Physics, 02.03.2020 19:14 lucky1940

A charged cork ball is suspended on a light string in the presence of a uniform electric field E~ = (2.2 × 105 N/C)ˆı + (3.6 × 105 N/C) ˆ . The ball is in equilibrium in the field. Find the charge on the ball. The acceleration due to gravity is 9.8 m/s 2 . Answer in units of nC.

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Answer from: wallacelizzy1

Complete Question:

A charged cork ball is suspended on a light string in the presence of a uniform electric field E~ = (2.2 × 105 N/C) i + (3.6 × 105 N/C) j . The ball is in equilibrium in the field. Find the charge on the ball. The acceleration due to gravity is 9.8 m/s 2. The mass of the ball is 0.7g. The length of the string is 1.4m and at an angle of 37 degrees from the center. Answer in units of nC.

The charge on the ball is 0.1052 nC

Explanation:

Given;

vertical component of the Electric field, Ey = (3.6 × 10⁵ N/C)

horizontal component of the Electric field, Ex = (2.2 × 10⁵ N/C)

If the cork ball is in equilibrium, then the upward force is equal to the downward force.

Also sum of all the forces acting on the cork ball is zero.

$Tsin \theta = q*E_x -------equation (i)\\\\Tcos \theta+q*E_y-mg= 0-----equation (ii)$

From equation (i)

Tsin(37) = (2.2 × 10⁵)q

$T = \frac{2.2X10^5*q}{sin(37)}--------equation (iii)$

Substitute equation (iii) into equation (ii) and solve for q

$\frac{2.2X10^5*q}{sin(37)}(cos (37)) + q((3.6X 10^5) -(7 X10^{-4} X 9.8) =0\\\\(291949.86)q +(360000)q = 0.00686\\\\(651949.86)q = 0.00686\\\\q = \frac{0.00686}{651949.86} = 1.0522 X 10^{-8} C = 0.1052nC$

Therefore, the charge on the ball is 0.1052 nC

Answer from: Quest

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.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

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.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

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 $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

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 $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

Answer from: Quest

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )

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