A box is pulled at an angle of 37 degrees above the horizontal with a force of 50 N. The mass of the box is 40 kg and the coefficient of kinetic friction is 0.4. Calculate the quantities for the blanks below.
weight ________
F(subscript x) __________
Normal force (W-Fsubscript y) _________
F (force of friction) __________
F(subscript net) ____________
Acceleration __________
Please show/explain all work clearly please.
2007-11-20 10:55:21 · 1 answers · asked by nirmal 1 in Science & Mathematics ➔ Physics
Draw a free-body diagram for the box. There are three forces on the box - contact with the pulling force, contact with the floor, and the field force of gravity. The forces are:
T, magnitude 50 N, directed 37 degrees above the horizontal;
The force of gravity on the box, magnitude mg, directed down;
N, the normal force of the floor on the box, directed perpendicular to the surface (the perpendicular component of the contact force with the floor);
The friction force, magnitude uN, directed "back" (the horizontal component of the contact force with the floor).
Vertical: net force = 0 so
N + T sin 37 - mg = 0
Horizontal: forces are unbalanced so net force = ma
ma = T sin 37 - uN
Solve the first equation for the normal force N, then the second for the acceleration a.
2007-11-20 11:45:21 · answer #1 · answered by jgoulden 7 · 0⤊ 0⤋