Assignment:
Use g = 9.8 m/s^2
Question 1. Three balls are launched at the same speed from a one-story building. Ball 1 is launched vertically up, ball 2 is launched horizontally, ball 3 is launched straight down. Which ball has the greatest speed as they hit the ground? There will be 40 more problems, to be solved using a calculator, with emphasis on oscillations, similar in style to the problems below. For these, solve to 3 significant figures, then insert the FIRST significant figure of your answer on the optical-scan answer sheet. For example, for 0.0486, the answer would be "4".
Question 2. A 5-gram block is attached to a spring and moves with maximum speed 7.62 m/s and amplitude 4.56m. What is the period of the motion in seconds?
Question 3. A 1.2-kg block attached to a spring (spring constant = 40N/m) moves in Simple Harmonic Motion (SHM) with amplitude = 2.34m. What is the (total) energy in joules? What is the maximum speed?
Question 4. A harmonic oscillator operates at a frequency of 4.32 Hz and its maximum acceleration is 9.8 m/s2. Find the amplitude.
Question 5. A 5-g block oscillates in SHM with maximum speed 0.567 m/s, while the maximum acceleration is 4.81 m/s2. What is the maximum displacement?
Question 6. How high above the earth's surface would a projectile go when launched straight upwards at 4.65 km/s? Take the earth's radius = 6380 km and its mass = 5.98 X 10 kg.
Question 7. A ball is thrown at a 45º angle with an initial speed of 60 m/s. neglecting air resistance, how high in meters with it be 3.0 s later? What is its speed at this time?
Question 8. A 50-kg skier slides down a 10-degree incline with an acceleration of 1.2 m/s2. What is the strength of the frictional force acting on her (in Newtons)? What is the coefficient of friction?
Question 9. A car traveling at 20 m/s turns a corner with a turn-radius of 60 meters. What is the magnitude of the car's acceleration during the turn, in m/s2? What is the car's angular velocity, in rad/s?
Question 10. A = I + 2j - 3k and B = 6i - 2j + 4k. Find the z component of the B-2. Find the dot product of A and B.