Reference no: EM13663763

1) A roofer is dragging a 15.0-kg bundle of shingles up the roof using a light rope parallel to the roof. The roof is sloped at an angle of 30.0° with the horizontal. a) Suppose an astronaut was building a similar structure on Mars. What would be the force component perpendicular to the roof of the weight of a 15.0-kg bundle of materials on the surface of Mars? The mass of Mars is 6.42 × 1023 kg, and the radius of Mars is 3.40 × 106 m 2. An object suspended from a spring with a spring constant of 2.56 N/m vibrates with a frequency of 0.148 Hz. a. What length of a 0.250-kg pendulum would be needed to oscillate at the same frequency as the object in question 1? b. What would be the restoring force on the pendulum at an angle of 6.24° from the equilibrium position? c. The pendulum is pulled aside until it is 0.386 m above its lowest position and released. The pendulum is designed to emit sound waves at a frequency of 440 Hz; however, as it swings toward and away from an observer, the frequency appears to vary slightly. What is this phenomenon called? What would be the apparent frequency of the sound from the pendulum as it swings at its maximum speed toward an observer? Assume the speed of sound is 345 m/s.