Answer:
1.05045 kg/m³
Explanation:
= Density of air = 1.26 kg/m³
= Density of hot air
= Mass of balloon = 539 kg
g = Acceleration due to gravity = 9.81 m/s²
v = Volume of air in balloon = 
The net force on the balloon will be

Also


The density of hot air inside the envelope is 1.05045 kg/m³
Answer:
Explanation:
30 rev/min (2π rad/rev) / (60 s/min) = π rad/s
α = Δω/t = (0 - π)/3 = π/3 rad/s²
θ = ½αt² = ½(π/3)3² = 1.5π radians
θ = 1.5π rad/2π rad/rev = 0.75 rev
Velocity = Displacement / time
Displacement = 450 - 150 = 300.
By the time he walked 150 East, he walked backwards. Hence displacement is 300 m West.
Velocity = 300m / 300 s
= 1 m/s
Answer: To "hole the ball: on the very first putt is requered is required a 7.08 m displacement at an angle 11.03° north of east.
Explanation:
Let's add each stroke as vectors
- Due east direction: 4.6 m + 2.5 cos(20°) m ≅ 6.95 m
- Due north direction: 0.5 m + 2.5 sin(20°) m ≅ 1.35 m
So the total displacement is

and the direction

Answer:
The wavelength is 539 nm.
Explanation:
Given that,
Distance of screen L= 10 m
Width s= 5.4 cm
Grating separation d= 0.1 mm
Suppose the pattern is displayed on a screen a distance L from the grating and the spots are separated by s. we need to find the wavelength.
The angle between the central and first maximum is given as




We need to calculate the wavelength
The condition for maximum of a diffraction grating is


Put the value into the formula



Hence, The wavelength is 539 nm.