When firing straight up:
v^2 = u^2 - 2gh, where v = final velocity = 0, u = initial velocity, g = gravitational acceleration, h = maximum height attained.
Then,
0 = u^2 - 2gh
u = Sqrt (2gh) ---- (1)
When firing at 45°,
Initial velocity, U = u Sin 45 = Sqrt (2gh)·Sin 45
Maximum height, H = U^2*(Sin Ф)^2/2g
substituting;
H = [Sqrt (2gh)·Sin 45]^2*(Sin 45)^2]/2g
H = [2gh*(Sin 45)^2*(Sin 45)^2]/2g
H = [h*(Sin 45)^4] = h/4
Therefore, maximum height when the gun fires at 45° is a quarter of maximum height when the gun fires vertically up.
T = 2*pi*Sqrt (L/g)
T = Period = Time to complete one oscillation, L = Length of the pendulum, g = gravitational acceleration.
Then,
L = {T/(2*pi)}^2*g = {7/(2*pi)}^2*3.711 = 4.606 m
Answer:
near a flame and a hot plate
Explanation:
Answer:
tanΘ
Explanation:
Let gravitational acceleration be g. When the avalanche starts to occur, the gravity force that is parallel to the slope is the same as friction force.
Gravity force that is parallel to the slope can be written as:
G = mgsinΘ
The friction force is the product of normal force and coefficient:

where normal force N is the gravity in the direction perpendicular to the slope

As stated before, gravity force that is parallel to the slope is the same as friction force:



Answer:
1320336992.2512 m²
1320.33 kilometers or 509.79 miles
Explanation:
Energy transferred by the sun

Energy required by the United States is
(assumed)
Power

Area

Area of the solar collector would be 1320336992.2512 m²
Converting to km²


Converting to mi²


Each side of the square would be 1320.33 kilometers or 509.79 miles