Mathonline - Användarbidrag [sv]

Solution 2.2

2015-08-26T14:49:13Z

Ian: Skapade sidan med 'There must be a resultant force acting on the body to keep it moving in a circle. If the forces on the body were in equilibrium the body would move in a straight line accordin...'

There must be a resultant force acting on the body to keep it moving in a circle. If the forces on the body were in equilibrium the body would move in a straight line according to Newton´s first law.

Answer 2.2

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Ian: Skapade sidan med 'No, as direction changing'

No, as direction changing

Solution 2.1b

2015-08-26T14:44:41Z

Ian: Skapade sidan med 'The mass of the man is 75 kg, which means his weight is 759.8=735 N Assuming the mans weight is distributed evenly on both feet, each foot experiences a force 367.5 N.'

The mass of the man is 75 kg, which means his weight is 759.8=735 N

Assuming the mans weight is distributed evenly on both feet, each foot experiences a force 367.5 N.

Fil:Brainiac.jpg

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Fil:Cans1.jpg

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Fil:Fig drum2.jpg

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Fil:Bike.JPG

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Fil:Bike.JPG

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Fil:Bike.JPG

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2. Exercises

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Ian: Skapade sidan med '__NOTOC__ {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" |   {{Not selected tab|2. Introdu...'

__NOTOC__
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #797979" width="5px" |  
{{Not selected tab|[[2. Introduction to force and gravity|Theory]]}}
{{Selected tab|[[2. Exercises|Exercises]]}}
{{Not selected tab|[[2. Video|Video]]}}
| style="border-bottom:1px solid #797979" width="100%"|  
|}

===Exercise 2.1===
<div class="ovning">
A man, of mass 75 kg, stands on a horizontal surface. Assume that the man has two points of contact with the ground.

a) Draw a diagram to show the forces acting on the man.

b) Calculate the magnitude of each of these forces.

</div>{{#NAVCONTENT:Answer|Answer 2.1|Solution a|Solution 2.1a|Solution b|Solution 2.1b}}

===Exercise 2.2===
<div class="ovning">
An aeroplane circles an airport at a constant speed. Are the forces acting on the aeroplane in equilibrium? Explain your answer.

</div>{{#NAVCONTENT:Answer|Answer 2.2|Solution|Solution 2.2}}

===Exercise 2.3===
<div class="ovning">
A helicopter, of mass 800 kg, is rising at a constant rate.

a) Are the forces acting on the helicopter in equilibrium?

b) Calculate the magnitude of the vertical lift force on the helicopter.

</div>{{#NAVCONTENT:Answer|Answer 2.3|Solution a|Solution 2.3a|Solution b|Solution 2.3b}}

===Exercise 2.4===
<div class="ovning">
Calculate the magnitude of the force that gravity exerts on each of the following objects.

a) A car of mass 1250 kg.

b) A table tennis ball of mass 4 grams.

c) A lorry of mass 4.2 tonnes.

</div>{{#NAVCONTENT:Answer|Answer 2.4|Solution a|Solution 2.4a|Solution b|Solution 2.4b|Solution c|Solution 2.4c}}

===Exercise 2.5===
<div class="ovning">

The weight of a body is 441 N. Calculate the mass of the body.

</div>{{#NAVCONTENT:Answer|Answer 2.5|Solution|Solution 2.5}}

===Exercise 2.6===
<div class="ovning">
A satellite, of mass 300 kg, orbits the earth at a height of 7000 km above the surface of the earth. Calculate the magnitude of the gravitational attraction that acts on the satellite.

</div>{{#NAVCONTENT:Answer|Answer 2.6|Solution|Solution 2.6}}

===Exercise 2.7===
<div class="ovning">
The mass of the moon is <math>\text{7}\textrm{.}\text{38}\times \text{1}{{0}^{22}}</math> kg and the radius of the moon is <math>\text{1}\textrm{.}\text{73}\times \text{1}{{0}^{6}}</math> m. Determine the acceleration due to gravity on the moon, by considering the force that the moon exerts on a particle of mass 1 kg on its surface.

</div>{{#NAVCONTENT:Answer|Answer 2.7|Solution|Solution 2.7}}

===Exercise 2.8===
<div class="ovning">

A planet has a mass of
<math>\text{5}\times \text{1}{{0}^{20}}</math>
kg and on this planet the acceleration due to gravity is 3.2 ms-1. Determine the radius of the planet.

