Answer:
<h2>2.10 meters per second</h2><h2 />
Explanation:
speed (velocity) = distance / time
= <u>0.2 km (1000 m/km) </u>
95 secs.
= 2.10 meters per second
Answer:
0.00185 °C
Explanation:
From the question,
The potential energy of the bird = heat gained by the water in the fish tank.
mgh = cm'(Δt)................... Equation 1
Where m = mass of the bird, g = acceleration due to gravity, h = height, c = specific heat capacity of water, m' = mass of water, Δt = rise in temperature of water.
make Δt the subject of the equation
Δt = mgh/cm'............... Equation 2
Given: m = 1 kg, h = 40 m, m' = 50.5 kg
constant: g = 9.8 m/s², c = 4200 J/kg.K
Substitute into equation 2
Δt = 1(40)(9.8)/(50.5×4200)
Δt = 392/212100
Δt = 0.00185 °C
Answer: B. The south magnetic pole attracts the north pole of another magnet.
Explanation:
The correct statement below about the interaction between magnets, magnetic materials and charges is that the south magnetic pole attracts the north pole of another magnet.
We should note that a magnet typically consists of two poles which are the North Pole and the South pole. The opposite poles doesn't repel each other but attracts each other while same pole repels one another.
In this case, the North Pole will attract the South Pole while same magnetic piles repel e.g the North Pole will repel the North Pole.
Explanation:
Find the time it takes for the roadrunner to land.
Given (in the y direction):
Δy = 0 m
v₀ = v sin 10°
a = -9.81 m/s²
Find: t as a function of v
Δy = v₀ t + ½ at²
(0 m) = (v sin 10°) t + ½ (-9.81 m/s²) t²
t = (v sin 10°) / 4.905
Given (in the x direction):
Δx = 20.5 m
v₀ = v cos 10°
a = 0 m/s²
Find: t as a function of v
Δx = v₀ t + ½ at²
(20.5 m) = (v cos 10°) t + ½ (0 m/s²) t²
t = 20.5 / (v cos 10°)
Set equal and solve for v:
(v sin 10°) / 4.905 = 20.5 / (v cos 10°)
v² sin 10° cos 10° = 100.5525
v = 24.2485398301588
Graph:
desmos.com/calculator/x4b2zf1hxj
None of the options shown are correct.
Answer:
a) wavelength = 656.3 nm
b) the value of Rydberg's constant for this measurement is 1.097 × 10⁷ m⁻¹
Explanation:
Given that;
angle of diffraction Θₓ = 22.78°
incident angle Θ₁ = 0
slit separation d = 5900 lines per cm = 1/5900 cm = 10⁻²/5900 m = 0.01/5900 m
order of diffraction n = 1
wavelength λ = ?
to find the wavelength, we use the expression
λ = d (sinΘ₁ + sinΘₓ) / n
To find the wavelength λ;
λ = 0.01/5900 × (sin0 + sin22.78° )
λ = 6.5626 × 10⁻⁷ m
λ = 656.3 x 10⁻⁹ m
∴ λ = 656.3 nm
b)
According Balnur's series spectral lines; n₁ = 3, n₂ = 2 and
λ = R [ 1/n₂² - 1/n₁²]
where R is Rydberg's constant
from λ = R [ 1/n₂² - 1/n₁²]
R = 1/λ [n₂²n₁² / n₁² - n₂²]
R = 10⁹/ 656.3 [ 9 × 4 / 9 - 4 ]
R = 1.097 × 10⁷ m⁻¹
Therefore the value of Rydberg's constant for this measurement is 1.097 × 10⁷ m⁻¹