Physics 1120 In-Class Problems: Math Review

1. Convert the following:
   (a) 3.5 km² to m²
   (b) 56 g/cm³ to kg/m³
   

2. Write vectors equations for each diagram below.
   

   (a)		(b)
   (c)		(d)
   (e)		(f)

3. Momentum is a vector quantity given by p = mv. A system consists of 2 particles: one of mass 150 g moving at 125 cm/s at 15.0° west of north, and the other of mass 200g moving at 90 cm/s at 30.0° south of east. What is the net momentum of the system?

4. Two forces act on a body. The first is F₁ = 135 N at 25.0° west of south, and the second is F₂ = 190 N acting at 40.0° south of east. Find the net force acting on the body.

5. A person on the shore at English Bay observes that the net velocity of a person in a boat is 2.75 m/s at 17.0° north of east. The boat is moving relative to the water at 1.90 m/s heading 10.0° south of east. Determine the velocity of the water current relative to the person on shore.

6. The net force of two forces acting on a body is 3500 N at 14.5° west of south. One force is 2100 N at 22.0° east of south. What is the other force?

Questions? mike.coombes@kwantlen.ca