</div>{{#NAVCONTENT:Answer|Answer 2.8|Solution|Solution 2.8}}

===Exercise 2.9===
<div class="ovning">
A man, of mass 80 kg, climbs 5000 m to the top of a mountain.

a) Use the Universal Law of Gravitation to calculate the gravitational attraction on the man.

b) Compare your answer to part (a) with the result given by using ''mg''.

</div>{{#NAVCONTENT:Answer|Answer 2.9|Solution a|Solution 2.9a|Solution b|Solution 2.9b}}

===Exercise 2.10===
<div class="ovning">
The mass of Mars is <math>\text{6}\textrm{.}\text{42}\times \text{1}{{0}^{23}}</math> kg and the radius of the planet is 3400 km.
What is the acceleration due to gravity on Mars?

</div>{{#NAVCONTENT:Answer|Answer 2.10|Solution|Solution 2.10}}

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1. Video

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__NOTOC__
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #797979" width="5px" |  
{{Not selected tab|[[1. What is a force?|Introduction]]}}
{{Selected tab|[[1. Video|Video]]}}
|style="border-bottom:1px solid #797979" width="100%"|  
|}

{| width="500px" cellspacing="10px" align="left" border="1"
| '''The Bike Question'''
| valign="top"|

|-
| [[Image:Bike.JPG]]
| valign="top"| If you are unable to do the bike experiment for yourself, try watching in on the link below.

http://www.youtube.com/watch?v=DGTe5T4LIZY

|-
| '''The Drum Question'''
|valign="top"|
|-
| [[Image:fig drum2.jpg]]
|valign="top"| If you are unable to do the drum experiment for yourself, try watching in on the link below.

http://www.youtube.com/watch?v=O5vvSJjqTOU

|-
| '''The Rolling Cans'''
|valign="top"|
|-
| [[Image:cans1.jpg]]
|valign="top"| An interesting experiment involves the comparison of the motion of two tin cans when they roll and slide. This is an experiment that you could carry out yourself, or you could watch at the link below.

http://www.youtube.com/watch?v=Vx6he1pDtes

|-
| '''Brainiac Eggsperiment'''
|valign="top"|
|-
| [[Image:brainiac.jpg]]
|valign="top"| This is a great experiment that demonstrates Newton’s First law of motion. Watch and enjoy at the link below.

http://www.youtube.com/watch?v=HGuIFPxuwrU

|}

1. Video

2015-07-29T18:44:32Z

Ian: Skapade sidan med '__NOTOC__ {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" |   {{Not selected tab|1. What is...'

__NOTOC__
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #797979" width="5px" |  
{{Not selected tab|[[1. What is a force?|Introduction]]}}
{{Selected tab|[[1. Video|Video]]}}
|style="border-bottom:1px solid #797979" width="100%"|  
|}

{| width="500px" cellspacing="10px" align="center" border="1"
| '''The Bike Question'''
| valign="top"|

|-
| [[Image:Bike.JPG]]
| valign="top"| If you are unable to do the bike experiment for yourself, try watching in on the link below.

http://www.youtube.com/watch?v=DGTe5T4LIZY

|-
| '''The Drum Question'''
|valign="top"|
|-
| [[Image:fig drum2.jpg]]
|valign="top"| If you are unable to do the drum experiment for yourself, try watching in on the link below.

http://www.youtube.com/watch?v=O5vvSJjqTOU

|-
| '''The Rolling Cans'''
|valign="top"|
|-
| [[Image:cans1.jpg]]
|valign="top"| An interesting experiment involves the comparison of the motion of two tin cans when they roll and slide. This is an experiment that you could carry out yourself, or you could watch at the link below.

http://www.youtube.com/watch?v=Vx6he1pDtes

|-
| '''Brainiac Eggsperiment'''
|valign="top"|
|-
| [[Image:brainiac.jpg]]
|valign="top"| This is a great experiment that demonstrates Newton’s First law of motion. Watch and enjoy at the link below.

http://www.youtube.com/watch?v=HGuIFPxuwrU

|}

Fil:Fig b.GIF

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