Answer:
v = 26.7 mph
Explanation:
During the first 5 hours, at a constant speed of 20 mph, we find the total displacement to be as follows:
Δx₁ = v₁*t₁ = 20 mph*5 h = 100 mi
Assuming we can neglect the displacement during the speeding up from 20 to 60 mph, we can find the the total displacement at 60 mph as follows:
Δx₂ = v₂*t₂ = 60 mph*1 h = 60 mi
So, the total displacement during all the trip wil be:
Δx = Δx₁ + Δx₂ = 100 mi + 60 mi = 160 mi
So we can find the the average velocity during the 6-hour period, applying the definition of average velocity, as follows:
v = Δx / Δt = 160 mi / 6 h = 26.7 mph
Solution :
Michaelis-Menten kinetics in the field of biochemistry is considered as one of the well known models for enzyme kinetics. The model represents an equation that describes the enzymatic reactions's rate by relating the reaction rate to the substrate's concentration. The equation is named after the two famous scientists, Leonor Michaelis and Maud Menten.
The formula is :
![$v=\frac{V_{max}[S]}{K_M + [S]}$](https://tex.z-dn.net/?f=%24v%3D%5Cfrac%7BV_%7Bmax%7D%5BS%5D%7D%7BK_M%20%2B%20%5BS%5D%7D%24)
where v = velocity of reaction
= maximum rate achieved
= Michaelis constant
[S] = concentration of the substrate, S
According to the question, by putting the velocity of reaction, v as
, we get the above equation as
![$[S]= \frac{K_M}{3}$](https://tex.z-dn.net/?f=%24%5BS%5D%3D%20%5Cfrac%7BK_M%7D%7B3%7D%24)
Therefore the answer is ![$[S]= \frac{K_M}{3}$](https://tex.z-dn.net/?f=%24%5BS%5D%3D%20%5Cfrac%7BK_M%7D%7B3%7D%24)
Answer:
Explanation:
Answer:
4.53 kg
Explanation:
spring constant, K = 16 N/m
Amplitude, A = 20 cm = 0.2 m
Maximum speed, v = 37.6 cm/s = 0.376 m/s
The formula for maximum speed is given by
v = ωA
where, ω is the angular frequency
0.376 = ω x 0.2
ω = 1.88 rad/s



m = 4.53 kg
Thus, the mass of banana bunch is 4.53 kg.
Answer:
2.7 Pizzas.
Explanation:
The power required to walk through 5km in 1 hour is 380W.
A watt is basically Jules per second, then we need to standardized this measurement to second.
5km/hr is equal to,

Walking by 2.5 hours is equal to a distance of,

The total energy required then would be,

Then we know that one pizza slice gives
of energy, the total pizza needed are,

<em>Then you need to buy 3 pizza.</em>