Question

Ryan and Becca are moving a folding table out of the sunlight. A cup of lemonade, with the message 0.44 kg is on the table. Becca lifts her end of the table before Ryan does, as a result, the table makes an angle of 150.0° with the horizontal. Find the components of the cups weight that are parallel and perpendicular to the plane of the table

Answer 1

Calculate the weight of the table through the equation,

   W = mg

where W is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the known values,
   W = (0.44 kg)(9.8 m/s²) 
   W = 4.312 N

The components of this weight can be calculated through the equation,

   Wx = W(sin θ) 

and Wy = W(cos θ)

x - component:
   Wx = W(sin θ)
Substituting,
  Wx = (4.312 N)(sin 150°) = 2.156 N

  Wy = (4.312 N)(cos 150°) = -3.734 N