Consider a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket’s position measured from the center of the Earth is given by:
where RE is the radius of the Earth (6.38 ✕ 106m) and g is the constant acceleration
of an object in free fall near the Earth’s surface (9.81 m/s2). Continue reading
Particles with two different masses m and M are located along a linear harmonic chain
of infinite length. The chain has a force constant k (see the picture below). The
distance between two particles with the same mass is equilibrium and equals to a.
qj and rj are the deviations of particles mj and Mj from their equilibrium positions respectively. Continue reading
The location of a solid particle of mass M is determined by the following equations:
X=A+Bt+C Y=D-Et+Fcos(Gt) Z=H+Fsin(Gt)
Where A…H are constants.
Determine the three components of the acceleration as a function of time. Does the time have influence on the direction and magnitude of the acceleration? Continue reading
An athlete participates in a 200 meter race. He or she starts at rest and accelerates at constant acceleration for 5 seconds. After that, the velocity of the athlete is constant until the end. Find the distance and speed of the athlete at the 5th second from the start. Suppose it takes 15 seconds for the athlete to run the entire distance of the race. Find the value of the acceleration. Continue reading
Unit: Conversion and Power. Force and Motion
Unit: Conversion and Power
Problem 1. A power station produces 5.609 [GW] of power (1 watt = 1 Joul/1second). How much gasoline should be burned in order to produce the same amount of power? Gasoline has 1,14*[BTU/gallon] on average. Continue reading