4968

Physics Waves And Oscillations Level: Misc Level

 A string is stretched between fixed supports separated by 68.5 m. It is observed to have resonant frequencies of 341.000 and 378.889 Hz, and no other resonant frequencies between these two.

(a) What is the lowest resonant frequency for this string?

(b) What is the wave speed for this string?




4966

Physics Modern Physics Level: Misc Level

Calculate the energy in keV of an x -ray photon that has a frequency of 1.69 x 10Hz.




4965

Physics Wave Optics Level: Misc Level

Calculate the wavelength in nanometers of green light that has a frequency of 5 x10 Hz.




4964

Physics Electromagnetic Waves Level: Misc Level

A popular FM radio station broadcasts at 100 MHz. Calculate the wavelength of this frequency.




4963

Physics Electromagnetic Waves Level: Misc Level

Calculate the frequency of a 1.77 Angstrom x-ray photon.




4962

Physics Electromagnetic Waves Level: Misc Level

Calculate the frequency of ultraviolet -blue light, which has a wavelength of 350 nanometers.

Formula C=speed of light V= Frequency 350 nanometers =Wavelength




4961

Physics Heat & Thermodynamics Level: Misc Level

Two grams of liquid water are at 0 o C, and another five grams are at 100 oC.Heat is removed from the water at 0 oC, completely freezing it at 0 oC.This heat is then used to vaporize some of the water at 100 oC. What is the mass (in grams) of the liquid water that remains?




4960

Physics Heat & Thermodynamics Level: Misc Level

A woman finds the front windshield of her car covered with ice at 12.4 oC .The ice has a thickness of 4.35 x 10-4 m,3.and the windshield has an area of 1.25 m2. The density of ice is 917 kg /m3.How much heat is required to melt the ice?




4959

Physics Heat & Thermodynamics Level: Misc Level

The latent heat of vaporizaiton of H2O at body temperature (37.0 oC ) is 2.42 x106 J/kg. To cool the body of a 72 kg jogger (average specific heat capacity =3500 J/(kg oC ) by 1.2 C %, how many kilograms of water in the from of sweat have to be evaporated?




4958

Physics Heat & Thermodynamics Level: Misc Level

At a fabrication plant, a hot metal forging has a mass of 79 kg and a specific heat capacity of 430 J/ (kg.% C).To harden it, the forging is immersed in 710 kg of oil that has a temperature of 32 % C and a specific heat capacity of 3000 J/ (kg.% C). The final temperature of the oil and forging at thermal equilibrium is 46 %C. Assuming that heat flows only between the forging and the oil, determine the initial temperature of the forging.




4957

Mathematics Integration Level: Misc Level

Integrate

\int_{1}^{\frac{\pi }{2}}[x^{2}Cos(x^{3}+2)+\frac{1}{4}x^{2}-25]dx




4955

Mathematics Integration Level: Misc Level

f(x)=\int_{10}^{3}xCosxdx

 

 Riemann sum expression




4954

Mathematics Integration Level: Misc Level

\int_{1}^{0}x^{2}dx

Use the definition of Riemann Sum integral.




4953

Physics Rotational Mechanics Level: Misc Level

A turbine in an electric power plant rotates at 3600 rpm. Find its angular speed in radians /second, and determine the linear speed of a point 72 cm from the axis of rotation. The power plant shuts down, and the turbine coast to a halt in 590 s. If the angular acceleration is constant, how many revolutions does the turbine make during this time?




4952

Physics Force & Laws Of Motion Level: Misc Level

A truck of mass 9 M is moving at a speed v = 15 km /h when it collides head on with a parked car of mass M. Spring mounted bumpers ensure that the collision is essentially elastic. Find the final velocities of each vehicle. Repeat for the case of the car moving at speed v=15 km/h and colliding with the stationary truck. What fraction of the incident vehicle's kinetic energy is transferred in each case?


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