1. Constant velocity means zero acceleration and this, in turn, means zero net force. Now, the weight of the bear is acting downwards( this is the force due to gravity) and is given by (w=mg) w= 400 kg x 9.8 m/s/s = 3920 newton. Thus, there must be an upward friction force of 3920 newton, so that the net force is zero.

2. a = net force / m = 2 N /2 kg = 1 m/s/s/.

3. Forces from the engines are acting in the same direction, so they add up. So the total net force is 4 x 30,000 N = 120,000 N. Now, a= net force / mass = 120,000 N /30,000 kg = 4 m/s/s/.

4. The reaction force of the wall onto you is also 30 N. your acceleration is given by a = net force on you / mass = 30 N /60 kg = 0.5 m/s/s/.

5. This problem is like the bike problem I worked out in class. We know net force = mass x acceleration. So the net force acting on the firefighter is = 80 kg x 4 m/s/s/= 320 N, downwards. This net force comes from two contribution; force of gravity (= firefighter's weight) downwards and the friction force acting upwards. The firefighter's weight is (w=mg) = 80kg x 9.8 m/s/s = 784 N and this is the force acting downwards. So we find 784N, downwards - friction force, upwards = net force of 320 N, downwards. This means the friction force is 464 N, upwards.