Object A has mass m and is traveling forward with speed v. Which set of changes to object A will not affect its momentum?
1 answer:
The situation that will not affect momentum is:
mass reduced to 0.5m, speed increased to 2v
Explanation:
The momentum of an object is defined as
where
m is the mass of the object
v is its velocity
Let's call m the initial mass of object A and v its initial velocity, so its initial momentum is
Let's now analyze each situation to see how the momentum changes:
- mass reduced to 0.5m, speed increased to 2v
New momentum is:
--> so momentum is unchanged
- mass reduced to 0.25m, speed increased to 1.25v
New momentum is:
--> momentum has changed
- mass increased to 2m, speed increased to 2v
New momentum is:
--> momentum has changed
- the direction of velocity reversed, speed kept at v
Since momentum is a vector, the direction also matters: therefore, if the direction of the velocity changes, the direction of the momentum changes as well, so the momentum has changed.
So the only situation that will not affect the momentum is
mass reduced to 0.5m, speed increased to 2v
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Answer: 49.5 m
Explanation:
The speed of sound is given by a relation between the distance
and the time
:
(1)
Where:
is the speed of sound in air (taking into account this value may vary according to the medium the sound wave travels)
since we are told th hunter was initially 412.5 meters from the cliff and then moves a distance
towards the cliff
Since the time given as data (2.2 s) is the time it takes to the sound wave to travel from the hunter's gun and then go back to the position where the hunter is after being reflected by the cliff
Having this information clarified, let's isolate and then find
:
(2)
(3)
Finding :
This is the distance at which the hunter is from the cliff.