Answer:
3 seconds to reach maximum height
3.61 seconds to go from maximum height to the ground
6.61 seconds for the whole thing
Explanation:
Since the question states the stone is thrown vertically we can neglect using trigonometry for component vectors and can just use the given values.
At the top of the arc the velocity will instantaneously be at zero, therefore the final velocity for this is 0.
Since we know final velocity(Vf) , initial velocity(V0), and acceleration(a) we can find the time(t) using this equation:
Vf = V0 + at
0 = 30 + (-10)t
t = 3 seconds
*acceleration is negative in this case because we assume that acceleration due to gravity is positive when acting downwards. in this case since the gravitational force is acting against the object the acceleration due to gravity is negative
Next: to find total time I am going to find the total distance it needs to travel to get down to the ground by adding the distance it traveled upward to the height of the tower
the distance traveled upward can be found using this equation:
Vf^2 = V0^2 + 2ad
0^2 = 30^2 + 2(10)d
d = 45m
Then add 45m to the height of the tower(20m) to get 65m total distance = 65m
Now I can find total time needed by plugging into this equation:
d = V0*t + (1/2)a*t^2
*note that since we are starting from the maximum height now: V0 = 0
65 = 0*t + (1/2)(10)t^2
65 = 5t^2
t = 3.61 seconds
An electric motor converts electrical energy into physical movement. Electric motors generate magnetic fields with electric current through a coil. The magnetic field then causes a force with a magnet that causes movement or spinning that runs the motor.
Answer:
a. 340.13 m/s b. 680.26 m/s c. our wavelength doubles
Explanation:
a. speed of wave, v = fλ were f = frequency = 301 Hz and λ = wavelength = 1.13 m.
v = fλ = 301 Hz × 1.13 m = 340.13 m/s
b. If we double the frequency then f = 2 × 301 Hz = 602 Hz
v = fλ = 602 Hz × 1.13 m = 680.26 m/s
c. If the speed of the wave is still 340.13 m/s, if we cut the frequency in half, then frequency now equals f = 301 Hz/2 = 150.5 Hz.
Since v = fλ,
λ = v/f = 340.13 m/s ÷ 150.5 Hz = 2.26 m.
Since our initial wavelength λ₀ = 1.13 m,
λ/λ₀ = 2.26 m/1.13 m = 2.
So, λ = 2λ₀ our wavelength doubles
<h2>
Answer:</h2>
3.0cm
<h2>
Explanation:</h2>
For lenses in an achromatic combination, the following condition holds, assuming the two lenses are of the same materials;
d = ---------(i)
Where;
d= distance between lenses
f₁ = focal length of the first lens
f₂ = focal length of the second lens
From the question;
f₁ = 4.5cm
f₂ = 1.5cm
Substitute these values into equation (i) as follows;
d =
d =
d = 3.0cm
Therefore, the distance between the two lenses is 3.0cm
Answer:
Hey
The rope isn't moving because each boy is pulling with the same force on opposite ends. That being said the bot pulling force is balanced.
Inside the rope are molecules connecting the whole thing together. The force they exert on each other must be equal because they aren't moving but are still exerting forces