17. Exercises - Versionshistorik

Ian den 16 november 2009 kl. 13.26

2009-11-16T13:26:06Z

← Äldre version		Versionen från 16 november 2009 kl. 13.26
Rad 118:		Rad 118:


-	===Exercise 17.7===	+	===Exercise 17.9===
	<div class="ovning">		<div class="ovning">

Ian den 16 november 2009 kl. 13.24

2009-11-16T13:24:48Z

← Äldre version		Versionen från 16 november 2009 kl. 13.24
Rad 98:		Rad 98:

	b) Find maximum angle between the string and the vertical.		b) Find maximum angle between the string and the vertical.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.7a\|Answer b\|Answer 17.7b\|Solution a\|Solution 17.7a\|Solution b\|Solution 17.7b}}
		+
		+
		+
		+	===Exercise 17.8===
		+	<div class="ovning">
		+
		+	A ball football is kicked so that it leaves the ground travelling at 18 <math>\text{m}{{\text{s}}^{-1}}</math>. As it moves its speed drops to a minimum of 12 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+	a) Find the maximum height of the ball.
		+
		+	b) Explain why you did not need to know the mass of the ball.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.7a\|Answer b\|Answer 17.8b\|Solution a\|Solution 17.8a}}
		+
		+
		+	===Exercise 17.7===
		+	<div class="ovning">
		+
		+	A child of mass 40 kg, slides down a water slide. The difference in height between the start and end of the water slide is 12 m.
		+
		+	a) Assume that there is no resistance to the motion on the slide and calculate the speed of the child at the bottom of the slide.
		+
		+	b) If the speed of the child at the bottom of the slide is 8 <math>\text{m}{{\text{s}}^{-1}}</math>, calculate how much energy has been lost as the child moved down the slide.


	</div>{{#NAVCONTENT:Answer a\|Answer 17.7a\|Answer b\|Answer 17.7b\|Solution a\|Solution 17.7a\|Solution b\|Solution 17.7b}}		</div>{{#NAVCONTENT:Answer a\|Answer 17.7a\|Answer b\|Answer 17.7b\|Solution a\|Solution 17.7a\|Solution b\|Solution 17.7b}}

Ian den 16 november 2009 kl. 13.03

2009-11-16T13:03:21Z

← Äldre version		Versionen från 16 november 2009 kl. 13.03
Rad 87:		Rad 87:

	</div>{{#NAVCONTENT:Answer a\|Answer 17.6a\|Answer b\|Answer 17.6b\|Answer c\|Answer 17.6c\|Solution a\|Solution 17.6a\|Solution b\|Solution 17.6b\|Solution c\|Solution 17.6c}}		</div>{{#NAVCONTENT:Answer a\|Answer 17.6a\|Answer b\|Answer 17.6b\|Answer c\|Answer 17.6c\|Solution a\|Solution 17.6a\|Solution b\|Solution 17.6b\|Solution c\|Solution 17.6c}}
		+
		+
		+
		+	===Exercise 17.7===
		+	<div class="ovning">
		+
		+	A simple pendulum consists of a particle of mass 0.05 kg and a light string of length 0.8 m. When the string is vertical, the particle is moving at a speed of 1.2 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+	a) Calculate the initial kinetic energy of the particle.
		+
		+	b) Find maximum angle between the string and the vertical.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.7a\|Answer b\|Answer 17.7b\|Solution a\|Solution 17.7a\|Solution b\|Solution 17.7b}}

Ian den 15 november 2009 kl. 18.02

2009-11-15T18:02:53Z

← Äldre version		Versionen från 15 november 2009 kl. 18.02
Rad 68:		Rad 68:

	</div>{{#NAVCONTENT:Answer a\|Answer 17.5a\|Answer b\|Answer 17.5b\|Answer c\|Answer 17.5c\|Solution a\|Solution 17.5a\|Solution b\|Solution 17.5b\|Solution c\|Solution 17.5c}}		</div>{{#NAVCONTENT:Answer a\|Answer 17.5a\|Answer b\|Answer 17.5b\|Answer c\|Answer 17.5c\|Solution a\|Solution 17.5a\|Solution b\|Solution 17.5b\|Solution c\|Solution 17.5c}}
		+
		+
		+
		+	===Exercise 17.6===
		+	<div class="ovning">
		+
		+	A particle of mass 5 kg is attached to the end of a rope of length 8 metres. The other end of the rope is fixed. The particle is released from rest with the rope at an angle of 30<math>{}^\circ </math> to the vertical as shown in the diagram.
		+
		+	[[Image:E17.6.GIF]]
		+
		+	a) Calculate the initial kinetic energy of the particle.
		+
		+	b) Find the speed of the particle when the string is vertical.
		+
		+	c) As the particle swings it looses some energy due to air resistance. Because of this the string makes an angle of 28<math>{}^\circ </math> with the vertical when the string is on the opposite side to the starting position. Calculate how much energy was lost during the first swing.
		+
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.6a\|Answer b\|Answer 17.6b\|Answer c\|Answer 17.6c\|Solution a\|Solution 17.6a\|Solution b\|Solution 17.6b\|Solution c\|Solution 17.6c}}

Ian den 15 november 2009 kl. 17.50

2009-11-15T17:50:03Z

← Äldre version		Versionen från 15 november 2009 kl. 17.50
Rad 54:		Rad 54:

