Ten days after it was launched toward mars in december 1998, the mars climate orbiter spacecraft (mass 629 kg) was 2.87×106km from the earth and traveling at 1.20×104km/h relative to the earth. at this time, what were the following. (a) the spacecraft's kinetic energy relative to the earth j (b) the potential energy of the earth-spacecraft system j

3494444444.44444 J

-87077491.39453 J

Explanation:

M = Mass of Earth =

G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²

R = Radius of Earth =

h = Altitude =

m = Mass of satellite = 629 kg

v = Velocity of spacecraft =

The kinetic energy is given by

The spacecraft's kinetic energy relative to the earth is 3494444444.44444 J

Potential energy is given by

The potential energy of the earth-spacecraft system is -87077491.39453 J

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases . this process does not change the mass number.

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as -decay. in this the mass number remains same.

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.