Answer:
The maximum height that a cannonball fired at 420 m/s at a 53.0° angles is 5740.48m.
hmax = 5740.48 m
Explanation:
This is an example of parabolic launch. A cannonball is fired on flat ground at 420 m/s at a 53.0° angle and we have to calculate the maximum height that it reach.
V₀ = 420m/s and θ₀ = 53.0°
So, when the cannonball is fired it has horizontal and vertical components:
V₀ₓ = V₀ cos θ₀ = (420m/s)(cos 53°) = 252.76 m/s
V₀y = V₀ cos θ₀ = (420m/s)(cos 53°) = 335.43m/s
When the cannoball reach the maximum height the vertical velocity component is zero, that happens in a tₐ time:
Vy = V₀y - g tₐ = 0
tₐ = V₀y/g
tₐ = (335.43m/s)/(9.8m/s²) = 34.23s
Then, the maximum height is reached in the instant tₐ = 34.23s:
h = V₀y tₐ - 1/2g tₐ²
hmax = (335.43m/s)(34.23s)-1/2(9.8m/s²)(34.23s)²
hmax = 11481.77m - 5741.29m
hmax = 5740.48m
Answer:
Explanation:
The speed of light is 3.0 x 10⁸ m/s
We need to find the distance traveled by it in one day.
1 day = 24 hours
1 day = 24 × 3600 seconds
= 86400 s
Now, using the formula of speed to find the distance covered as follows :
Putting all the values, we get :
Hence, light will cover of distance in one day.
Answer:
Quantum theory
Explanation:
The scientific foundation in quantum mechanics is quantum theory, which describes the existence and behavior of mass and antimatter at the subatomic particles levels. Quantum theory and quantum theory are often related to as the existence and behavior of matter in the universe at that stage.
Answer:
The series A test tube has some left amount of glucose left in it.
Explanation:
Let's assume that a fixed amount of glucose is synthesized, for the fixed quantity the bacteria produced in A and B be x and y respectively,
Therefore, the condition on x and y is, y > x as the no. of bacteria present in B is greater.
As a result B would require a greater amount of energy for its functioning, these energy would be derived from the already fixed amount of glucose present.
A test tube would also require the energy for its x number of bacteria, but it is less than that of B.
Therefore, there would be some unused glucose left in Test Tube Series A which has unused energy.
The force of gravity between two objects is increased when the mass of objects is increased.
