Explanation:
If a question says "at what point does the ball stop?", it means we need to find the position of the ball when its final velocity is equal to 0. It can be calculated using the equation of kinematics as follows :
d = ut + (1/2) at²
and
v²-u²=2ad
Where, u is initial velocity, v is final velocity, a is acceleration, t is time and d is displacement.
Answer:
BOYLE'S Law
Explanation:
Boyle's law states that at constant temperature the volume of a fixed quantity of an ideal gas is inversely proportional to the pressure of the gas.
Mathematically:
From the universal gas law we have:
where:
P = pressure of the gas
V = volume of the gas
n = no. of moles of gas
T = temperature of the gas
R = universal gas constant
when the mass of gas is fixed i.e. n is constant and temperature is also constant.
here the suffix 1 and 2 denote two different conditions of the same gas.
Answer:
θ₄ = 37.2º
Explanation:
For this exercise it must be solved in two parts, the first part we look for the critical angle, for this we use the law of refraction with the angle in the middle of transmission of tea = 90º
n₁ sin θ₁= n₂ sin 90
θ₁ = sin⁻¹
θ₁ = sin⁻¹ (1.33 / 1.43)
θ₁ = 68.4º
They indicate that the angle of incidence is half of the critical angle
θ₃ = 68.4 / 2 = 34.2º
Let's use the law of refraction again
n₁ sin θ₃ = n₂ sin θ₄
sin θ₄ = sin θ₃
sin θ₄ = sin 34.2
θ₄ = sin⁻¹ 0.604345
θ₄ = 37.2º
Answer:
A.
Explanation:
The SUV accelerates uniformly. In this case, speed () is directly proportional to time (). That is:
(1)
Where is the proportionality constant.
Then, we eliminate this constant by creating the following relationship:
(2)
If we know that , and , then the time interval for the SUV to accelerate from rest to a speed is:
Hence, correct answer is A.