Speed = distance / time.
Speed of him leaving the nest:
S = 100 / 20sec
5 m/s.
Catching the snake:
S2 = 50 / 5sec
10 m/s.
Average of 5& 10 = 7.5
7.5 m/s has to be the answer.
From Newton's second law of motion, it is identified that the net force applied to the object with mass m, will make it move with an acceleration of a. This can be mathematically translated as,
F = m x a
To solve for the mass of the sled, we derive the equation above such that,
m = F / a
Substituting,
m = (18 N) / (0.39 m/s²)
m = 46.15 kg
Then, we add to the calculated mass the mass of the extra material.
total mass = 46.15kg + 4.5 kg
total mass = 50.65 kg
We solve for the normal force of the surface to the object by calculating its weight.
F₂ = (50.65 kg)(9.8 m/s²)
F₂ = 496.41 N
The force that would allow barely a movement for the object is equal to the product of the normal force and the coefficient of kinetic friction.
F = (F₂)(c)
c = F/F₂
Substituting,
c = 18 N/496.41 N
c = 0.0362
<em>ANSWER: c = 0.0362</em>
Explanation:
The momentum is defined as the product between the mass and velocity:
p = m·v
Let's calculate his total momentum:
ptot = 70kg · 10m/s = 700 kg·m/s
Now we know that he's traveling 30 degrees south-east.
The momentum along the y axis will be:
py = p·cos30° = 606 kg·m/s
Along the x-axis:
px = psin30° = 350 kg·m/s
Answer:
The convective heat transfer coefficient of the fluid is 170.4 watts per square meter-degree Celsius.
Explanation:
The Nusselt number (
) is a dimensionless factor which compares the sensitivity of a fluid due to convection with those due to conduction:
(Eq. 1)
Where:
- Convective heat transfer coefficient, measured in watts per square meter-degree Celsius.
- Conductive heat transfer coefficient, measured in watts per meter-degree Celsius.
- Characteristic length, measured in meters.
In addition, the characteristic length of a cylinder is defined by the following formula:
(Eq. 2)
Where:
- Radius of the cylinder, measured in meters.
- Length of the cylinder, measured in meters.
If we know that 
, 
, 
and 
, then the convective heat coefficient is:
From (Eq. 2):
And by (Eq. 1):
The convective heat transfer coefficient of the fluid is 170.4 watts per square meter-degree Celsius.
