15. Exercises - Revision history

Ian at 14:10, 17 September 2010

2010-09-17T14:10:09Z

←Older revision		Revision as of 14:10, 17 September 2010
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	<div class="ovning">		<div class="ovning">

-	A particle, of mass m, is travelling at a of speed 4u. An impulse of magnitude kmu acts on the particle, so that it now moves perpendicular to its original path at a speed 2u.	+	A particle, of mass <math>m</math>, is travelling at a of speed <math>4u</math>. An impulse of magnitude <math>kmu</math> acts on the particle, so that it now moves perpendicular to its original path at a speed <math>2u</math>.

-	a) Find k.	+	a) Find <math>k</math>.

	b) Find the angle between the impulse and the initial velocity of the particle.		b) Find the angle between the impulse and the initial velocity of the particle.

	</div>{{#NAVCONTENT:Answer\|Answer 15.9\|Solution a\|Solution 15.9a\|Solution b\|Solution 15.9b}}		</div>{{#NAVCONTENT:Answer\|Answer 15.9\|Solution a\|Solution 15.9a\|Solution b\|Solution 15.9b}}

Ian at 09:37, 17 September 2010

2010-09-17T09:37:35Z

←Older revision		Revision as of 09:37, 17 September 2010
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	A car, of mass 1200 kg, is moving at 8 <math>\text{m}{{\text{s}}^{-1}}</math> along a straight road when the brakes are applied until it comes to rest.		A car, of mass 1200 kg, is moving at 8 <math>\text{m}{{\text{s}}^{-1}}</math> along a straight road when the brakes are applied until it comes to rest.

-	a) Find the impulse on the car.	+	a) Find the magnitude of the impulse on the car.

	b) Given that the car takes 3 seconds to come to rest, find the average resultant force on the car.		b) Given that the car takes 3 seconds to come to rest, find the average resultant force on the car.

Ian at 16:50, 15 September 2010

2010-09-15T16:50:14Z

←Older revision		Revision as of 16:50, 15 September 2010
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	A squash ball, of mass 40 grams, hits a wall travelling horizontally at 9 <math>\text{m}{{\text{s}}^{-1}}</math> and rebounds at 7 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that the motion is perpendicular to the wall.		A squash ball, of mass 40 grams, hits a wall travelling horizontally at 9 <math>\text{m}{{\text{s}}^{-1}}</math> and rebounds at 7 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that the motion is perpendicular to the wall.

-	~~</div>{{#NAVCONTENT:Answer\|Answer 15~~.~~5\|Solution\|Solution 15.5}}~~	+	a) Calculate the magnitude of the impulse on the ball.

		+	b) Given that the ball is in contact with the wall for 0.2 seconds, find the magnitude of the average force on the ball.
		+
		+	c) Given that the average force on the ball while it is in contact with the wall has magnitude 10 N, find the time for which the ball is in contact with the wall.
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 15.5a\|Answer b\|Answer 15.5b\|Answer c\|Answer 15.5c\|Solution a\|Solution 15.5a\|Solution b\|Solution 15.5b\|Solution c\|Solution 15.5c}}

	===Exercise 15.6===		===Exercise 15.6===

Ian at 16:44, 15 September 2010

2010-09-15T16:44:39Z

←Older revision		Revision as of 16:44, 15 September 2010
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	<div class="ovning">		<div class="ovning">

-	A squash ball, of mass ~~??? of~~ grams, hits a wall travelling horizontally at 9 <math>\text{m}{{\text{s}}^{-1}}</math> and rebounds at 7 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that the motion is perpendicular to the wall.	+	A squash ball, of mass 40 grams, hits a wall travelling horizontally at 9 <math>\text{m}{{\text{s}}^{-1}}</math> and rebounds at 7 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that the motion is perpendicular to the wall.

	</div>{{#NAVCONTENT:Answer\|Answer 15.5\|Solution\|Solution 15.5}}		</div>{{#NAVCONTENT:Answer\|Answer 15.5\|Solution\|Solution 15.5}}

Ian at 17:18, 11 November 2009

2009-11-11T17:18:54Z

←Older revision		Revision as of 17:18, 11 November 2009
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	c) Find the angle between the initial and final velocities of the car.		c) Find the angle between the initial and final velocities of the car.
-


	</div>{{#NAVCONTENT:Answer a\|Answer 15.8a\|Answer b\|Answer 15.8b\|Answer c\|Answer 15.8c\|Solution a\|Solution 15.8a\|Solution b\|Solution 15.8b\|Solution c\|Solution 15.8c}}		</div>{{#NAVCONTENT:Answer a\|Answer 15.8a\|Answer b\|Answer 15.8b\|Answer c\|Answer 15.8c\|Solution a\|Solution 15.8a\|Solution b\|Solution 15.8b\|Solution c\|Solution 15.8c}}
		+
		+
		+
		+	===Exercise 15.9===
		+	<div class="ovning">
		+
		+	A particle, of mass m, is travelling at a of speed 4u. An impulse of magnitude kmu acts on the particle, so that it now moves perpendicular to its original path at a speed 2u.
		+
		+	a) Find k.
		+
		+	b) Find the angle between the impulse and the initial velocity of the particle.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 15.9\|Solution a\|Solution 15.9a\|Solution b\|Solution 15.9b}}

