If you know what dark matter is, my friend, then there are several thousand Astrophysicists and Cosmologists at universities around the world who would pay dearly for the opportunity to buy you a cup of coffee, and chat while you sip it.
Answer:
2.4 × 10 ²¹ N/C
Explanation:
The lead-196 nucleus has 82 proton
Q ( charge on the nucleus ) = 82e where e = 1.602 × 10⁻¹⁹ C
Q = 82 × 1.602 × 10⁻¹⁹ C = 1.314 × 10⁻¹⁷ C
vp ( volume of proton ) = 4/3π r³
V, volume of lead nucleus = 4/3πR³
4/3πR³ = 196 × 4/3π r³
R = ∛(196r³) = 5.81 r = 5.81 × 1.20 ✕ 10⁻¹⁵ m = 6.97 × 10⁻¹⁵ m
magnitude of the electric field = KQ/R² = 8.99 × 10⁹ × 1.314 × 10⁻¹⁷ C / (6.97 × 10⁻¹⁵ m )² = 2.4 × 10 ²¹ N/C
Since the acorn is thrown horizontally, the initial vertical velocity is 0 m/s. Let’s use the following equation to determine the time to fall 10 meters.
<span>d = vi * t + ½ * a * t^2, vi = 0, a = 9.8 </span>
<span>10 = 4.9 * t^2 </span>
<span>t = √(10/4.9) </span>
<span>This is approximately 1.43 seconds. Let’s use the following equation to determine the horizontal distance it moves. </span>
<span>d = v * t = 1.1 * √(10/4.9) </span>
<span>This is approximately 1.57 meters. To determine the horizontal distance between the acorn and squirrel, subtract this distance from 5 meters. </span>
<span>d = 5 – 1.1 * √(10/4.9) </span>
<span>This is approximately 3.83 meters. To catch the acorn, the squirrel must move this distance in the same time as the acorn falls 10 meters. </span>
<span>Average velocity = ([5 – 1.1 * √(10/4.9] ÷ √(10/4.9) = 2.4 m/s </span>
<span>I hope this helps you to understand how to solve this type of problem.</span>
The properties of magma that determines the intensity or nature of volcanic eruptions are: (1) <em>viscosity</em>, (2)<em> temperature</em>, and (3) the <em>amount of dissolved gases</em>. Viscosity describes the flowability of a fluid and its resistance to flow. Magma with low viscosity are more fluid-like and lets gases escape.