	</div>{{#NAVCONTENT:Answer a\|Answer 17.4a\|Answer b\|Answer 17.4b\|Solution a\|Solution 17.4a\|Solution b\|Solution 17.4b}}		</div>{{#NAVCONTENT:Answer a\|Answer 17.4a\|Answer b\|Answer 17.4b\|Solution a\|Solution 17.4a\|Solution b\|Solution 17.4b}}
		+
		+	===Exercise 17.5===
		+	<div class="ovning">
		+
		+	A rock, which has mass 3 kg, is thrown from a bridge over a river at speed of 3 <math>\text{m}{{\text{s}}^{-1}}</math>. When it hits the water, it is moving at a speed of 15 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+	a) Find the kinetic energy gained as the rock falls.
		+
		+	b) Find the potential energy lost as the rock falls.
		+
		+	c) Find the height of the bridge above the river.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.5a\|Answer b\|Answer 17.5b\|Answer c\|Answer 17.5c\|Solution a\|Solution 17.5a\|Solution b\|Solution 17.5b\|Solution c\|Solution 17.5c}}

Ian den 15 november 2009 kl. 17.45

2009-11-15T17:45:23Z

← Äldre version		Versionen från 15 november 2009 kl. 17.45
Rad 42:		Rad 42:

	</div>{{#NAVCONTENT:Answer a\|Answer 17.3a\|Answer b\|Answer 17.3b\|Answer c\|Answer 17.3c\|Solution a\|Solution 17.3a\|Solution b\|Solution 17.3b\|Solution c\|Solution 17.3c}}		</div>{{#NAVCONTENT:Answer a\|Answer 17.3a\|Answer b\|Answer 17.3b\|Answer c\|Answer 17.3c\|Solution a\|Solution 17.3a\|Solution b\|Solution 17.3b\|Solution c\|Solution 17.3c}}
		+
		+	===Exercise 17.4===
		+	<div class="ovning">
		+
		+	A brick, of mass 2 kg, is allowed to fall from rest at a height of 3.2 m. Find the kinetic energy and speed of the brick when it hits the ground;
		+
		+	a) assuming that no resistance forces act on the brick as it falls,
		+
		+	b) assuming that a constant resistance force of magnitude 10 N acts on the brick.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.4a\|Answer b\|Answer 17.4b\|Solution a\|Solution 17.4a\|Solution b\|Solution 17.4b}}

Ian den 15 november 2009 kl. 17.41

2009-11-15T17:41:04Z

← Äldre version		Versionen från 15 november 2009 kl. 17.41
Rad 26:		Rad 26:

	</div>{{#NAVCONTENT:Answer\|Answer 17.2\|Solution\|Solution 17.2}}		</div>{{#NAVCONTENT:Answer\|Answer 17.2\|Solution\|Solution 17.2}}
		+
		+
		+	===Exercise 17.3===
		+	<div class="ovning">
		+
		+	A ball, of mass 0.125 kg, is thrown so that its initial speed is
		+	12 <math>\text{m}{{\text{s}}^{-1}}</math>. As the ball moves upwards its speed decreases to 4 <math>\text{m}{{\text{s}}^{-1}}</math> when it is at its maximum height.
		+
		+	a) Calculate the initial kinetic energy of the ball.
		+
		+	b) Calculate the minimum kinetic energy of the ball.
		+
		+	c) Calculate the potential energy of the ball at its maximum height.
		+
		+
		+	</div>{{#NAVCONTENT:Answer a\|Answer 17.3a\|Answer b\|Answer 17.3b\|Answer c\|Answer 17.3c\|Solution a\|Solution 17.3a\|Solution b\|Solution 17.3b\|Solution c\|Solution 17.3c}}

Ian den 15 november 2009 kl. 17.33

2009-11-15T17:33:52Z

← Äldre version		Versionen från 15 november 2009 kl. 17.33
Rad 12:		Rad 12:
	<div class="ovning">		<div class="ovning">

-	Calculate the kinetic energy of a ~~ball~~, of mass ~~150 grams~~, travelling at <math>\text{m}{{\text{s}}^{-1}}</math>.	+	Calculate the kinetic energy of a car, of mass 1200 kg, travelling at 30 <math>\text{m}{{\text{s}}^{-1}}</math>.


-	</div>{{#NAVCONTENT:Answer\|Answer 5.8\|Solution\|Solution 5.8}}	+	</div>{{#NAVCONTENT:Answer\|Answer 17.1\|Solution\|Solution 17.1}}
		+
		+
		+
		+	===Exercise 17.2===
		+	<div class="ovning">
		+
		+	Calculate the kinetic energy of a ball, which has mass 250 grams, and which is travelling at 9 <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 17.2\|Solution\|Solution 17.2}}

Ian den 15 november 2009 kl. 17.26

2009-11-15T17:26:25Z

← Äldre version		Versionen från 15 november 2009 kl. 17.26
Rad 6:		Rad 6:
	\| style="border-bottom:1px solid #797979" width="100%"\|		\| style="border-bottom:1px solid #797979" width="100%"\|
	\|}		\|}
		+
		+
		+
		+	===Exercise 17.1===
		+	<div class="ovning">
		+
		+	Calculate the kinetic energy of a ball, of mass 150 grams, travelling at <math>\text{m}{{\text{s}}^{-1}}</math>.
		+
		+
		+	</div>{{#NAVCONTENT:Answer\|Answer 5.8\|Solution\|Solution 5.8}}

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2009-09-30T13:53:09Z

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