A bobsled is on an inclined sheet of ice that is frictionless. What must be the angle of the incline if the acceleration of the bobsled is 2.77m/s^2?

 θ = 73.6º

Explanation:

To solve this exercise, let's use Newton's second law. Let's set a reference system where the x-axis is parallel to the inclined plane

with trigonometry we can find the components of the weight

           sin θ = Wₓ / W

           cos θ= W_y / W

           Wₓ = W sin θ

           W_ = W cos θ

Y axis  

           N - W_y = 0

           N = W_y

X axis

           Wₓ - fr = m a

            mg cos θ - fr = m a

indicate that friction is zero, fr = 0

            cos θ = a / g

            θ = cos⁻¹  

let's calculate

            θ = cos⁻¹  

            θ = 73.6º

a displacement distance is size of displ

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.