A3.00 cm diameter coin rolls up a 30.0 degree incline plane. the coin starts with an initial angular speed of 60.0 rad/s in a straight line without slipping. how far does it roll up the incline?

The coin roll up to 11.57 cm at 30° incline plane.

Explanation:

Given that,

Diameter = 3.00 cm

Angle = 30.0 °

Angular speed = 60.0 rad/s

We need to calculate the length

Using conservation of energy

Put the value into the formula

Hence, The coin roll up to 11.57 cm at 30° incline plane.

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.

reserve is the answer