A cube has a density of 1900 kg/m 3 kg/m3 while at rest in the laboratory. What is the cube's density as measured by an experimenter in the laboratory as the cube moves through the laboratory at 92.0 %% of the speed of light in a direction perpendicular to one of its faces

4847.94844926 kg/m³

Explanation:

= Actual density of cube = 1900 kg/m³

= Density change due to motion

v = Velocity of cube = 0.92c

c = Speed of light =

Relativistic density is given by

The cube's density as measured by an experimenter in the laboratory is 4847.94844926 kg/m³

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft