The coordinates of two objects with masses m1= 1 g., and m2= 2 g. moving in the xy-plane are given by
1() = ^2 − 6 ; 1() = −3, 2() = − 8; 2() = −2
where 1, 2, 1 and 2 are in meters and in seconds.
Calculate the gravitational force due to these objects at the instant that the velocity of the first object perpendicular to its acceleration.
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p
i
=p
f
0=mv
i
^
+mv
j
^
+2m
v
v
=−
2
v
i
^
−
2
v
j
^
∣
v
∣=
2
v
KE=
2
1
mv
2
+
2
1
mv
2
+
2
1
2m(
2
v
)
2
=mv
2
+
2
mv
2
=
2
3
mv
2
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