Answer:
Dy = 111.66 [m]
t = 3.5 [s]
Explanation:
To solve this problem we must use the equations of kinematics.
where:
Vf = final velocity [m/s]
Vo = initial velocity = 27 [m/s]
g = gravity acceleration = 9.81 [m/s²]
t = time = 3.5 [s]
Note: The negative sign of the equation means that the gravity acceleration goes in opposite direction
Vf = 27 - (9,81*3,5)
Vf = - 7.33 [m/s] (this negative sign indicates that at this moment the snowball is going downwards)
To find how high the snowball was we must use the following equation:
Dy = (27*3.5) + (0.5*9.81*3.5)
Dy = 94.5 + (17.16)
Dy = 111.66 [m]
Answer:
D) 11 m/s
Explanation:
We have to calculate the velocity of the hot dog with respect to the observer still outside the train. This velocity will be given by:
where
is the velocity of the train (towards right)
is the velocity of the man (towards right)
is the velocity of the hot-dog (towards left, so we put a negative sign)
By replacing the numbers into the equation, we find
and the positive sign means the velocity is toward right.
Answer:
λ = 4.023 10⁻⁷ m
Explanation:
The double-slit interference phenomenon is described by
d sin θ = (m + ½) λ destructive interference
d sin θ = m λ constructive interference
we can use trigonometry
tan θ = y / L
how these experiments occur for small angles
tan θ = sin θ/cos θ = sin θ
sin θ = y / L
we substitute
d y / L = (m + ½) λ destructive interference
d y / L = m λ constructive interference
with the expression for constructive interference we look for the separation of the slits
d = m λ L / y
d = 1 603 10⁻⁹ 3 /4.84 10⁻³
d = 3.738 10⁻⁴ m
Now let's analyze the case where the distance for constructive and destructive interference occurs at the same point y = 4.84 mm = 4.84 10⁻³m
d y / L = (m + ½) λ
λ =
the first strip is for m = 1
let's calculate
λ =
λ = 4.023 10⁻⁷ m