Question

1) . You repeat the same experiment that you did in the lab with the force table using two 100 g masses at 135° and 225°.

(a) Complete the table below.

Force	Mass (kg)	Magnitude of Force (N)	Angle (degrees)	Ax (N)	Ay (N)
F1	0.100		135
F2	0.100		225

(b) Determine (by calculation) the value of F₃ needed to balance the two forces F₁ and F₂.
F_3x =  
F_3y =  

magnitude	F3	=
direction	θ3	=	° counterclockwise from the +x-axis

2) . A drunken sailor stumbles 450 meters north, 400 meters northeast, then 350 meters northwest. What is the total displacement and the angle of the displacement? (Assume east is the +x-direction and north is the +y-direction.)

magnitude
direction	° counterclockwise from the +x-axis

Use the exact values you enter to make later calculations.

3) A uniformly accelerated car passes three equally spaced traffic signs. The signs are separated by a distance d = 21 m. The car passes the first sign at t = 1.5 s, the second sign at t = 3.7 s, and the third sign at t = 5.0 s.

(a) What is the magnitude of the average velocity of the car during the time that it is moving between the first two signs?


(b) What is the magnitude of the average velocity of the car during the time that it is moving between the second and third signs?


(c) What is the magnitude of the acceleration of the car?

4) . The position of a particle moving with constant acceleration is given by

x(t) = 2t² + 9t + 4

where x is in meters and t is in seconds.

(a) Calculate the average velocity of this particle between t = 3 seconds and t = 7 seconds.


(b) At what time during this interval is the average velocity equal to the instantaneous velocity?

Answer 1