I have used the vector notation to represent the forces and the velocity which will help to solve the problem in a clearer way.
Show that the relativistic equation ot motion can be written in the form (V.f) Mo dv...
Interpret the rocket equation dv(t)M(t)=-udM(t) [EQ.1] within the framework of the law of momentum conservation, written in a closed system; here M(t) is the rocket mass, at time t, whereas dM(t) isby definition, dM(t)=M(t+dt)-M(t); -dM(t)=|dM(t)|, is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is, still by definition, dv(t)=v(t+dt)–v(t), i.e. theincrease in the velocity of the rocket through the period of time dt; u is the relative...
of the a) (5 p) Interpret the rocket equation dv(t)M(t)=-udM(t) [EQ.1) within the framework law of momentum conservation, written in a closed system; here M(t) is the rocket mass, at time t, whereas dM(t) is by definition, dM(t)=M(t+dt)-M(t); dM(t)=|dM(t), is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is, still by definition, dv(t)=v(t+dt)-v(t), i.e. the increase in the velocity of the rocket through the period of...
problem 34 Equations with the Independent Variable Missing. If a second order differential equation has the form y"f(y, y), then the independent variable t does not appear explicitly, but only through the dependent variable y. If we let y', then we obtain dv/dt-f(y, v). Since the right side of this equation depends on y and v, rather than on and v, this equation is not of the form of the first order equations discussed in Chapter 2. However, if we...
QUESTION 2 25 a) (5 p) Interpret the rocker equation dv(t)M(t)=-udMO (EQ.1) within the framework of the law of momentum conservation, written in a closed system here Mt) is the rocket mass, at time t, whereas dM(t) is by definition, dMtM(t+dt)-M(t): -dM(t)=dM(1), is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is still by definition, dv(t)=v(t+dt)-v(t), i.e. the increase in the velocity of the rocker through...
a) (5 p) Interpret the rocker equation dv(t)M(t)=-udM(t) (EQ.1) within the framework of the law of momentum conservation, written in a closed system, here M(t) is the rocker mass, at time t, whereas M(t) is by definition, dM(t)-M(t+dt)-M(t): - dM(t)-dM(t), is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is, still by definition, dv(t)-v(t+dt)-v(t), i.e. the increase in the velocity of the rocker through the period...
QUESTION 2 a) (5 p) Interpret the rocket equation dv(OM(t)=-udMO [EQ.1) within the framework of the law of momentum conservation, written in a closed system, here Mt) is the rocket mass, time t, whereas M(t) is by definition, dM(t)=M(t+dt)-M(t): -dM(t)-dM(t), is the mass of the gas thrown by the rocket through the infinitely small period of time dt: on the other hand, dv(t) is, still by definition, dv(t)v(t+dt)-vít), i.e. the increase in the velocity of the rocket through the period...
QUESTION 2 a) (5 p) Interpret the rocket equation dv(OM(t)=-udMO (EQ.1) within framework of the law of momentum conservation, written in a closed system, here M(t) is the rocket mass, at time t, whereas M(t) is by definition, dM(t)=M(t+dt)-M(t): -dM(t)=dM(t), is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is, still by definition, dv(t)=v(t+dt)-vít).i.e. the increase in the velocity of the rocket through the period of...
please solve 2 QUESTION 2 a) (5 p) Interpret the rocket equation dv(t)M(1)=-udMO [EQ.1) within the framework of the law of momentan conservation, written in a closed system here M(t) is the rocket mass, at time t, whereas dMt) is by definition, dM(t)-M(t+dt)-M(t): -SM(t)-M(!), is the mass of the gas thrown by the rocket through the infinitely small period of time dt; on the other hand, dv(t) is still by definition, dy(t){t+dt)-v(t), i.e. the increase in the velocity of the...
(1 point) The equation 3ry2r 2y2 (*) can be written in the form y f(y/x), ie., it is homogeneous, so we can use the substitution u = y/x to obtain a separable equation with dependent variable uu(x. Introducing this substitution and using the fact that y' ru' u we can write () as y xu'w = f(u) where f(u) Separating variables we can write the equation in the form da np (n)6 where g(u) = An implicit general solution with...
#4 Solve the following: (1 point) Solve the differential equation 6y 2 +2 where y 6 when 0 (1 point) The differential equation can be written in differential form: M(x, y) dz +N(z, ) dy-0 where ,and N(x, y)--y5-3x The term M(, y) dz + N(x, y) dy becomes an exact differential if the left hand side above is divided by y4. Integrating that new equation, the solution of the differential equation is E C