Showing posts with label Section 1: Forces and motion. Show all posts
Showing posts with label Section 1: Forces and motion. Show all posts

Sunday, 1 April 2012

Astronomy

As requested, hope this helps! I don't actually have much on Astronomy.. :S But I'll update it if I find out more.


1.30 recall that the moon orbits the Earth and that some planets also have moons

  • Mars- 2 small moons
  • Jupiter- 16 moons, some have volcanoes
  • Saturn-more than 20 moons
  • Uranus-15 moons
  • Neptune-8 moons, one with volcanoes
1.31 understand gravitational field strength, g, and recall that it is different on other planets and the moon from that on the Earth

g: defined as the gravitational force acting per unit mass on an object. This is different on other planets and the moon compared to on Earth. 

Planet
Surface gravity (N/kg)
Mercury
4
Venus
9
Earth
10
-Moon
1.6
Mars
4
Jupiter
26
Saturn
11
Uranus
11
Neptune
12
This means that a 1 kg mass experiences a force of 10N on Earth due to Earth's gravitational pull. 
Gravitational field strength is equal to the acceleration of objects under its influence. On Earth g = 9.8 m/s2.


This means that if an object was to fall freely (without air resistance) on Earth,  its velocity would increase by 
9.8 m/s for each second of it falling. So an object starting from rest would reach a velocity of 9.8 m/s after one second, and 19.6 m/s after two seconds etc. 
But for most papers at the start they say assume g=10 m/s...

1.32 Explain that gravitational force:
  • causes the planets to orbit the sun
  • causes the moon and artificial satellites to orbit the Earth
  • causes comets to orbit the sun
The planets further away from the Sun travel more slowly because the further the distance away, the smaller the gravitational pull. 
NB: There is a gravitational pull between all masses. Larger masses give a stronger pull. Every object is surrounded by its own gravitational field, which exerts an attractive force on all objects. As the Earth is greater than the moon, it attracts the moon and causes it to orbit the Earth, and 'g' on the moon is much smaller than on Earth. 
Planets do not give out their own light. They just reflect the Sun's light. 

1.33 use the relationship between orbital speed, orbital radius and time period:

Orbital speed= 2 x π x orbital radius / time period

v= 2 x π x r / T 

1.34 describe how the orbit of a comet differs from that of a planet

Comets may be 'left-overs' from when the solar system was formed. They're lumps of ice, dust and gas. They have very elliptical orbits, which bring them close to the Sun and then far out in the solar system. When they fall near the Sun they speed up as the pull of gravity increases. The dust and gas are blown away from the Sun and shine in the sunlight, to form a long 'tail'. 

(The orbit of each planet is not quite a circle. It is a slightly squashed circle called an ellipse, but a comet's orbit is much more obviously elliptical.)





1.35 recall that the solar system is part of the Milk Way galaxy:
  • describe a galaxy as a large collection of billions of stars
  • state that the universe is a large collection of billions of galaxies

Saturday, 31 March 2012

Forces, movement, shape and momentum

(as momentum is for Single Science, I won't be talking about it unless you want smth on it, anything for Single Science is labelled SS in front of the specification point.)

1.8 express a force as a push or pull of one body on another

A force is a push or pull that one object exerts on another
3 things a force can do to an object:

  • change its speed
  • change is shape
  • change its direction
1.9 identify various types of force (for example gravitational, electrostatic etc.)

various types of force:
  • push/pull (contact force)
  • tension-the pull at both ends of a stretch spring, string or rope
  • compression
  • thrust/upthrust
  • load
  • effort
  • *weight/gravitational
  • *electrical/electrostatic
  • *magnetic
*the last three forces are non-contact, they can act without touching an object

SS 1.10 distinguish between vector and scalar quantities 
Scalars have magnitude (size), Vectors have both magnitude and direction. 
Scalars
Vectors
Speed
Velocity
Distance
Displacement
Mass
Weight/tension/compression à forces
Temperature
Thrust
Energy
Drag
Charge
Upthrust
Volume
Acceleration
Area
Field strength – magnetic/electrical/gravitational


SS 1.11 appreciate the vector nature of a force
Forces have magnitude and direction, it is therefore a vector. For example, weight is a force with magnitude, and it acts downwards. It is a vector, and you would normally use an arrow pointing downwards with its magnitude ("xN" N being the unit-Newtons) to represent it in a diagram.

SS 1.12 add forces that act along a line
The forces act along a line, meaning they are collinear. You can add the forces together like scalars. For instance if two forces are acting on a box, both pushing towards the right side, one with a force of 4N and the other with 6N, then 4N+6N=10N (resultant force). So a total of 10N is acting on the box, pushing it to the right. 

However, if one of the forces was acting to the left with say, 2N and the other to the right with 7N, then the resultant is 5N to the right. The 2N to the left cancels out 2N from the right.  You can think of the force acting to the left as a negative value, like the reverse direction, so 7N + (-2N) = 5N. It's good to use diagrams to help you out. 

1.13 understand that friction is a force that opposes motion
Friction is a force that always opposes motion between 2 surfaces in contact.

