservative forces do work on the car: (i) the forceof friction, and (ii) the force generated by the car's engine. Thework done by friction is -3.11ƃĀ—10^5 J; the work done by the engineis 6.44ƃĀ—10^5 J. Find the change in the car's kinetic energy fromthe bottom of the hill to the top of the hill.
?K=____J

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