What is the momentum of a bus that weighs 13,500,000 grams traveling at 65 mph?
1 answer:
The momentum of the bus is
Explanation:
The momentum of an object is given by
where
m is the mass of the object
v is its velocity
For the bus in this problem, we have
is its mass
is the velocity, converted into SI units
Substituting into the equation, we find the momentum of the bus:
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The gravitational force on the woman is A) 500 N
Explanation:
There are two forces acting on the woman during her fall:
- The force of gravity,
, acting downward
- The air resistance,
, acting upward
According to Newton's second law, the net force acting on the woman is equal to the product between the woman's mass and her acceleration:
where m is the mass of the woman and a her acceleration.
The net force can be written as
Also, we know that the woman falls at a constant velocity (5 m/s), this means that her acceleration is zero:
Combining the equations together, we get:
which means that the magnitude of the gravitational force is equal to the magnitude of the air resistance:
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