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Ball A is dropped from the top of a building of height H at the same instant ball B is thrown vertically upward from the ground. First consider the situation where the balls are moving in opposite directions when the collide. If the speed of ball A is m times the speed of ball B when they collide, find the height at which they collide in terms of H and m. Take x = 0 at the ground, positive upward.1.1 With two equations, describe the conditions at the collision (position and velocities of the balls).1.2 Write the expressions for position and velocity of the balls as a function of time.1.3 Solve the above equations to find the height at which the balls collide. Your answer should be expressed as a fraction of the height of the building H and it should depend on the speed ratio m.1.4 Now suppose that m can be negative (i.e. balls A and B are moving in the same direction when they collide). Use the formula derived above to graph the height of the collision (again expressed as a fraction of the building height H) as a function of m for -5 < m < 5. Are there values of m for which the answer is unphysical?
An isolated conductor of arbitrary shape has a net charge of +1.30×10-5 C. Inside the conductor is a cavity within which is a point charge q = +3.25×10-6 C. What is the charge on the cavity wall
The pressure on a 1 L-sample of water is increased from 1 atm to 200 atm, reducing its volume by 1%. Draw the pressure-versus-volume graph for this process
A spherical brass shell has an interior volume of 1.51 x 10-3 m3. Within this interior volume is a solid steel ball that have a volume of 0.53 x 10-3 m3. What is the volume of mercury that spills out of the hole
The output voltage of an ideal transformer connected to 240 V a.c mains is 24 volt. Now We have to calculate current in primary coil
Perpetual motion machines have fascinated people especially inventors for hundreds of years before the laws of thermodynamics became known. Ideally, once energy is added to start a perpetual motion in machine, the machine would continue to operate..
Black smokers are hot volcanic vents that emit smoke deep in the ocean floor. Many of them teem with exotic creatures, and some biologists think that life on earth may have begun around such vents.
A hanging wire made of an alloy of aluminum with diameter 0.12 cm is initially 2.8 m long. When a 40 kg mass is hung from it, the wire stretches an amount 1.57 cm. A mole of aluminum has a mass of 27 grams, and its density is 2.7 g/cm3.
You are a blacksmith and have been working with 18.3 kg of steel. WHen you are finished shaping it, How much of this water is converted to stem
Two wires are identical, except that one is aluminum and one is nichrome. The aluminum wire has a resistance of 0.16 . What is the resistance of the nichrome wire
q1. an automobile with a mass of 1340 kg has 3.00 m between the front and rear axles. its center of gravity is located
A silver wire has resistivity p = 1.96 x 10-8 ohm·m and a cross-sectional area of 4.40 mm2. What is the displacement current in the wire at that time
A 0.280 kg croquet ball makes an elastic head-on collision with asecond ball initially at rest. The second ball moves off with halfthe original speed of the first ball. What is the mass of thesecond ball
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