Mechanics | Relativity Answers

The horizontal and vertical components of a force are respectively 20 N and 30 N. Calculate the magnitude and direction of the force.

“Measurement of time intervals are affected by relative motion between an observer if you agree with the statement, explain the above statement.

An astronaut, whose height on the earth is exactly 6 ft is lying parallel to the axis of a spacecraft moving at 0.800c relative to the earth. Calculate the height as measured by an on the earth and by an observer on the same same spacecraft.

Two boats, A and B, move away from a buoy anchored at the middle of a river along the mutually perpendicular straight lines: the boat A along the river, and the boat B across the river. Having moved off an equal distance from the buoy the boats returned. Find the ratio of times of motion of boats τA/τB if the velocity of each boat with respect to water is η = 1.2 times greater than the stream velocity.

The body of mass 5kg is suspended by an inextensible string from a nail 0 and is pulled by a horizontal force F until the angle of inclination of the string to the vertical is 60 degrees. Calculate the value of F and the tension in the string( g as 10m/s

An airplane is flying in a horizontal circle at a speed of 364km/h. If the wings of the plane are tilted 38.6° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an “aerodynamic lift” that is perpendicular to the wing surface

An AM radio station broadcasts an electromagnetic wave with a frequency of 743 kHz, whereas an FM station broadcasts an electromagnetic wave with a frequency of 92.1 MHz. How many AM photons are needed to have a total energy equal to that of one FM photon?

A diverging lens (f = –11.0 cm) is located 24.0 cm to the left of a converging lens (f = 35.0 cm). A 3.70-cm-tall object stands to the left of the diverging lens, exactly at its focal point. (a) Determine the distance of the final image relative to the converging lens. (b) What is the height of the final image (including the proper algebraic sign)?

An object is 23 cm in front of a diverging lens that has a focal length of -11 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 1.9?

A ray of sunlight is passing from diamond into crown glass; the angle of incidence is 25.70°. The indices of refraction for the blue and red components of the ray are: blue (ndiamond = 2.444, ncrown glass = 1.531), and red (ndiamond = 2.410, ncrown glass = 1.520). Determine the angle between the refracted blue and red rays in the crown glass.