Answer:
K = G Mm / 9R
Explanation:
Expression for escape velocity V_e =
Kinetic energy at the surface = 1/2 m V_e ²
= 1/2 x m x 2GM/R
GMm/R
Potential energy at the surface
= - GMm/R
Total energy = 0
At height 9R ( 8R from the surface )
potential energy
= - G Mm / 9R
Kinetic energy = K
Total energy will be zero according to law of conservation of mechanical energy
so
K - G Mm / 9R = 0
K = G Mm / 9R
Answer:
Firstly we have to draw the Free Body Diagram (FBD) as shown in the figure attached.
Where the weight of the block has an x-component and y-component:
(1)
(2)
As well as the Normal Force :
(3)
(4)
In addition, we know , then
In the X-component:
(5)
Substituting (1) in (5):
(6)
In addition, we know , where
is the mass of the block and
the gravity acceleration, which is equal to
So:
(7)
(8)
(9) >>>>This is the acceleration of the block
On the other hand, we have the following equation that expresses a <u>relation between</u> the distance with the acceleration
and time
:
(10)
We already know the value of and calculated
, we have to find
:
(11)
(12)
(13) >>>This is the time it takes to the block to go from the initial velocity
to its final velocity
If the acceleration is the variation of the velocity in time, we can use the following equation to find :
(13)
If
(14)
(15)
Finally we get the value of the Final Velocity of the block:
Answer:
A) Three hole punch and either a layered plastic or paper
B) Identify the lengths involved ,
Length of input arm / length of output arm = L1/ L2
Explanation:
<u>a) Materials involved includes :</u>
Three hole punch and either a layered plastic or paper
Identify the forces acting on the three-hole punch which are Input and output forces
Identify the points where they act
<u>B) procedures involved </u>
The mechanical advantage = output force / input force
step one: Identify the lengths involved
assuming no friction or relatively small friction \
mechanical advantage can be calculated as : Length of input arm / length of output arm = L1/ L2
