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Q1. A ship sets out to sail to a point 141km due north. An unexpected storm blows the ship to a point 138 km due east of its starting point. (a) How far (in km) and (b) in what direction (as an angle from due east, where north of east is a positive angle) should it now sail to reach its original destination?
Q2. An ocean liner leaves New York City and travels 31° north of east for 183 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in following directions?
Speedboat A negotiates a curve whose radius is 118 m. Speedboat B negotiates a curve whose radius is 270 m. Each boat experiences the equivalent centripetal acceleration. What is the ratio vA/vB of the speeds of boats.
You have a 56.9-mF capacitor initially charged to a potential difference of 10.1 V. You discharge the capacitor through a 4.77-Ω resistor. What is the time constant? After what multiple of the time constant does the potential difference reach 2.47 V.
A 70.0 kg circus performer slides 4.90m down a pole to the circus floor, starting from rest. What is the kinetic energy of the performer as she reaches the floor if the frictional force on her from the pole (a) is negligible (she will be hurt) and (b..
The distance between the first and fifth minimum on a screen 60 cm behind the slits is 6.0 mm. What is the wavelength of the light used in this experiment.
The mass of a space shuttle is approximately 2.0x10^6 kg. Throughout lift-off, the net force on the shuttle is 1.0x10^7 newtons directed upward. What is the speed of the shuttle 10 seconds after liftoff.
A person with a mass of 103 kg is standing on a scale that reads weight in newtons inside of an elevator. If the elevator accelerates upward at 3.2 m/s2, what does the scale read.
Capacitance and resistance network.
An aerosol can of whipped cream is pressurized at 440kPa when it's refrigerated at 3 C. The can warns against temperature in excess of 50 C. What is the safest pressure for the can .
A daredevil on the motorcycle leaves the end of a ramp with a speed of 36.0 m/s. If his speed is 34.20 m/s while he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance. In meters
Problem on the velocity of boat
The top of Mt. Everest is 8750 m above sea level. Assume that sea level is at an average Earth radius of 6.38×10^6 m. What is the magnitude of gravitational acceleration at the top of Mt. Everest? Mass of the Earth is 5.97×10^24 kg.
A ship sets out to sail to a point 136 km due north. An unexpected storm blows the ship to a point 108 km due east of its starting point. How far must it now sail to reach its original destination.
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