Answer: 
The linear momentum
is given by the following equation:
(1)
Where
is the mass and
the velocity.
On the other hand, the kinetic energy
is given by:
(2)
Which is the same as:

Now, if we double the kinetic energy, equation (2) changes to:
(3)
So, if we want to obtain the kinetic energy as shown in (3), the only option that works is increasing momentum by a factor of
or
:
Applying this in (2):


>>>As we can see, this equation is the same as equation (3)
Therefore, the correct answer is B
First we shall look at some terms:
Velocity - frequency of change of an objects position.
Acceleration - frequency of change of an objects velocity
Since velocity covers both change in direction and speed, we can asume that the answer is B, not because it's the only one we worked with, but because the others don't make any sense:
A - this is not correct, because a chnage in direction can be done withough a change in speed.
C - The scientific definition of acceleration does include speed, and this is not a reasonable answer.
D - Velocity can change, unlike said in the sentence.
Hope it helped,
BioTeacher101
Explanation:
if radius is greater than the force acting on that object is more and if the radius is smaller then the force acting on it is less.
Answer:
Solid sphere will reach first
Explanation:
When an object is released from the top of inclined plane
Then in that case we can use energy conservation to find the final speed at the bottom of the inclined plane
initial gravitational potential energy = final total kinetic energy

now we have

here k = radius of gyration of object
also for pure rolling we have

so now we will have



so we will say that more the value of radius of gyration then less velocity of the object at the bottom
So it has less acceleration while moving on inclined plane for object which has more value of k
So it will take more time for the object to reach the bottom which will have more radius of gyration
Now we know that for hoop

k = R
For spherical shell


For solid sphere


So maximum value of radius of gyration is for hoop and minimum value is for solid sphere
so solid sphere will reach the bottom at first