Answer:
865.08 m
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 243 m/s
Height (h) of the cliff = 62 m
Horizontal distance (s) =?
Next, we shall determine the time taken for the cannon to get to the ground. This can be obtained as follow:
Height (h) of the cliff = 62 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
62 = ½ × 9.8 × t²
62 = 4.9 × t²
Divide both side by 4.9
t² = 62/4.9
Take the square root of both side.
t = √(62/4.9)
t = 3.56 s
Finally, we shall determine the horizontal distance travelled by the cannon ball as shown below:
Initial velocity (u) = 243 m/s
Time (t) = 3.56 s
Horizontal distance (s) =?
s = ut
s = 243 × 3.56 s
s = 865.08 m
Thus, the cannon ball will impact the ground 865.08 m from the base of the cliff.
Answer:
y = L h / a √√ (2q V m)
Explanation:
This is a diffraction exercise, so we must use the D'Broglie relation to encode the wavelength of the electron beam.
p = h / λ
λ= h / p
the moment is
p = m v
λ = h / mv
Let's use energy conservation
E = K
q ΔV = ½ m v²
v = √ 2qΔv / m
λ = h / (m √2q ΔV / m)
λ = h / √ (2q ΔV m)
Having the wavelength of the electrons we can use the diffraction ratio
a sin θ = m λ
First minimum occurs for m = 1
sin θ = λ / a
let's use trigonometry for the angles
tan θ = y / x
as in these experiments the angles are very small
tan θ = sin θ / cos θ = sin θ
sin θ = y / x
we substitute
y / x = λ / a
y = x λ / a
we replace the terms
y = L h / a √√ (2q V m)
Answer:
FALSE
Explanation:
an electric field has both magnitude and direction. it also has strength
Answer: 1.77 s
Explanation: In order to solve this problem we have to use the kinematic equation for the position, so we have:
xf= xo+vo*t+(g*t^2)/2 we can consider the origin on the top so the xo=0 and xf=29 m; then
(g*t^2)/2+vo*t-xf=0 vo is the initail velocity, vo=7.65 m/s
then by solving the quadratric equation in t
t=1.77 s
Answer:
speed of white ball is 1.13 m/s and speed of black ball is 2.78 m/s
initial kinetic energy = final kinetic energy
Explanation:
Since there is no external force on the system of two balls so here total momentum of two balls initially must be equal to the total momentum of two balls after collision
So we will have
momentum conservation along x direction
now plug in all values in it
so we have
similarly in Y direction we have
now plug in all values in it
so we have
now from 1st equation we have
so speed of white ball is 1.13 m/s and speed of black ball is 2.78 m/s
Also we know that since this is an elastic collision so here kinetic energy is always conserved to
initial kinetic energy = final kinetic energy