Question

On take off, the combined action of the engines and wings of an airplane exerts a(n) 7767 N force on the plane,directed upward at an angle of 59.1 degrees above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal direction. The acceleration of gravity is 9.8 m/s^2. What is the weight of the plane? Answer in N.

What is the horizontal acceleration a? Answer in units of m/s^2.

This is my work but i am not sure if it is right:

sum of Force on x axis=7767 cos theta=mass(acceleration)x

sum of force on y axis= -mass(gravity)+ 7767sin theta= mass(acceleration)y

weight = mg=7767sin theta =6664.5 N

m=7767 sin theta/g =680.1

horizontal acceleration, or a for x axis=7767 cos theta/m= 5.865 m/s^2

Answer 1

You solved it! However, the problem is not asking for the mass, but rather the weight
w = 6664.6 N