16. Exercises - Versionshistorik

Ian den 14 november 2009 kl. 18.16

Ian — Sat, 14 Nov 2009 18:16:10 GMT

← Äldre version		Versionen från 14 november 2009 kl. 18.16
Rad 100:		Rad 100:

	</div>{{#NAVCONTENT:Answer\|Answer 16.9\|Solution\|Solution 16.9}}		</div>{{#NAVCONTENT:Answer\|Answer 16.9\|Solution\|Solution 16.9}}
		+
		+	===Exercise 16.10===
		+	<div class="ovning">
		+
		+	Two particles, ''A'' and ''B'', have velocities (<math>4\mathbf{i}-V\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math> and (<math>2\mathbf{i}+V\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math> respectively. The mass of ''A'' is ''m'' and the mass of ''B'' is <math>\lambda m</math>. After the collision, the particles move together with velocity (<math>3\mathbf{i}+2\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+	a) Find <math>\lambda </math>.
		+
		+	b) Find ''V''.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.10\|Solution a\|Solution 16.10a\|Solution b\|Solution 16.10b}}

Ian den 14 november 2009 kl. 18.07

Ian — Sat, 14 Nov 2009 18:07:38 GMT

← Äldre version		Versionen från 14 november 2009 kl. 18.07
Rad 76:		Rad 76:
	<div class="ovning">		<div class="ovning">

-	Two identical particles, A and B are travelling in perpendicular directions when they collide. Particle A is travelling at 5 <math>\text{m}{{\text{s}}^{-1}}</math> and B at 8 <math>\text{m}{{\text{s}}^{-1}}</math> when they collide. During the collision the particles coalesce to form a single particle.	+	Two identical particles, ''A'' and ''B'' are travelling in perpendicular directions when they collide. Particle A is travelling at 5 <math>\text{m}{{\text{s}}^{-1}}</math> and B at 8 <math>\text{m}{{\text{s}}^{-1}}</math> when they collide. During the collision the particles coalesce to form a single particle.

	a) Find the speed of the combined particle after the collision.		a) Find the speed of the combined particle after the collision.
Rad 92:		Rad 92:

	</div>{{#NAVCONTENT:Answer\|Answer 16.8\|Solution\|Solution 16.8}}		</div>{{#NAVCONTENT:Answer\|Answer 16.8\|Solution\|Solution 16.8}}
		+
		+
		+	===Exercise 16.9===
		+	<div class="ovning">
		+
		+	Two particles, ''A'' and ''B'', have velocities (<math>8\mathbf{i}+7\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math> and <math>U\mathbf{i}+V\mathbf{j}</math> respectively when they collide. After the collision ''A'' travels in the direction of <math>\mathbf{i}</math> at 5 <math>\text{m}{{\text{s}}^{-1}}</math> and ''B'' travels in the direction of <math>\mathbf{j}</math> at 2 <math>\text{m}{{\text{s}}^{-1}}</math>. Given that the mass of ''A'' is twice the mass of ''B'', find ''U'' and ''V''.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.9\|Solution\|Solution 16.9}}

Ian den 14 november 2009 kl. 18.00

Ian — Sat, 14 Nov 2009 18:00:17 GMT

← Äldre version		Versionen från 14 november 2009 kl. 18.00
Rad 84:		Rad 84:

	</div>{{#NAVCONTENT:Answer\|Answer 16.7\|Solution a\|Solution 16.7a\|Solution b\|Solution 16.7b}}		</div>{{#NAVCONTENT:Answer\|Answer 16.7\|Solution a\|Solution 16.7a\|Solution b\|Solution 16.7b}}
		+
		+
		+	===Exercise 16.8===
		+	<div class="ovning">
		+
		+	Red and white snooker balls have the same mass. A white ball is moving at 1 <math>\text{m}{{\text{s}}^{-1}}</math>, when it collides with a red ball which is at rest. After the collision the white ball travels at 0.8 <math>\text{m}{{\text{s}}^{-1}}</math> and it is deflected through 60<math>{}^\circ </math> from its original path. Find the speed of the red ball after the collision.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.8\|Solution\|Solution 16.8}}

Ian den 14 november 2009 kl. 17.56

Ian — Sat, 14 Nov 2009 17:56:47 GMT

← Äldre version		Versionen från 14 november 2009 kl. 17.56
Rad 70:		Rad 70:

	</div>{{#NAVCONTENT:Answer\|Answer 16.6\|Solution\|Solution 16.6}}		</div>{{#NAVCONTENT:Answer\|Answer 16.6\|Solution\|Solution 16.6}}
		+
		+
		+
		+	===Exercise 16.7===
		+	<div class="ovning">
		+
		+	Two identical particles, A and B are travelling in perpendicular directions when they collide. Particle A is travelling at 5 <math>\text{m}{{\text{s}}^{-1}}</math> and B at 8 <math>\text{m}{{\text{s}}^{-1}}</math> when they collide. During the collision the particles coalesce to form a single particle.
		+
		+	a) Find the speed of the combined particle after the collision.
		+
		+	b) Find the angle between the velocity of A before the collision and the velocity of the combined particle after the collision.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.7\|Solution a\|Solution 16.7a\|Solution b\|Solution 16.7b}}

