__Directions__:
Draw free-body diagrams with all forces and given information. Write summation of x and y components. Solve the problems showing all work.

- A block of mass 5.00 kg
rests on a horizontal surface where the coefficient of sliding kinetic
friction between the two is 0.200. A string attached to the block is
pulled horizontally, resulting in a 2.00-m/s
^{2}acceleration by the block. Find the tension in the string and the normal force. (*g*= 9.80 m/s^{2})

Free-body
diagram

Summation
of components SF_{x }SF_{y} (each set =ma)

- A 15-kg block is on top
of a level frictionless surface and is attached by a light string to a
5.0-kg hanging mass where the string passes over a massless frictionless
pulley. If
*g*= 9.8 m/s^{2}, what is the tension in the connecting string? Also find the normal force and acceleration of the system when in motion.

Free-body
diagrams (two)

Summation
of components SF_{x} SF_{y}
SF_{y}

(each
set =ma)

3. A man pulls a 100 kg sled at a constant velocity across a horizontal
snow surface. If a force of 80 N is being**
**applied to the sled rope at an angle of 53° to the ground, what is the
force of friction between sled and snow?
Find normal force also.

Free-body
diagram

Summation
of components SF_{x }SF_{y} (each set =ma)

4. A 20‑kg traffic light hangs midway on a
cable between two poles 40 meters apart. If the sag in the cable is 4.0 meters,
what is the tension in each side of the cable (T_{1}, T_{2}, T_{3})? The angle between the horizontal and the
sagging cable on each side is 11^{o}.

Free-body
diagram

Summation
of components SF_{x }SF_{y} (each set =ma)