Aladybug starts at the center of a 16.0in.-diameter turntable and crawls in a straight radial line to the edge. while this is happening, the turntable turns through a 30.0degree angle.
a) find the magnitude of the ladybug's displacement vector.
b) find the direction of the ladybug's displacement vector. express your answer as an angle between the displacement vector and the initial direction of the motion.

A) 8.00 in B)30.0° from initial direction

Explanation:

A)

The Diameter of the turntable is 16 inch so the radius

r = D/2 = 16/2 = 8 inches

Since the lady bug moves from the center to the edge, the displacement is equal to the radius in magnitude

S = r = 8 inches

B)

Let us say the lady bug is moving in positive x axis initially, so the lady bug must have moved an angle of 30° degrees when it reached the edge of the turntable.

θ = 30° - 0°

θ = 30°

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.