Answer:
Δt=0.85 seconds
Explanation:
In this chase the speed does not change as the mass change.So we can use the follow equation to find the required time
Δt=Δv/gμ
To stop the final speed will be zero therefore the change in speed will be
Δv= vf-vi
Δv=0-5 m/s
Δv= -5 m/s
Now we plug our values for Δv,g and μ to find time
Δt=Δv/gμ
Δt=(-5m/s) ÷(9.8m/s² × 0.6)
Δt=0.85 seconds
For this, we need the formula:
V = k q / r
where k is the Coulombs law constant = 9 x 10^9 N
q is the charge of the hydrogen nucleus (proton) = <span>1.6 x 10^-19 C</span>
r is the distance
Simply plug in the values and solve for V
Answer:
The belt ramp is moving at 0.047 m/s
Explanation:
Hi!
The equation for the position of an object moving in a straight line with a constant acceleration is:
x = x0 + v0 * t + 1/2 * a * t²
where:
x = position at time "t"
x0 = initial position
v0 = initial velocity
t = time
a = acceleration
If the object moves with constant speed, then, a = 0 and x = x0 + v * t
First, let´s find the lenght of the speed ramp by calculating the distance walked by Clifford.
x = x0 + v0 * t +1/2 * a * t²
x0 = 0 placing the origin of our reference system at the begining of the ramp
v0 = 0 Clifford starts from rest
t = 64 s / 4
a = 0.37 m/s²
Then:
x = 1/2 * 0.37 m/s² * 16 s = 3.0 m
Now that we know the lenght of the speed ramp, we can calculate the speed of the ramp which is constant:
x = x0 + v * t x0 = 0
x = v * t
x/t = v
<u>3.0 m / 64 s = 0.047 m/s</u>
Answer:
F = 62.4 N
Explanation:
We must solve this problem in two parts, the first with energy to find the speed with which it reaches the grass and with impulse to determine the strength in the grass
Let's look for the speed of arrival to the grass, write the energy in two points
Initial
Em₀ = U = m g h
Point 2, just by touching the grass
Em₂ = K = ½ m v²
Em₀ = Em₂
m g h = ½ m v²
v = √ 2gh
v = √( 2 9.8 2.8)
v = 7.4 m/s
Let's calculate the momentum until it stops
I = F t = m vf -m v₀
I = 0-0.15 (-7.4)
I = 1.11 N s
We must find the time during which the apple stops, let's use kinematics to find the average acceleration
= v = 7.4 m/s
² = v₀² + 2 a y
0 = v₀² + 2 a y
a = v₀² / 2y
a = 7.4²/2 0.066
a = 414.85 m / s²
Now let's look for the time to stop with this acceleration
= v₀ + at
0 = v₀ + at
t = v₀ / a
t = 7.4 / 414.85
t = 0.0178 s
Let's calculate with the momentum
I = F t
F = I / t
F = 1.11 / 0.0178
F = 62.4 N
Answer:
Discovering that the sun is the center of the whole universe
Explanation:
Discovering that the sun was the center of the universe was the hardest and challenging task Galileo established. From all his observation, this one is the most challenging one.