Question

1) the force of 225 N is exerted on the basket to the north, and the forces of 165 N are exerted to the east. Find the magnitude, the direction and the direction of the net force

2) your hand exerts a force of 6.5 N upwards on a pound of sugar. Considering the force of gravity on sugar, what is the net force on sugar? Indicate the magnitud, the direction, and the sense

Answer 1

(1) Magnitude is the total amount of force that cause the baket to accelerate.

These two forces are right angle to each other and hence they can be represented as the two rides of a right angle triangle. The hypotenuse of the triangle gives the magnitude of the total force.

The total amount of force =

The tangent of the angle north of east =

degree north of east

The total force is 279 N acting in a direction53.7° north of east.

(2) The weight of the sugar acts downward.

1 pound = 454g =0.454 kg

Weight = mg = 0.454 × 9.8 = 4.45 N downwards

Hand exerts a force 6.5 N upwards.

The net force acting on the sugar = force exerted by hands + weight of the sugar

= 6.5 - 4.5 ( negative sign indicates that the two forces are in opposite directions)

= 2 N

The net force on the sugar is 2 N upwards.