How do actually get the spacecraft to change from orbiting circularly around the planet to actually beginning its journey?

Kepler's law (as we shall see can be generalised to p² =a³/M, for the period in years and the semimajor axis in AU as before but now adding in the mass of the object being orbited in terms of the mass of the Sun (i.e. M=mass of object being orbited/M_Sun).

What is the orbital period of an object orbiting a star of mass 4 M_Sun at 4AU?

Calculate the period of an object orbiting the Sun at 4 AU.

A force imparts an impulse of 10 Ns to an object with a mass 2 kg that was initially at rest.

What is the speed of the object?

Give your answer in m/s, but do not write the units.

A force of 3 N acts to the right on an object for 5 seconds.

What is the Impulse of this force?

Give your answer in Ns, but do not write the units.

True or False:

  The impulse of a force is the integral of the force over time, or the average force times the duration over which the force acts. 

True or False:

  If there are no external forces acting on a system the total momentum of the system is conserved

Enter the code displayed on the screen in Pace Studio. (Note this is case sensitive, provide your answer all in lower case and check your spelling)

In an experiment for this unit you determine the time period for ten oscillations of a mass on a spring to be 6.4 ± 0.2 s. You can assume the likelihood the “true value” of the ten oscillations lies between 5.8 s and 7.0 s is:

You take 64 repeated measurements of the oscillations of a weight hanging from a spring to determine the period of the oscillations. The standard uncertainty in this measurement is (where s is the sample standard deviation of the repeated measurements):