Answer:
4.28 s
Explanation:
after two seconds (2 s) His friends is
d = 3.5 m/s x 2 s = 7 meter ahead.
in this state, a bicylist start from initial velocity vo = 0 m/s and accelerat 2.4 m/s²
then, when bicylist reach his friend
t friend = t bicyclist = t
d bicylist = d friend + d
-------
d friend = 3.5 . t
d bicylist = vo . t + ½ a t²
d friend + d = vo . t + ½ a t²
3.5 t + 7 = 0 . t + ½ . 2.4 . t²
3.5 t + 7 = 1.2 t²
0 = 1.2 t² - 3.5 t - 7
t = -1.363 and t = 4.28
take the positive one
Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
Answer:
Number of slices of pizza is 993.
Explanation:
It is given that, in one slice of "everything" pizza there are 650 Calories. The conversion factor from calories to joules is :
1 calorie = 4.184 joules
650 calories = 2719.6 joules
Total energy in the pizza, E = 2700000 J
Let there are n number of slices of pizza. It is given by :
n = 992.79
or
n = 993
So, there are 993 slices of pizza. Hence, this is the required solution.
Answer:
A. 50 Hz
B. 2 m/s
Explanation:
We'll begin by converting 20 ms to s. This can be obtained as follow:
1000 ms = 1 s
Therefore,
20 ms = 20 ms × 1 s / 1000 ms
20 ms = 0.02 s
Next, we shall convert the value of the wavelength (i.e 4cm) to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
4 cm = 4 cm × 1 m / 100 cm
4 cm = 0.04 m
A. Determination of the frequency.
Period (T) = 0.02 s
Frequency (f) =?
f = 1 / T
f = 1 / 0.02
f = 50 Hz
Therefore, the frequency of the wave is 50 Hz
B. Determination of the velocity.
Wavelength (λ) = 0.04 m
Frequency (f) = 50 Hz
Velocity (v) =?
v = λf
V = 0.04 × 50
v = 2 m/s
Therefore, the velocity of the wave is 2 m/s
