Matt has a mass of 37 kg and skis down a hill with no friction or air resistance. the hill has an angle of 24 degrees. the free-body diagram is show below.

a. write the expression for the net force in the x-direction.

b. write the expression for the net force in the y-direction.

c. what is the acceleration in the y-direction?

d. what is the normal force acting on him?

a) Along X direction since it can not move so Net force in x direction must be ZERO

since a = 0

b)For Y direction net force is only due to component of the weight of object along the inclined plane

c) for finding acceleration in Y direction we can use above equation

divide both sides by mass

d) For finding Normal force we can use the expression of force in X direction

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2