1. A 12 kg wagon is being pulled at an angle of 38o above horizontal. What force is applied to

Question

the wagon if it accelerates from rest to a speed of 2.2 m/s over a distance of 3.4 m? (4 marks)
2. A 31.0 kg child on a swing reaches a maximum height of 1.92 m above their rest position.
Assuming no loss of energy: (8 marks)
a) At what point during the swing will she attain their maximum speed?
b) What will be her maximum speed through the subsequent swing?
c) Assuming this maximum height was the result of one push from her parent, what was the
average force exerted by the parent if they pushed over a distance of 152 cm?
3. A 75.0 kg novice skier is going down a hill with several secondary hills. Ignore frictional effects
and assume the skier does not push off or slow himself down. If the initial hill is 38.7 m above the
chalet level: (8 marks)
a) What is the speed of the skier at the bottom of the first hill, 25.6 m above the chalet level?
b) At what height does the skier have a speed of 12.0 m/s?
c) What is the skier's speed at the bottom of the hill?
d) Is this a realistic scenario?

Answer 1

It would appear as homework dumping if you don't show your work.

Also, if you make an effort to solve the first one, there is a chance you can apply what you learned to solve the other ones, or at least get a good kick-start.

I suggest you review class material, attempt the first question, and then post where you have a problem.

Some useful formulas:
Horizontal component of force P
=P(cos(θ))

v^2-u^2=2aS
S=distance
u,v=initial/final velocities
a=acceleration

Kinetic energy=potential energy:
(1/2)mv^2 = mgh