1.14 recall and use the relationship between unbalanced force, mass and acceleration:

force=mass x acceleration
F= m.a

1.15 recall and use the relationship between weight, mass and g:

weight= mass x g
W= m x g
g=gravitational field strength, this is the gravitational force exerted per unit mass at a point in the field, it is a vector quantity. unit= N/kg
on earth, we consider g as 10N/kg, or g = 9.8 m/sbut we use g = 10 m/sthis is how an object in the Earth's gravitational field would accelerate if it was free fall-without friction (this doesn't happen in the real world). 
( to explain how we get to this:
a= F/m = mg/m = g ) 

1.16 describe the forces acting on falling objects and explain why falling objects reach a terminal velocity

2 forces act on falling objects: 
  • Earth's gravity-Weight (W): has direction (vector quantity), pulls object downwards towards the centre of the Earth
  • air resistance/drag (D)--upwards force, pushes object upwards
Air resistance increases with speed. When an object first starts falling, their weight is greater than air resistance. (W>D) Hence it falls faster, accelerating towards the ground. However, as it gains speed, the air resistance increases until it eventually equals the object's weight. (W=D) Acceleration then becomes zero (a=0) and the object will have reached terminal velocity. 

1.17 describe the factors affecting vehicle stopping distance including speed, mass, road condition and reaction time

vehicle stopping distance= *( reaction time (a.k.a thinking time) x constant speed ) + breaking distance 
vehicle stopping distance= thinking distance + braking distance
*d=s x t, so it becomes thinking distance
thinking distance: how far the car travels at constant speed before the driver reacts by applying the car brakes
braking distance: distance travelled by the car as it decelerates to a stop


  • as speed increases, stopping distance increases
  • as mass increases, force needed to stop car increases (F=ma)
  • dry weather=more friction, rainy=less friction, as water acts as lubricant
  • as reaction time increases, stopping distance increases (If driver was drunk, their reaction would be slower, so reaction time increases, hence stopping distance increases)
SS 1.18 recall and use the relationship between momentum, mass and velocity:
momentum = mass x velocity
p= m x v

SS 1.19 use the ideas of momentum to explain safety features

SS 1.20 use the conservation of momentum to calculate the mass, velocity or momentum of objects

SS 1.21 use the relationship between force, change in momentum and time taken:
force= change in momentum/time taken

SS 1.22 understand Newton's third law
Newton's Third Law of Motion:
For every action, there is an equal and opposite reaction, and these forces act on mutually opposite bodies. 
i.e. forces occur in pairs.
Fab = -Fab

E.g. when an object is falling, not only is weight acting on it downwards, but there is also air resistance pushing it upwards -- the forces act in opposite directions on the same object.
Or for instance, when a car is driving, the driving force pushes the car forwards, but there is also friction acting in the opposite direction, if the driving force wasn't bigger than friction, the car would be slowing down...

1.23 recall and use the relationship between moment of a force and its distance from the pivot

moment= force x perpendicular distance from the pivot
moment= F x d

1.24 recall that the weight of a body acts through its centre of gravity

SS 1.25 recall and use the principle of moments for a simple system of parallel forces acting in one plane

SS 1.26 understand that the upward forces on a light beam, supported at its ends, vary with the position of a heavy object placed on the beam

1.27 describe how extension varies with applied force for helical springs, metal wires and rubber bands
they all obey Hooke's Law up to their elastic limit
-thanks to a correction by an anonymous person (see comments), it apparently should be:
helical springs and metal wires do obey Hooke's Law, but rubber bands do NOT follow Hooke's Law  and the extension is NOT directly proportional to the force causing it. 
(y)

1.28 recall that the initial linear region of a force-extension graph is associated with Hooke's Law

Hooke's Law: The extension is directly proportional to the stretching force. 


 

Hooke's Law only applies to the straight part of the graph-initial linear region, up to the limit of proportionality. 
Elastic limit-if a spring is taken beyond this limit, it won't return to its old shape=deformed.

1.29 associate elastic behaviour with the ability of a material to recover its original shape after the forces causing deformation have been removed


Deformation from the limit of proportionality to the Elastic limit is still reversible; but 
Beyond the elastic limit, deformation is irreversible=permanent deformation or plastic deformation. 




Movement and position

1.1 Units: kg, m, m/s, m/s2, N, s, N/kg


a) Movement and position
1.2 understand and use distance-time graphs


Distance -time graphs


The gradient of a distance-time graph=speed
s=d/t
Distance isn't increasing-gradient=0, hence speed=0---->object is stationary (not moving)

Distance time graph from BBC Bitesize
The steeper the graph, the greater the speed as the gradient is steeper. 
If the graph is curved, then the speed must be changing. If it is curving upwards (blue line), the speed is increasing, if it is curving downwards, the speed is decreasing. So the gradient of the graph also tells us how the speed is changing.


Instantaneous speed=How fast an object is moving at a particular instant.
The gradient of the tangent at a point on the distance-time graph gives us the instantaneous speed.


1.3 recall and use the relationship between average speed, distance moved and time:

average speed=distance moved/time taken
s=d/t

1.4 recall and use the relationship between acceleration, velocity and time:

acceleration=change in velocity/time taken
a=(v-u)/t
where v=final velocity
          u=initial velocity
          t=time 

1.5 interpret velocity-time graphs



1.6 determine acceleration from the gradient of a velocity-time graph

the gradient at a point on the velocity-time graph gives you the acceleration


1.7 determine the distance travelled from the area between a velocity-time graph and the time axis

basically, the area under a velocity time graph = distance travelled