Answer:
(a) = 3.7 × 10⁻⁵
(b) = 4.1 × 10⁻⁶ N.M²/C
Explanation:
(a) Diameter of the sphere, d = 1.2 m
Radius of the sphere, r = 0.6 m
Surface charge density, = 8.1 mC/m2 = 8.1 × 10⁻⁶ C/m²
Total charge on the surface of the sphere,
Q = Charge density × Surface area
= 4πr²σ
= 4 (3.14) (0.12²) (8.1 × 10⁻⁶)
= 3.66 × 10⁻⁵C
≅ 3.7 × 10⁻⁵C
Therefore, the net charge on the sphere is 3.7 × 10⁻⁵C
(b)
Total electric flux (∅)
=Q / ε₀
ε₀ = 8.854 × 10⁻¹² N⁻¹C² m⁻²
Q = 3.66 × 10⁻⁵C
= 3.66 × 10⁻⁵ / 8.854 × 10⁻¹²
= 4.1 × 10⁻⁶ N.M²/C
<span>The answer is D. mountains have been eroding for millions of years. The Appalachian Mountains is an older group of fold mountains. It is much older than the Himalays that do not exibit this rounded shape. As tectonic forces enable mountain building, forces of weathering, erosion and mass wasting are constantly eating away at them. </span>
Answer:
b a model of water temperatures in the oceans
Explanation:
A conceptual model is a means of representing abstract theories, with the aim of helping the audience form mental pictures about the subject being discussed. Most of these models utilize diagrams to help form a better understanding of the subject.
In geothermal explorations, water temperatures can be represented using plane or cross sectional views to demonstrate the varying temperatures of water. This is a useful guidde in the exploration proceess and helps any who read the illustrations to form a better understanding of the process and conditions.
Answer:
The equation that will express this result os
h = 0 = vy t - 1/2 g t^2 so the net height traveled by the bullet is zero
vy t = 1/2 g t^2
vy = 1/2 g t
vy = 1/2 * 9.8 * t you could use -9.8 to indicate vy and g are in different directions
tx = sx/ vx = 46.4 / 471 = .0985 sec time to travel up and down to original height
th = .0985 / 2 = .0493 sec time to reach maximum height
vy = g ty = 9.8 * .0493 sec = .483 m/s initial vertical speed
Sy = vy t - 1/2 g t^2 = .483 * .0493 - 1.2 9.8 (.0493^^2)
Sy = .0238 - 4.9 ( .0493)^2 = .0238 - .0119 = .0119 m
Height to which bullet will rise - if the gun is aimed at this height then in .0985 seconds the bullet will fall to zero height
Check: .483 / 9.8 = .0493 time to reach zero vertical speed
total travel time = 2 * .0493 = .0986 sec
471 * .0986 = 46.4 m total distance traveled by bullet