In: Physics
a) Calculate the x- and y-components of the following two force vectors:
F1 = 200 Newtons @ 30°, F2 = 100 Newtons @ 135°
b) What is the magnitude & direction of the resultant vector:
R = F1 + F2
3. A football is kicked on a horizontal field at an angle of 40° and a speed of 27 m/sec.
a) What are the horizontal & vertical components of the initial velocity?
b) Using just your answer for part a, what are the horizontal & vertical components of the final velocity (no calculation necessary although you can calculate the values if that turns you on)?
c) How long was the football in the air? (Hint: use the two values for y-velocities above - don’t forget about minus signs.)
d) How far horizontally did the ball travel?
4. A car has a maximum acceleration of 5.4 m/s2 when it carries only the driver and has a total mass of 1100 kg. What is its maximum acceleration after picking up four passengers, adding an additional 300 kg of mass?
(Hint: the maximum acceleration in both cases is when the car’s engine is putting out the most power it can, which is the same in both cases.)
5. Calculate the average force (just magnitude) a bumper would have to exert to bring a 1200-kg car to rest in 15 cm when the car had an initial speed of 2.0 m/s (about 4.5 mph).