To calculate the horizontal distance traveled by the ball, we first calculate the total time it takes to reach the ground as follows:
t = √[2y/g] = <span>√[2(0.55) / 9.81]
t = 0.33 s
The horizontal distance would be
</span><span>X = Vx*t = 1.2*√[2*.55/9.8] = 0.4 m
</span>
Hope this helps.
Answer:
true I, II and III
Explanation:
The force is a vector quantity, by local it must be added as vectors, we can suppose several cases
.i) the vectors are colonial, so their sum is maximum
F_max = 9 + 15 + 18
F_max = 42 N
This is the maximum value
ii) the anti-parallel vectors giving a minimum value
F_min = 15 + 9-18
F_min = 6 N
iii) the vectors have angles between them, so we must use the Pythagorean theorem to find the resultant, which is an intermediate value between the two extreme values found.
Let's take a look at each statement
I) True This is the maximum value of the force if all the vectors are colonial
II) True The minimum value is 6 N, so zero can never be reached
III) True these bores are between the maximum values and the direction of the vectors, lower values occur when the forces have angular between them
IV) False. Force can never reach zero
V) False. Several of the above are conclusions of the exercise
To find average speed, we can use the formula:
speed(m/s) = total distance (m) / time (s)
total distance = 4km + 3km = 7km = 7000m
time = 1.5 hours = 5400s
speed = 7000/5400 = 1.30m/s
To find average velocity, we can use the same formula, but replacing total distance with total displacement.
total displacement = 5km = 5000m (if we use the distance to Sheila's house and the distance from her house to the supermarket as the vector arrows for vector addition, we get 5km, as stated in the question)
velocity = 5000/5400 = 0.926m/s
Because this is a velocity, we need the direction. To find this we can use the formula:
tan (theta) = opposite / adjacent
tan (theta) = 3000/4000
sin(tan (theta))^-1 = sin (3000/4000)^-1
theta = 48.6° East of North or 41.4° North of East
So the average velocity is 0.926m/s [48.6° East of North/ 41.4° North of East]
The De Broglie wavelength of the electron is
And we can use De Broglie's relationship to find its momentum:
Given
, with m being the electron mass and v its velocity, we can find the electron's velocity:
This velocity is quite small compared to the speed of light, so the electron is non-relativistic and we can find its kinetic energy by using the non-relativistic formula:
