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Newton's 2nd Law of motion
1.
2. Newton’s Second Law can be expressed with
an equation:
Which can be re-arranged to isolate Force
like this:
3. Force is measured in Newtons
A Newton = the amount of force needed to
accelerate a 1 kilogram mass at a rate of 1 m/s2
Since F = m.
a
1 N = 1 kg.
m/s2
4. 1. Describe the motion
of the object this
graph depicts
2. Using F = ma,
calculate the mass
of the object
5. 1. Describe the motion of the
object this graph depicts
the object is accelerating
2. Using F = ma, calculate the
mass of the object
using rise/run:
3N-1N/3m/s2
– 1m/s2
= 1 kg
6. If there is acceleration (speed up, slow down,
change direction), there is an unbalanced
force.
remember: another name for unbalanced
force is net force
7. Look at the relationship between force,
mass, and acceleration in this equation:
To keep the same acceleration, what must
force do if mass is increased?
force must increase just as much
8. To be more specific:
If acceleration stays constant and the mass
of the object doubles, what must the force
be doing?
doubling
9. We already know that the formula for the
second law of motion is F = ma
We can use this formula to calculate the force
of weight
Weight = mass x accelerationgravity
10. It’s really, really important to remember:
a net force results in acceleration
BUT
no net force does not mean no motion – an
object will move at a constant speed in a
straight line with no net force!!!
11. The force required to accelerate a 2 kg
mass at 4 m/s2
is
(a) 6N (b) 2N (c) 8N (d) 16N
Answer
The correct answer is 8N because F = ma
and so F = (2 kg)(4 m/s2
)
12. What force will be needed to accelerate a 8kg mass at
the same acceleration as a 4kg mass?
(a) the amount of force does not change
(b) the force needs to be 4x’s as much
(c) the force should double
(d) it will take half as much force
Answer
The correct answer is “the force should double” because
the mass doubled while acceleration was held constant.
13. A cart has a constant acceleration from rest. The force
on the cart must be
(a) decreasing
(b) zero
(c) constant
(d) increasing
Answer
The correct answer is “constant” because a constant net
force creates a constant acceleration.