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What do the words ‘net force’ mean?
and net force mean the sum of all the forces applied to an object.
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Newton’s second law of motion.
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State of equilibrium?
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Is there a net fore acting on the object when it is at the top of its trajectory?
V Yes! Yes! Yes!
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The object is not in a state of equilibrium at any point of its trajectory.
Its velocity is always changing and therefore it is always accelerating.
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All objects in free-fall near the earth’s surface, accelerate down at 10m/s2, if we disregard air friction.
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Using the definition of acceleration:
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A simple Jedi trick:
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An object in free-fall is always accelerating down.
Therefore there must be an unbalanced force acting on the object, in the down direction.
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In a rear-end collision-without a head-rest.
F The back of the seat pushes her body forward. Her head stays where it is until her neck pulls it forward.
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In a rear-end collision with a head-rest, the head-rest pushes her head forward as the seat pushes her body forward. F F
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Mechanical equilibrium indicates that the net force acting on a system is zero.
Weight = ? 250 N What must the staging weigh in order to have a net force of zero?
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Because the staging is not accelerating, we know that the sum of all the forces applied to the platform must be zero. 200 N 200 N Weight = ? 250 N The staging’s weight must be 150 Newtons
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Another mechanical equilibrium question
F=? 400 N 300 N 250 N 300 N The sum of the down forces is 850 Newtons The sum of the up forces must also be 850 Newtons The right rope must pull up with a force of 450 N
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Satellite motion 8 km/s Falls 5 m in 1 s. 8 km/s The earth curves down 5 meters for every 8 km of surface. Does this bullet get any closer to the surface?
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Satellite motion V V V A F V The satellite accelerates toward the center of the earth. There must be an unbalanced force acting on the satellite toward the center of the earth.
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Weightless The astronaut has the same velocity and acceleration as the capsule and therefore is weightless.
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‘Wind’ friction slows low altitude satellites down so they don’t quite get out over the edge of the earth. They slowly get closer and closer to the earth and eventually crash.
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Geosynchronous satellites orbit 22,300 miles above the earth.
They orbit the earth once every 24 hours.
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A trip to the moon Once escape velocity has been achieved, the engines can be shut off.
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The moon’s surface is weathered by micro-meteorite impact.
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Throwing a ball to a friend will never be the same.
Vvertical Vhorizontal The horizontal velocity remains constant. The vertical velocity is constantly changing.
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Let’s say that the vertical velocity is initially 30 m/s up and 1 sec
Let’s say that the vertical velocity is initially 30 m/s up and 1 sec. later it is 20 m/s up. The change in velocity is in the down direction.
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At the top of its trajectory, the ball’s vertical velocity is zero.
A moment later, the vertical velocity is down and we see that the change in velocity is still in the down direction.
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Acceleration is in the direction of the change in velocity.
Since the change in velocity is down, the ball must be accelerating down.
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All objects in free-fall near the earth’s surface, accelerate down at 10 m/s2 disregarding air friction.
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How will the landing times of the coins compare?
Initial velocity horizontally Dropped Hint: They both have an initial velocity of zero in the down direction.
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They will cover equal vertical distances in equal times.
So they will land at the same time.
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Newton’s second law of motion
The acceleration of an object is directly proportional to the net force applied to an object and inversely proportional to the objects mass.
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Mass is a measure of an object’s inertia
Inertia is an objects resistance to a change in its velocity.
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Calculate your mass by dividing your weight by 2.2
We will use kilograms as units of mass
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It is easy to calculate your metric weight
Weight = 750 Newtons Newtons are metric units of force
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