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1. A ball is thrown from the top of a roof at an angle of 20o with respect to the vertical. 1 s later a ball is dropped from the top of the roof.
a) If the height of the roof is 20 m, determine the velocity with which the first ball must be thrown in order for both balls to land at exactly the same time.
b) Imagine the velocity of the first ball is now known, and instead it is the height of the building which is unknown. Can you obtain an equation for the height of the building which would result in both balls landing on the floor at the same time.
2. You are firing a cannonball from the top of a cliff at a pirate ship which is behind a mountain. The height of the cannon is 100 m, the height of the mountain is 120 m, and the height of the pirate ship is 70 m.
The mountain is horizontally 200 m away from cannon, while the pirate ship is horizontally 270 m away from the cannon.
The speed of the cannonball after it is fired is 65 ms-1. You could hit anywhere from the bottom of the pirate ship to the top in order to sink it. Over what angles could you fire the cannonball to sink the pirate ship?
A 115 mCi radioactive tracer is made in a reactor. When delivered to a hospital 16 hours later its activity is 95 mCi. What is the tracer's half-life
Assume the steel in the body of an automobile has an emissivity of 0.3 and a specific heat of 450 J/Kg-degree C. What temperature will the top of the hood reach
an airplane traveling at v 180 ms emits a sound of frequency 5.70 khz. at what frequency does a stationary listener
a singly charged ion of mass m is accelerated from rest by a potential difference ?v. it is then deflected by a uniform
A 0.240 kg piece ofaluminum that has a temperature of -155°C is added to 1.5 kg ofwater that has a temperature of 2.3°C. obtain the mass of water that has been frozen into ice
The edge of the thimble of a micrometer moves a distance of 2.0 mm when it is given four complete revolutions. Find the pitch of the micrometer
A thin spherical shell of mass 0.25 kg and radius 0.15 m is released from rest from the top of a 3.0-m high ramp. What would the linear speed be at the bottom
Ship A is in the lead, approaching the Earth at v1 = 0.78c and separating from ship B with a relative speed of 0.44c. As seen from Earth, what is the speed, v, of ship B
The pull cord of a lawnmower engine is wound around a drum ofradius 6.00 cm. what magnitude torque does the cord apply to the drum
An interstate highway has been built through a neighborhood in a city. What is the average late-night sound level
A resistor, inductor, and capacitor are linked in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V, respectively. What is the value of the effective (rms) voltage of the applied source in the circuit?
A laser emits 7.50 × 1017 photons per second in a beam of light that has a diameter of 1.89 mm and a wavelength of 514.5 nm. determine the average electric field strength
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