Answer:
The angle is 18.3 degree.
Explanation:
A uniformly charged infinite plane, density σ = 4 x 10^-9 C/cm^2, is placed vertically in air. A small ball of mass 8 g, with charge q = 10^-8 C, hangs close to the plane, so that the string is initially parallel to the plane. Take g = 9.8m/s2. When in equilibrium, by what angle is the string hanging the ball to the plane?
surface charge density, σ = 4 x 10^-5 C/m^2
Charge, q = 10^-8 C
mass, m = 0.008 kg
Let the angle is A and the tension in the string is T.
The electric field due to a plane is

Now equate the forces,

Answer:
Explanation:
It is given that,
Mass of lump, m₁ = 0.05 kg
Initial speed of lump, u₁ = 12 m/s
Mass of the cart, m₂ = 0.15 kg
Initial speed of the cart, u₂ = 0
The lump of clay sticks to the cart as it is a case of inelastic collision. Let v is the speed of the cart and the clay after the collision. As the momentum is conserved in inelastic collision. So,



v = 3 m/s
So, the speed of the cart and the clay after the collision is 3 m/s. Hence, this is the required solution.
Answer:
Examples of physical properties are: color, smell, freezing point, boiling point, melting point, infra-red spectrum, attraction (paramagnetic) or repulsion (diamagnetic) to magnets, opacity, viscosity and density. (HOPED THIS HELPED ;)
Explanation:
Answer:
0.002
Explanation:
The half-life of the radioactive nucleus is related to its quantity, by the following equation:

<u>Where:</u>
<em>N(t): is the quantity of the radioactive nucleus at time t</em>
<em>N₀: is the initial quantity of the radioactive nucleus</em>
<em>t: is the time = 4.5x10⁹ years</em>
<em>t(1/2): is the half-life of the radioactive nucleus = 5x10⁸ years</em>

Therefore, the fraction of the radioactive element in the rock today is 0.002.
I hope it helps you!