An antelope is being pulled by two forces whose vector-component expressions are: F1 = -6Ni + -9.1Nj + -8.6Nk F2 = 4.9Ni + 1.6Nj + -0.4Nk What is the angle (in degrees) between these two vectors

Express the forces F₁, F2 in vector form. Determine the vector expression for the resultant R of two forces. Find the magnitude and coordinate direction angles of resultant R with x, y and z axis. 6 ft 13/12 2.5 ft 4 ft F₁-80 lb A F₁-50 lb

VECTOR ADDITION: Find the sum of two ‘forces’: 100 g at 30º and 200 g at 120º, by: A) Graphical Method: Make the X- and Y-axes. Use a scale of 25 g = 1.0 cm. Draw arrows of appropriate lengths at 30º and 120º, both starting from the origin. Add them using the Parallelogram method. Measure the length and angle of the resultant. Convert length to magnitude of the resultant vector using the scale used to draw the vectors. Record the results in the Data Table. B) Analytical Method: Compute the sum of the two vectors by using the Component Method (Ax = A cosθ and Ay = A sinθ ) as well as the Triangle Method (A/Sin α = B / Sin β = C / Sin γ and C2 = A2 + B2 – 2AB Cos γ). Record the results in the Data Table.

Three people are pulling a heavy object along the floor with forces A, B and C as shown in the figure. What is the resultant (i.e. suml of the three forces? The forces are given by (all angles are CCW from + x-axis): A = magnitude 20 N, direction 30º. B = magnitude 40 N, direction 140°. C= magnitude 30 N, direction 240º. в А х-ахis

2. In mechanics, force is a vector quantity and has a unit of Newtons (N). The force F₁ with a magnitude of 54.0 N is applied at an object at the origin in the direction of 25° above the negative x-axis. A second force F₂ with a magnitude of 41.0 N is applied at the same object in the direction of 68° above the positive x-axis. Determine the magnitude and direction of the resultant of the two forces.

A 781 N sprinter can push his feet back against the starting blocks with a force of 1852 N in the horizontal direction.  If the force is generated for 0.28 s, determine the horizontal velocity of the runner out of the blocks. Include magnitude and direction when reporting vectors.

Juan is helping his mother rearrange the living room furniture. Juan pushes on the armchair with a force of 30.0 N directed at an angle of 25.0 degree above a horizontal line while his mother pushes with a force of 60.0 N directed at an angle of 35.1 degree below the same horizontal. What is the direction of the vector sum of these two forces? If the direction is below the horizontal, enter a negative value and if the direction is above the horizontal, enter a positive value.

Two muscles on the back of the leg pull upwards on the Achilles tendon. Each force makes an angle of θ=20∘θ=20∘ with the vertical, with one pulling up and to the right and the other pulling up and to the left. Each force has a magnitude F=F=573 N.Write an expression for the magnitude of the sum, FsumFsum, of these two forces. What is the magnitude, in newtons, of the sum of these two forces?

The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F₁ = 137 N and F₂ = 74.0 N.) 75.0° direction 60.0⁰ x (a) Find the single force that is equivalent to the two forces shown. 149.56 magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. N 23.65 X Your response differs from the correct answer by more than 10%. Double check your calculations. counterclockwise from the +x-axis (b) Find the force a third person would have to exert on the mule to make the net force equal to zero. magnitude N direction counterclockwise from the +x-axis

A force ofF1= 50.0 N is directed at an angle of 60° above the x-axis. A second force of  F2 = 50.0 N is directed at an angle of 60.0° below the x-axis.= 50.0 N is directed at an angle of 60.0° below the x-axis.  What is the vector sum of these two forces?