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Newton’s Second Law can be expressed with
an equation:
Which can be re-arranged to isolate Force
like this:
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
1. Describe the motion
of the object this
graph depicts
2. Using F = ma,
calculate the mass
of the object
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
If there is acceleration (speed up, slow down,
change direction), there is an unbalanced
force.
remember: another name for unbalanced
force is net force
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
To be more specific:
 If acceleration stays constant and the mass
of the object doubles, what must the force
be doing?
 doubling
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
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!!!
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
)
 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.
 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.

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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.