Physics Answers

Calculate the position of the six cardinal points (focal points, principal points, and nodal points) in the human cornea. Assume the cornea is a thick lens separating air (n = 1) and aqueous humour (n = 1.336). The refractive powers of the first and second surfaces are +47.898 D and −5.952 D, respectively. The cornea is 565 µm thick and has a refractive index of 1.376. Draw a diagram showing where all the cardinal points are located

. A container with glass walls has oil inside. The total length,  of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence,  is 30º. Calculate the lateral shift, x, for this container.. A container with glass walls has oil inside. The total length,  of the containers is 14 cm. The walls of the container have a thickness () of 25 mm and a refractive index of 1.58. The container is surrounded by air (n = 1), and the oil inside the container has a refractive index of 1.42. The angle of incidence,  is 30º. Calculate the lateral shift, x, for this container.  

1. An object 6 cm tall is placed 9 cm in front of a concave mirror that has a focal length of 18cm. Round your answers to 2 decimal places.  

a) Calculate the image distance. [3 marks]

b) Calculate the image height. [2 marks]

The vectors from the origin to the points A, B,

C and D are A= i + j + k

B = 2i +3j

C= 3i + 5j -2k

D = k- j

Show that the lines AB and CD are parallel and find the ratios of their lengths

A pendulum has a mass of 2.35 kg. If the pendulum swings back and forth 110 times in 90.0 seconds, what is the length of the pendulum

n a cooling system, 50 litres of oil per hour are cooled from 120ᴼc to 25ᴼc by means of circulating water. if the water is not to rise in temperature by more than 6ᴼc, calculate the mass of water, in kilograms, required per hour. assume the oil to have a specific heat capacity of 2100j/kgᴼc and its density to be 880 kg/m³.

the loaded roller coaster has a mass of 2500 kg. the starting point of the run is 22m above point A; the run from B to C is 120m long; the run from C to D is 100m. at D, brakes are applied, bringing the coaster to a halt 15m further along a E. if the friction from B to D is 0, find

(a) the potential energy of the roller coaster at the starting point

(b) KE of the roller coaster at C

(c) the speed of the roller coaster at D; the average braking force applied between D and E

what is the orbit radius of a 300kg satellite that completes one circular orbit around the earth every 3.6hr?

a grain retailer puts a 100kg lead block under the platform of his scale. by how much does this increase the reading of the scale when 50 kg sack of rice is on the top of its platform, if the distance between their centers are .03m apart

the heat required to raise the temperature of 30kg of copper from 12 degrees Celsius to 70 degrees Celcius