Ian at 17:15, 11 November 2009

2009-11-11T17:15:47Z

←Older revision		Revision as of 17:15, 11 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 15.7\|Solution a\|Solution 15.7a\|Solution b\|Solution 15.7b}}		</div>{{#NAVCONTENT:Answer\|Answer 15.7\|Solution a\|Solution 15.7a\|Solution b\|Solution 15.7b}}
		+
		+
		+	===Exercise 15.8===
		+	<div class="ovning">
		+
		+	A car, of mass 1250 kg is moving at 15 <math>\text{m}{{\text{s}}^{-1}}</math>, when it is hit by another vehicle. The other vehicle exerts a force of magnitude 800 N for 3 seconds. This force is perpendicular to the original path of the car.
		+
		+	a) Calculate the magnitude of the impulse on the car.
		+
		+	b) Find the speed of the car after the collision.
		+
		+	c) Find the angle between the initial and final velocities of the car.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 15.8a\|Answer b\|Answer 15.8b\|Answer c\|Answer 15.8c\|Solution a\|Solution 15.8a\|Solution b\|Solution 15.8b\|Solution c\|Solution 15.8c}}

Ian at 17:12, 11 November 2009

2009-11-11T17:12:24Z

←Older revision		Revision as of 17:12, 11 November 2009
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	A particle, of mass 2kg, is sliding at 12 <math>\text{m}{{\text{s}}^{-1}}</math> when it is hits a wall. After hitting the wall, the particle moves at a speed of 6 <math>\text{m}{{\text{s}}^{-1}}</math> at right angles to its original direction of motion.		A particle, of mass 2kg, is sliding at 12 <math>\text{m}{{\text{s}}^{-1}}</math> when it is hits a wall. After hitting the wall, the particle moves at a speed of 6 <math>\text{m}{{\text{s}}^{-1}}</math> at right angles to its original direction of motion.

-	</div>{{#NAVCONTENT:Answer\|Answer 15.7\|Solution\|Solution 15.7}}	+	a) Find the magnitude of the impulse on the particle.
		+
		+	b) Given that the impulse is perpendicular to the wall, find the angle between the wall and the initial direction of motion of the particle..
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 15.7\|Solution a\|Solution 15.7a\|Solution b\|Solution 15.7b}}

Ian at 17:09, 11 November 2009

2009-11-11T17:09:08Z

←Older revision		Revision as of 17:09, 11 November 2009
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	b) Given that the car takes 3 seconds to come to rest, find the average resultant force on the car.		b) Given that the car takes 3 seconds to come to rest, find the average resultant force on the car.
-


	</div>{{#NAVCONTENT:Answer\|Answer 15.6\|Solution a\|Solution 15.6a\|Solution b\|Solution 15.6b}}		</div>{{#NAVCONTENT:Answer\|Answer 15.6\|Solution a\|Solution 15.6a\|Solution b\|Solution 15.6b}}
		+
		+
		+
		+	===Exercise 15.7===
		+	<div class="ovning">
		+
		+	A particle, of mass 2kg, is sliding at 12 <math>\text{m}{{\text{s}}^{-1}}</math> when it is hits a wall. After hitting the wall, the particle moves at a speed of 6 <math>\text{m}{{\text{s}}^{-1}}</math> at right angles to its original direction of motion.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 15.7\|Solution\|Solution 15.7}}

Ian at 17:06, 11 November 2009

2009-11-11T17:06:57Z

←Older revision		Revision as of 17:06, 11 November 2009
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	</div>{{#NAVCONTENT:Answer\|Answer 15.5\|Solution\|Solution 15.5}}		</div>{{#NAVCONTENT:Answer\|Answer 15.5\|Solution\|Solution 15.5}}
		+
		+
		+	===Exercise 15.6===
		+	<div class="ovning">
		+
		+	A car, of mass 1200 kg, is moving at 8 <math>\text{m}{{\text{s}}^{-1}}</math> along a straight road when the brakes are applied until it comes to rest.
		+
		+	a) Find the impulse on the car.
		+
		+	b) Given that the car takes 3 seconds to come to rest, find the average resultant force on the car.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 15.6\|Solution a\|Solution 15.6a\|Solution b\|Solution 15.6b}}

Ian at 16:43, 11 November 2009

2009-11-11T16:43:42Z

←Older revision		Revision as of 16:43, 11 November 2009
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	</div>{{#NAVCONTENT:Answer a\|Answer 15.4a\|Answer b\|Answer 15.4b\|Answer c\|Answer 15.4c\|Solution a\|Solution 15.4a\|Solution b\|Solution 15.4b\|Solution c\|Solution 15.4c}}		</div>{{#NAVCONTENT:Answer a\|Answer 15.4a\|Answer b\|Answer 15.4b\|Answer c\|Answer 15.4c\|Solution a\|Solution 15.4a\|Solution b\|Solution 15.4b\|Solution c\|Solution 15.4c}}
		+
		+
		+	===Exercise 15.5===
		+	<div class="ovning">
		+
		+	A squash ball, of mass ??? of grams, hits a wall travelling horizontally at 9 <math>\text{m}{{\text{s}}^{-1}}</math> and rebounds at 7 <math>\text{m}{{\text{s}}^{-1}}</math>. Assume that the motion is perpendicular to the wall.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 15.5\|Solution\|Solution 15.5}}