Mechanics | Relativity Answers

A car horn has a frequency of 3500Hz. An observer hears the car horn approaching with a frequency of 3750Hz. Calculate the speed of the car in m/s. The speed of sound in the air is 343m/s.

The following observations we're made during an experiment to find the value of g using simple pendulum l=90.0 cm
Time t for 20 vibrations =36 sec
Find percentage error in measurement of g given that T=2π√l/g length is being measured to an accuracy of 0.1 cm and time 0.2 sec

Two forces of magnitudes 6.0N 4.0N act on a 3.2kg body. What is the acceleration produced when these forces are acting in the same direction? What is the acceleration produced when these forces are opposite directed? Draw the Free Body Diagram for each

Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, what will be his final velocity and how far will he fall?

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until it is finally lifted off the ground. Determine the distance traveled before takeoff.

From a point on a smooth horizontal plane a body is projected with a velocity 20m/s at an angle of 45° to the horizontal. If the coefficient of restitution is 0.5 the total horizontal distance it travels before coming to rest after several rebounds is (Acceleration due to gravity =10ms^(-2) )
1)40m
2)60m
3)80m
4)120m

The relativistic kinetic energy of a particle is three times its rest mass energy. Find
the:
a) Lorentz factor and speed parameter
b) velocity (in m/s) of the particle.

A rectangular painting measures 1.0 m tall along the y' axis and 3.0 m wide along the
x' axis. The painting is hung on the side wall of a spaceship which is moving passed
the Earth at a speed of 0.9c. Assume that the spaceship is moving along the (x, x')
direction.
a) What are the dimensions of the picture according to the captain of the
spaceship?
b) What are the dimensions of the picture as seen by an observer on the Earth?

A car on a circular track with a radius of 0.3km accelerates from rest with a constant angular acceleration of magnitude 5×10^-3 rad/s. a)How long does it take the car to make one lap around the truck.
b) what is the total acceleration of the car when it has completed half of the lap?