Each ball has a negligible size and a mass of 11.5 kg and is attached to the end of a rod whose mass may be neglected. The rod is subjected to a torque M = (t2+2) N⋅m, where t is in seconds. Each ball has a speed v = 2 m/s when t = 0.

Determine the speed of each ball when t = 3 s.

Express your answer to three significant figures and include the appropriate units.

3.31m/s

Explanation:

Angular momentum for 3s is

Moment if inertia is

Angular speed

ω = L/I

The speed of each ball is

V = ωL

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.