Tarzan tries to cross a river by swinging from one bank to the other on a vine that is 10.0 m long. His speed at the bottom of the swing, just as he clears the surface of the river, is 8.0 m/s. Tarzan does not know that the vine has a breaking strength of 1.0 x 10^3 N. What is the largest mass Tarzan can have and make it safe
Find the speed at which Superman (mass = 89.0 g) must fly head-on into a train (mass = 16405 kg) traveling at 75.0 km/hr to stop it.
See attached file. Three blocks are configured as in the attachment. A string is attached from block #1 to block #2 (looped over a pulley), and the angle between the string going from mass #2 to the pulley, with respect to straight downward, is θ (block #2 is hanging there, not touching block #3). An external force F i
Two identical positive charges separated by a distance of 1X10^-5m have a potential energy of 1X10^-10 Joules. Find the magnitudes of these charges.
SEE ATTACHMENT #1 for a diagram with parameters. Block B whose weight B= 22 nt, is placed on top of Block A whose weight is A= 44 nt. The coefficient of friction for all surfaces is f= .20. A horizontal force P is applied to A to slide both objects across the horizontal table. Find the maximum force P such that block B d
A certain part of an aircraft engine has a volume of 1.3 ft cubed. Find the weight of the piece when it is made of aluminum.
From a rooftop, a rock is released at rest and 2 seconds later, a marble is thrown downward from the roof with initial speed of 24.5 m/sec. Both hit the ground at the same instant. Find the height of the building.
An apparatus consisting of a wood block of density 650 kg/m^3 and mass M= 64 kg, is attached by a cable to a cement block of density 4500 kg/m^3 and mass 125 kg. The cement block rests on the sea bottom, and holds the wood block stationary above it. The sea density is 1025 kg/m^3. Find the tension in the cable.
SEE ATTACHMENT #1 for a diagram of the situation. Two research ships are distance S= 3600 meters apart on the ocean surface. Ship A now drops an explosive device overboard which sinks and explodes upon reaching the bottom. The sound of the explosion is received by A, directly above, 1.5 seconds before it is received by B. A
Equations include those for linear motion, rotary motion, momentum, energy, etc. This is a great study tool, if a student is capable of understanding and using these formulas they should be able to do well on any exam in this area.
A thin uniform ring, placed on a knife edge pivot executes SHM period 'Tr'. The same ring is cut, then straightened to form a bar, which executes SHM with a period 'Tb'. Find the ratio of periods, Tb/Tr.
Given an equation of x(t) for a certain point moving with SHM, get v(t) and a(t), then calculate intercepts on the curves provided in ATTACHMENTS.
The position x of a certain SHM is expressed by: x = (.25 m) cos (8 t). PART a. Take derivatives to write v(t) and a(t). PART b. ATTACHMENT #1 shows general sine or cosine curves with the time axis shown. The location of the vertical axis, not shown, depends on the equation for t=0. For each equation, make a vertical axis
A tank of oil, p=670kg/m^3, develops a leak. The leak is 6m below the open surface of the tank. A. If the leak is circular with a 7.5cm diameter, and the tank is 1.0 in diameter, what is the current volume flow rate of oil leaving the tank? Do not assume the tank is large compared to the leak. B. In time the leak will be 5
A cube of aluminum, whose volume is Va= .125 m^3, and whose density is Da= 2700 kg/m^3 is suspended from a cord which holds it stationary with the top surface horizontal and h= 2.2 m below the surface of fresh water. See attachment #1 showing known parameters. PART a. Find the mass of the aluminum. PART b. Find C, the force
A 0.75 m string is stretched so the tension is 2.3N. A transverse wave with a frequency of 150 Hz and a wavelength of 0.40 m travels on the string. What is the mass of the string?
A proton makes a head-on collison with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic
A particular guitar string is supposed to vibrate at 199.1 Hz, but it is measured to actually vibrate at 214.2 Hz. By what percent should the tension in the string be changed to cause the string to vibrate at the correct fundamental frequency? [Enter the percentage only; do not enter units.]
A solid object made out of lead has a volume of 24.0 cm3 and is supported (from above) by a string while the object is completely submerged in water. What is the tension in the string?
How can I calculate the moments on a system with trestles?