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

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Physics

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1 September, 20:20

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

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Kelvin Mendez · 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