In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force of magnitude 210 N, and Charles pulls with force Fc of magnitude 185 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? 147° Alex (a) Number Charles Betty i (b) Number i Units Units <

Three rugby players are pulling horizontally on ropes attached to a box, which remains stationary. Player 1 exerts a force F equal to 200 N at an angle 0, equal to –60.0° with respect to the +x-direction, as shown in the figure. Player 2 exerts a force F2 equal to 300 N at an angle 02 equal to 37.0° with respect to the +x-direction. The view in the figure is from above. Ignore friction and note that gravity can be ignored in this problem. Determine the force F3 exerted by player 3. State your answer by giving the x- and y-components, F3, and Fay, respectively. F, F3x -339.59 N F3y N Player 3's rope breaks, and player 2 adjusts by pulling with a force of magnitude F; equal to 250 N at the same angle as before. Defining angles above the x-axis as positive and those below as negative, at what angle 0 is the acceleration of the box relative to the +x-direction? The magnitude of the acceleration is measured to be 10.0 m/s?. What is the mass m of the box? kg m = F TOOLS x10

A 8 kg decoration hangs from the ceiling. It is suspended by 2 wires. The first wire forms a 40⁰ angle with the ceiling. The second wire forms a 50⁰ angle with the ceiling.a. Find the tension in the 2 wires (including magnitude and direction) b. Assuming the wire that forms the 40⁰ angle with the ceiling has a length of 0.3 metres, how farbelow the ceiling is the decoration suspended?

a bird feeder that weighs 199.3 N. The feeder is supported by a vertical wire, which is in turn tied to two wires, each of which is attached to a horizontal support. The left wire makes a 60° angle with the support, while the right wire makes a 30° angle. What is the tension in each wire (in N)? (A) left wire, (B) right wire, (C)bottom wire

Four forces act on an object, given by  A = 38.3 N east, B = 45.3 N north, C = 70.7 N west, and D = 88.7 N south.  (Assume east and north are directed along the +x-axis and +y-axis, respectively.) (a) What is the magnitude of the net force (in N) on the object?   (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.)

As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force F, of magnitude 6.70 units acts on a crate at the origin in a direction 0 = 26.0° above the positive x-axis. A second force F, of magnitude 5.00 units acts on the crate in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force F, + F,. magnitude units direction Counterciockwise from the +x-axis

Boxes A and B are in contact on a horizontal, frictionless surface. Box A has mass 20.0 kg and box B has mass 5.0 kg. A horizontal force of 100 N is exerted on box B. What is the magnitude of the force that box B exerts on box A?

The lateral head and the medial head of the gastrocnemius muscle pull on the Achilles tendon, as shown. The medial head T₁ and lateral head T₂ apply a force of 250 N and 150 N, respectively. y T₁ Gastrocnemius 20% X N 30° (a) Calculate the net force experienced by the Achilles tendon. Enter to 3 significant figures Magnitude of net force = 291.55 T₂ X Achilles Tendon b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y- axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means to the right of the y-axis. Note that T₁ = 250 and T₂ = 150.

Consider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton's

The magnitudes of the forces as shown in the figure are: F_1 = 80.0N, F_2 = 60.0N and F_3 = 40.0N. a) Determine the components of the force, b) the resultant force acting on the particle, and c) the direction of the resultant force.