Physics Properties Of Matter Level: High School
Archimede’s Principle
If the density of gold is 19.3 x 10^3 kg/m^3 , what buoyant force does a 0.60 kg gold crown experience when it is immersed in water ?
Physics Properties Of Matter Level: High School
A circular window of 30 cm diameter is a submarine can withstand a maximum net force of 5.20 x 10^5 N . What is the maximum depth in a fresh water lake to which the submarine can go without damaging the window .
Physics Properties Of Matter Level: High School
A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm . It has a density of 1.25 g/cm^3 ? What is the maximum pressure it can exert on a horizontal surface ?
Physics Properties Of Matter Level: High School
Bernoulli’s law
Examine the schematic of the tower . Water flows in at the top to balance the water flowing out through the holes , so the height of the water in the tower stays fixed . Take state 1 at the top of the water in the tower and state 2 in the water just as it flows out of the hole .a) What is the pressure at states 1 and 2 ? Explain .
b) The water speed at state 1 can be taken to be zero as the level of water in the tower is constant . Using Bernoulli’s equation find the speed of the fluid at state 2 as it comes out of the hole ( this is speed of efflux ) .
c) If the holes are at heights of 2.0 cm , 12 cm and 22 cm above the surface of the water in the lower basin , and the top hole is 2.0 cm below the top of the water in the tower , calculate the speed efflux for each hole .
d) Calculate the range you would expect for each jet of water if the bottom hole is 2.0 cm from the surface of the water in the basin. Which one goes farthest (top , middle or bottom ) ?
Physics Kinematics Level: High School
Projectile motion
Suppose you were on top of a cliff of height h , and threw a ball horizontally with speed v , How far would it go before it hits the ground ? (Ignore air resistance) (ie, what is the formula that describes range in terms of horizontal speed and height ?)
Physics Properties Of Matter Level: High School
Archimedes principle
Ice is less dense than water so it floats in water . But the densities of ice and water are close , so most of an iceberg is submerged , even in salt water which is denser than pure water .a) For the specific gravities of ice and water given in the table on the next page what fraction of the volume of the ice cube in a glass of pure water will be above the surface ? If you used salt water of specific gravity from the same table what fraction of volume of the ice cube would be above the surface ?
b)If the cube’s volume is (1.0 cm)^3 What is the weight of the cube ?
c) What is the weight of the part of the cube above water level in pure water ?
d) What is the weight of the part below water level in pure water ?
e) What is the weight of the pure water displaced by the sunken part of the cube ? How does this compare with your answer to part (b) ? Does this make sense ?
Physics Properties Of Matter Level: High School
What is the “specific gravity” of a substance ? If a substance has a specific gravity of 2.5 what is its density in kg/m^3 ? What is its density in grams/cc ?
Physics Waves And Oscillations Level: High School
A piano string of length 1.50 m and mass density 26.0 mg/m vibrates at a (fundamental) frequency of 450.0 Hz .a) What is the speed of the transverse string waves ?
b) What is the tension ?
c) What are the wavelength and frequency of the sound wave in air produced by vibration of the string ? The speed of sound in air at room temperature is 340 m/s .
Physics Ray Optics Level: High School
Superposition Principle
Two waves with identical frequency but different amplitudes A1 = 6.0 cm and A2 = 3.0 cm , occupy the same region of space (are superimposed ) .a) At what phase difference does the resulting wave have the largest amplitude ? What is the amplitude of the resulting wave in that case ?
b) At what phase difference does the resulting wave have the smallest amplitude and what is its amplitude ?
Physics Ray Optics Level: High School
Light of wavelength 0.512 micro m (in air ) enters the water in a swimming pool . The speed of light in water is 0.730 times the speed in air . What is the wavelength of the light in water ?
Physics Waves And Oscillations Level: High School
A traveling sine wave is the result of the superposition of two other sine waves with equal amplitudes , wavelengths , and frequencies . The two component waves each have amplitude 4.00 cm . If the resultant wave has amplitude 6.78 cm , What is the phase difference between the component waves ? [ Hint : Let y1 = A sin (wt + kx ) and y2 = A sin (wt + kx –c). Make use of the trigonometric identity below when finding y = y1 + y2 and identify the new amplitude in terms of the original amplitude ]
Physics Waves And Oscillations Level: High School
The speed of sound in air at room temperature is 338 m/s .a) What is the frequency of a sound wave in air with wavelength 2.5 m ?
b) What is the frequency of a radio wave with the same wavelength ? (Radio waves are electromagnetic waves that travel at 3.0 x 10^8 m/s in air or in vacuum .)
Physics Waves And Oscillations Level: High School
A uniform string of length 10.0 m and weight 0.35 N is attached to the ceiling . A weight of 1.00 kN hangs from its lower end . The lower end of the strind is suddenly displaced horizontally . How long does it take the resulting wave pulse to travel to the upper end ? [Hint : Is the weight of the string negligible in comparison with that of the hanging mass ? ]
Physics Waves And Oscillations Level: High School
The amplitude of oscillation of a pendulum decays by a factor of 22.0 in 120 s . By what factor has its energy decays in that time ?
Physics Waves And Oscillations Level: High School
A 0.60 kg mass is suspended from a string , forming a pendulum . The period of this pendulum is 2.2 s when the amplitude is 2.1 cm . The mass of the pendulum is now reduced to 0.22 kg . What is the period of oscillation now , when the amplitude is 1.1 cm ?