# Question: referring to the interactive figure below suppose two astronauts are...

###### Question details

Referring to the *Interactive Figure* below, suppose two
astronauts are using jet packs to push a 940 kg satellite toward
the space shuttle, as shown in the figure below. With the
coordinate system indicated in the figure, astronaut #1 pushes in
the positive *x*-direction and astronaut #2 pushes in a
direction 52° above the *x*-axis. Astronaut #1 pushes with a
force of magnitude *F*_{1} = 26 N and astronaut #2
pushes with a force of magnitude *F*_{2} = 45 N.

(a) Do you expect the direction of the satellite's acceleration
to be greater than, less than, or equal to 32°?

(b) Find the direction of satellite's acceleration in this
case.

___________ °

(c) Find the magnitude of the satellite's acceleration in this
case.

___________ m/s^{2}

Now, use what you have learned to answer the following. Suppose the
satellite has a mass of 630, that astronaut #1 pushes with a force
of magnitude *F*_{1} = 55 N and that astronaut #2
pushes with a force of magnitude *F*_{2} = 65 N in a
direction 72° above the *x*-axis.

(d) Do you expect the direction of the satellite's acceleration
to be greater than, less than, or equal to 41°?

(e) Find the direction of satellite's acceleration in this
case.

___________ °

(f) Find the magnitude of the satellite's acceleration in this
case.

___________ m/s^{2}