A 92-kg fullback moving south with a speed of 5.8 m/s is tackled by a 110-kg lineman running north with a speed of 3.6 m/s. Assu
1 answer:
They travel at a speed of 0.68 m/s south ( south of west)
Explanation:
We can solve this problem by using the law of conservation of momentum: in fact, in absence of external forces, the total momentum of the two players must be conserved before and after they collide.
Mathematically:
where, taking north as positive direction:
is the mass of the first player
is the initial velocity of the first player (south, so negative)
is the mass of the second player
is the initial velocity of the second player (north, so positive)
is the final combined velocity of the two players
Solving for v, we find the final velocity of the two players combined:
where the negative sign indicates their final direction is south.
Learn more about conservation of momentum here:
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The equations to find the acceleration are the suvat equations:
Explanation:
The acceleration of an object is the rate if change in velocity of the object. It is calculated as
where
v is the final velocity of the object
u is the initial velocity
t is the time elapsed
For an object moving in a straight line at constant acceleration, there are several equations that can be used to find the acceleration: they are called suvat equations. They are the following:
where
u is the initial velocity
v is the final velocity
t is the time
s is the distance covered
a is the acceleration
Therefore, any of the above equations can be used to calculate the acceleration.
Learn more about acceleration:
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