What is the distance from the moon to the point between Earth and ...

[casperchen82]

What is the distance from the moon to the point between Earth and the Moon where the gravitational pulls of Earth and Moon are equal?
 
  The mass of Earth is 5.97  1024 kg, the mass of the Moon is 7.35  1022 kg, the distance between Earth and the Moon is 3.84  108 m, and G = 6.67 x 10-11 Nm2/kg2.
  A) 3.45  108 m
  B) 3.83  107 m
  C) 4.69  106 m
  D) 3.83  106 m
  E) 4.69  107 m

Question 2

Two automobiles traveling at right angles to each other collide and stick together. Car A has a mass of 1200 kg and had a speed of 25 m/s before the collision. Car B has a mass of 1600 kg.
 
  The skid marks show that, immediately after the collision, the wreckage was moving in a direction making an angle of 40 with the original direction of car A. What was the speed of car B before the collision, assuming that any other unbalanced forces are negligible? A) 16 m/s
  B) 18 m/s
  C) 11 m/s
  D) 21 m/s
  E) 14 m/s

[kristenb95]

Answer to Question 1

B

Answer to Question 2

A

[casperchen82]

TYSM

[chjcharjto14]

Excellent