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An archer shoots an arrow with a velocity of 30 m/s at an angle of 20 degrees with respect to the horizontal. An assistant standing on the level ground 30 m downrange from the launch point throws an apple straight up with the minimum initial speed necessary to meet the path of the arrow. What is the initial speed of the apple and at what time after the arrow is launched should the apple be thrown so that the arrow hits the apple?
An asteroid is discovered heading straight toward Earth at 15km/s. An international team manages to attach a giant rocket engine to the asteroid. The rocket fires for 10 min, after which the asteroid is moving at 29degree to its original path at a..
A 1.49 kg ball is connected by means of two ideal strings to a vertical, rotating rod. The strings are tied to the rod and are taut. What is the tension in the lower string
A cluster of galaxies has a radius of about 5.2 million light-years (4.9×10^22) and an intracluster medium with a temperature of (6.5×10^7) K. Estimate the mass of the cluster. Give the answer in both kilograms and solar masses. Suppose combined l..
A dragster drives a quarter mile (402 m) at a constant rate of acceleration, starting from rest and finishing the race at a final speed of 450 km/hr. what average power was developed by the engine
A 4.0 ohm resistor is connected in parallel with a 12 ohm resistor and both of these are connected to a DC power supply with voltage V. what is the current through the 4.0 ohm resistor
Two capacitors, C1 = 2.0mF and C2 = 7.0mF , are in series, Find the charge stored on the second capacitor
A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. By how much does the ball clear or fall short of clearing the crossbar
The speed of sound in bone is 3500 m/s. How much time does it take the echo of a sound wave to travel from the back of the bone to the front of the bone if the bone is 2.50 cm thick.
Besides the traditional colorimetric acid/base indicators, there is another class that doesn't use color, the olfactory acid-base indicators! These compounds smell or don't smell based on their pH and a lot of them are plant-derived compounds
What is coefficient of friction between chair and floor
A 1050kg car carrying four 78kg people travels over a rough "washboard" dirt road with corrugations 4m apart which causes car to bounce on its spring suspension.
An electron, starting from rest, accelerates through a potential difference of 779 V. What is the final de Broglie wavelength of the electron
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