In the projectile motion, the direction is characterized by a shape of the arc. Its horizontal component travels in constant velocity while the vertical component travels in constant acceleration. The equation to be used is:
2ay = |v² - v₀²|
where
a is the acceleration due to gravity equal to 9.81 m/s²
y is the height
v is the final velocity
v₀ is the initial velocity
Substitute y=1/2*H and v = 3/4*v₀. The equation for maximum height is
H = v₀²sin²θ/2a
Thus,
(2)(9.81)(1/2)(H) = |(3/4v₀)² - v₀²|
(2)(9.81)(1/2)(v₀²sin²θ/2(9.81)) = |(3/4v₀)² - v₀²|
(1/2)v₀²sin²θ = 7/16 * v₀₂
(1/2)sin²θ = 7/16
sin θ = [2*(7/16)]² = 0.765625
θ = sin⁻¹(0.765625) = 49.96°
Therefore, the launch angle is 49.96°.
<h3>Answer: 2 seconds</h3>
This problem is equivalent to kicking the ball 8 m/s and it rolls to a point 16 meters away, and everything is on a flat ground (with no cliff). This is because the horizontal component of the velocity does not get affected by how tall the cliff is and the force of gravity. Note how the height of the cliff isn't even mentioned. So that's a clue that we can ignore it.
If x is the number of seconds, then 8x is the distance in meters it travels. So we have 8x = 16 solve to x = 2. The ball travels for 2 seconds before reaching its target.
Answer:
C. sodium combines with chlorine to form sodium chloride
Explanation:
Answer:
The wheel and axle is another simple machine. It uses a wheel with a rod attached in the middle as an axle to help it to lift or move loads. In some cases this machine works like a lever to multiply force (like with a doorknob or a fishing reel).
Answer:
Q = 12540 J
Explanation:
It is given that,
Mass of water, m = 50 mL = 50 g
It is heated from 0 degrees Celsius to 60 degrees Celsius.
We need to find the energy required to heat the water. The formula use to find it as follows :
Where c is the specific heat of water, c = 4.18 J/g°C
Put all the values,
So, 12540 J of energy is used to heat the water.