Answer:

Explanation:
The dot product of two vectors
and
is given by

The dot product of two orthogonal vector is always zero thus if
and
, their dot product would be




Explanation:
M₂ = Fr²/GM₁
M₂ = [(132N)(.243m)²]/[(6.67*10^-11N*m²/kg)(1.175*10^4kg)]
M₂ = (7.79N*m²)/(7.84*10^-7N*m²)
M₂ = 9.94*10^6 kg
A) Both players are moving by uniformly accelerated motion, and we can write the position at time t of each of the two players as follows:


where

is the acceleration of the first player

is the acceleration of the second player

is the initial distance between the two players
and where I put a negative sign in front of the acceleration of the second player, since he's moving in the opposite direction of the first player.
The time t at which the two players collide is the time t at which

, therefore:

from whic we find

b) We can use the equation of

to find how far the first player run in t=8.5 s:
C
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