What part of the phospholipid bilayer “hates” water?
2 answers:
You might be interested in
1) -0.5 m/s
We can solve the first part of the problem by using the law of conservation of momentum. In fact, the total momentum of the cannon - shell system must be conserved.
Before the shot, both the cannon and the shell are at rest, so the total momentum is zero:
After the shot, the momentum is:
where
M = 2000 kg is the mass of the cannon
m = 10 kg is the mass of the shell
v = 100 m/s is the velocity of the shell (we take as positive the direction of motion of the shell)
V = ? is the velocity of the cannon
Since momentum is conserved, we can write
And solving for V, we find the velocity of the cannon:
where the negative sign indicates that the cannon moves in the direction opposite to the shell.
2) 0.5 m
The motion of the cannon is a uniformly accelerated motion, so we can solve this part by using suvat equation:
where
v is the final velocity of the cannon
u = 0.5 m/s is the initial velocity of the cannon (now we take as positive the initial direction of motion of the cannon)
is the deceleration of the cannon
s is the distance travelled by the cannon
The cannon will stop when v = 0; substituting and solving the equation for s, we find the minimum safe distance required to stop the cannon:
Answer:
a)
b)
c)
Explanation:
1) Basic concepts
Angular displacement is defined as the angle changed by an object. The units are rad/s.
Angular velocity is defined as the rate of change of angular displacement respect to the change of time, given by this formula:
Angular acceleration is the rate of change of the angular velocity respect to the time
2) Part a
We can define some notation
,represent the initial angular velocity of the wheel
, represent the final angular velocity of the wheel
, represent the angular acceleration of the flywheel
time taken in order to reach the final angular velocity
So we can apply this formula from kinematics:
And solving for t1 we got:
3) Part b
We can use other formula from kinematics in order to find the angular displacement, on this case the following:
Replacing the values for our case we got:
And we can replace from the result for part a, like this:
Since and
then we have:
And simplifying:
4) Part c
For this case we can assume that the angular acceleration in order to stop applied on the wheel is
We have an initial angular velocity , and since at the end stops we have that
Assuming that represent the time in order to stop the wheel, we cna use the following formula
Since if we solve for
we got
And from part a) we can see that , and replacing into the last equation we got: