The speed is
v = 5t² + 4t
where
v is in m/s, and t in s.
The acceleration is the derivative of the velocity. It is
a = 10t + 4
When t = 2 s, the acceleration is
a(2) = 10*2 +4 = 24 m/s²
Answer: 24 m/s²
To solve this problem we will apply the concept of rotational kinetic energy. Once this energy is found we will proceed to find the time from the definition of the power, which indicates the change of energy over time. Let's start with the kinetic energy of the rotating flywheel is
Here
I = moment of inertia
Angular velocity
Here we have that,
Replacing the value of the moment of inertia for this object we have,
The expression for average power is
Therefore the correct answer is 620s.
Hi there!
Typically volcanoes are found alongside tectonic plate boundaries and in that sense could be considered a pattern. One of the most famous is 'The Ring of Fire' which is a ring of volcanoes in the pacific ocean along the pacific plate boundary.
Answer:
18 J
Explanation:
Work done: This can be defined as the product of force and distance acting on a body. The S. I unit of work is Joules (J)
From the question, the work that must be done in bringing the block to rest is equal to the kinetic energy of the block.
Ek = 1/2mv².................... Equation 1
Where Ek = kinetic eenrgy m = mass of the block, v = velocity of the block.
Given: m = 4 kg, v = 3 m/s.
Substituting into equation 1
Ek = 1/2(4)(3²)
Ek = 2(9)
Ek = 18 J.
Thus the work that must me done on the block to bring it to rest = 18 J.
