If two clay masses produce a gravitational force of 340N, what will be the force if the distance is divided by 3 and the mass of one is divided by 2? 75.56 N
1530 N
510 N
56.67 N

B: 1530 N

Explanation:

We know ghat formula for force of gravity is;

F_grav = G•m1•m2/d²

We are told that two clay masses produce a gravitational force of 340N.

Thus;

G•m1•m2/d² = 340

Now, if the distance is divided by 3 and the mass of one is divided by 2, we have;

F_g = (G × m1/2 × m2)/(d/3)²

Thus gives;

F_g = ½(G•m1•m2)/((1/9)d²)

Simplifying this gives;

F_g = (9/2)G•m1•m2/d²

From earlier, we saw that;

G•m1•m2/d² = 340

Thus;

F_g = (9/2) × 340

F_g = 1530 N

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.