Answer:
Energy is found as:
E = 1.987·10⁻¹⁹ J
Explanation:
Energy of a single photon of infrared light can be found by using the following formula:
where
E = in Joules
h = Planck's constant = 6.627×10 ⁻³⁴ J
f = frequency in hertz
It can also be written as:
where
c = 2.998×10⁸ ms⁻¹
λ = wavelength
Wavelength is given in the question which is:
λ = 1×10⁻⁶m
Substitute all the values in the Energy formula
Answer:
the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake
Explanation:
This problem can be solved using the kinematics relations, let's start by finding the final velocity of the acceleration period
v² = v₀² + 2 a₁ x
indicate that the initial velocity is zero
v² = 2 a₁ x
let's calculate
v =
v = 143.666 m / s
now for the second interval let's find the distance it takes to stop
v₂² = v² - 2 a₂ x₂
in this part the final velocity is zero (v₂ = 0)
0 = v² - 2 a₂ x₂
x₂ = v² / 2a₂
let's calculate
x₂ =
x₂ = 573 m
as the stopping distance is greater than the free length of the track, the vehicle leaves the track before it can brake