Ian den 13 november 2009 kl. 12.52

Ian — Fri, 13 Nov 2009 12:52:33 GMT

← Äldre version		Versionen från 13 november 2009 kl. 12.52
Rad 63:		Rad 63:
	===Exercise 16.6===		===Exercise 16.6===
	<div class="ovning">		<div class="ovning">
		+
		+	Two particles A and B, have masses 2 kg and 3kg respectively. Before a collision between the two particles, they have velocities (<math>9\mathbf{i}+5\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math> and (<math>-3\mathbf{i}+4\mathbf{j}</math>) <math>\text{m}{{\text{s}}^{-1}}</math> respectively, where <math>\mathbf{i}</math> and <math>\mathbf{j}</math> are perpendicular unit vectors. During the collision the two particles coalesce and move together after the collision.
		+
		+	Find the velocity of the particles after the collision.


	</div>{{#NAVCONTENT:Answer\|Answer 16.6\|Solution\|Solution 16.6}}		</div>{{#NAVCONTENT:Answer\|Answer 16.6\|Solution\|Solution 16.6}}

Ian den 13 november 2009 kl. 12.45

Ian — Fri, 13 Nov 2009 12:45:27 GMT

← Äldre version		Versionen från 13 november 2009 kl. 12.45
Rad 20:		Rad 20:


-	===Exercise 16.1===	+	===Exercise 16.2===
	<div class="ovning">		<div class="ovning">

		+	A child of mass 40 kg stands on a skate board, of mass 2 kg. Initially both are at rest. The boy jumps off so that he travels horizontally at 3 <math>\text{m}{{\text{s}}^{-1}}</math>. Find the speed of the skateboard.

-	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}	+	</div>{{#NAVCONTENT:Answer\|Answer 16.2\|Solution\|Solution 16.2}}




-	===Exercise 16.1===	+	===Exercise 16.3===
	<div class="ovning">		<div class="ovning">

-	<~~/div~~>{{~~#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.~~1}}	+	Two particles travel towards each other along a straight line. One has mass 3 kg and speed 4 ms-1. The other has mass 5kg and speed 2 <math>\text{m}{{\text{s}}^{-1}}</math>. When they collide the 3kg mass is brought to rest. What happens to the 5kg mass ?

		+	</div>{{#NAVCONTENT:Answer\|Answer 16.3\|Solution\|Solution 16.3}}



-	===Exercise 16.1===	+
		+	===Exercise 16.4===
	<div class="ovning">		<div class="ovning">

		+	A toy train, of mass 200 grams, is moving along a straight track at 1.8 <math>\text{m}{{\text{s}}^{-1}}</math>, when it collides with a stationary truck of mass, of mass 300 grams, during the collision the trucks are coupled together. Find the speed of the truck after the collision.

-	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}	+	</div>{{#NAVCONTENT:Answer\|Answer 16.4\|Solution\|Solution 16.4}}




-	===Exercise 16.1===	+	===Exercise 16.5===
	<div class="ovning">		<div class="ovning">
		+
		+	Two particles are travelling towards each other when they collide. One has mass 2kg and was travelling at 5 <math>\text{m}{{\text{s}}^{-1}}</math> before the collision and the other has mass 3 kg and a velocity of 6 <math>\text{m}{{\text{s}}^{-1}}</math> before the collision. The 2kg mass changes direction and moves at 2 <math>\text{m}{{\text{s}}^{-1}}</math> after the collision. Describe how the 3kg mass moves after the collision.


-	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}	+	</div>{{#NAVCONTENT:Answer\|Answer 16.5\|Solution\|Solution 16.5}}




-	===Exercise 16.1===	+	===Exercise 16.6===
	<div class="ovning">		<div class="ovning">


-	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}	+	</div>{{#NAVCONTENT:Answer\|Answer 16.6\|Solution\|Solution 16.6}}

Ian den 13 november 2009 kl. 12.31

Ian — Fri, 13 Nov 2009 12:31:57 GMT

← Äldre version		Versionen från 13 november 2009 kl. 12.31
Rad 6:		Rad 6:
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}
		+
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+
		+	A car, of mass 1000 kg, is travelling at 20 <math>\text{m}{{\text{s}}^{-1}}</math>, when it drives into a truck, of mass 4000 kg, which was moving at 10 <math>\text{m}{{\text{s}}^{-1}}</math> in the same direction. After the collision the two vehicles move together. Find the speed of the vehicles after the collision.
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}
		+
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}
		+
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}
		+
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}
		+
		+
		+
		+
		+	===Exercise 16.1===
		+	<div class="ovning">
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 16.1\|Solution\|Solution 16.1}}

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Ian — Tue, 29 Sep 2009 14:54:40 GMT

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