You whirl a ball tied to a light string of negligible mass in a vertical circle in the clockwise direction. the mass of the ball is 0.200 kg and the length of the string is 0.660 m. you maintain the center of the circle to be at a constant height of 2.80 m from the floor. if the string breaks when the ball is at the lowest point and its speed is 2.50 m/s, where on the floor does it land? express your answer in vector form with the center of the circle as the origin.

d= - 1.63 i - 2.14 j

Explanation:

Given that

m= 0.2 kg

r = 0.66 m

H = 2.8 m

Height from ground ,h=2.8 - 0.66

h=2.14 m/s

u= 2.5 m/s

When the string breaks then ball have only horizontal direction and velocity in vertical direction(v) is zero.

The time taken by ball to strike the floor

t= 0.65 sec

So the distance cover in horizontal direction ,x

x = u .t

x = 2.5 x 0.65

x=1.63 m

y= =2.14

So in the vector form

d= - 1.63 i - 2.14 j

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.

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.