Impulsive force model worksheet 4 answers

#IMPULSIVE FORCE MODEL WORKSHEET 4 ANSWERS FREE#

When Captain Picard commands, вЂњTake us out,вЂќ the starship Enterprise ( Figure 9.11) starts from rest to a final speed of v f = 7.5 Г— 10 7 m/s v f = 7.5 Г— 10 7 m/s. The general approach is the same.ДЇigure 9.11 The fictional starship Enterprise from the Star Trek adventures operated on so-called вЂњimpulse enginesвЂќ that combined matter with antimatter to produce energy. The most common questions asked in relation to impulse are to calculate the applied force, or the change of velocity that occurs as a result of applying an impulse. Thus, you must subtract the initial momentum from the final momentum, and-since momentum is also a vector quantity-you must take careful account of the signs of the momentum vectors.

An impulse does not cause momentum rather, it causes a change in the momentum of an object.

s ) i ^ they cause completely opposite changes of momentum.

s ) i ^ is very different from an impulse of + ( 10 N.

Impulse is a vector quantity an impulse of, say, в€’ ( 10 N.

There are two crucial concepts in the impulse-momentum theorem: (d) After the impulse, the ball moves off with its new momentum p в†’ f. (c) Thus, the impulse equals the change in momentum, J в†’ = О” p в†’ J в†’ = О” p в†’. (b) This impulse is added vectorially to the initial momentum. (a) A ball with initial velocity v в†’ 0 v в†’ 0 and momentum p в†’ 0 p в†’ 0 receives an impulse J в†’ J в†’. The average force during the impact is related to the impulse byДЇigure 9.10 Illustration of impulse-momentum theorem. The situation at t = 0 t = 0 is depicted below.

In that case, its initial velocity is v в†’ i = в€’ v i j ^ v в†’ i = в€’ v i j ^, and the force Earth exerts on the meteor points upward, F в†’ ( t ) = + F ( t ) j ^ F в†’ ( t ) = + F ( t ) j ^. For simplicity, assume the meteor is traveling vertically downward prior to impact. This enables us to solve for the maximum force.Дefine upward to be the + y-direction. Next, we choose a reasonable force function for the impact event, calculate the average value of that function Equation 9.4, and set the resulting expression equal to the calculated average force. We then use the relationship between force and impulse Equation 9.5 to estimate the average force during impact.

Using the given data about the meteor, and making reasonable guesses about the shape of the meteor and impact time, we first calculate the impulse using Equation 9.6. Therefore, weвЂ™ll calculate the force on the meteor and then use NewtonвЂ™s third law to argue that the force from the meteor on Earth was equal in magnitude and opposite in direction. It is conceptually easier to reverse the question and calculate the force that Earth applied on the meteor in order to stop it. (credit: modification of work by вЂњShane.torgersonвЂќ/Wikimedia Commons) The amount by which the objectвЂ™s motion changes is therefore proportional to the magnitude of the force, and also to the time interval over which the force is applied.ДЇigure 9.7 The Arizona Meteor Crater in Flagstaff, Arizona (often referred to as the Barringer Crater after the person who first suggested its origin and whose family owns the land). Alternatively, the more time you spend applying this force, again the larger the change of momentum will be, as depicted in Figure 9.5. Clearly, the larger the force, the larger the objectвЂ™s change of momentum will be.

#IMPULSIVE FORCE MODEL WORKSHEET 4 ANSWERS FREE#

Suppose you apply a force on a free object for some amount of time. The purpose of this section is to explore and describe that connection. This indicates a connection between momentum and force. Therefore, if an objectвЂ™s velocity should change (due to the application of a force on the object), then necessarily, its momentum changes as well. We have defined momentum to be the product of mass and velocity.

Apply the impulse-momentum theorem to solve problems.

By the end of this section, you will be able to:

Impulsive force model worksheet 4 answers