Answer:
(a) Total area is 14.5 roods
(b) Total area is 14674.522 square meters
Explanation:
Area occupied by land = 3 acres
1 acre = 40 perches by 4 perches = 160 square perches
3 acres = 3×160 = 480 square perches
Area occupied by livestock = 25 perches by 4 perches = 100 square perches
Total area = 480 + 100 = 580 square perches
1 rood = 4 perches by 1 perch = 4 square perches
580 square perches = 580/4 = 14.5 roods
(b) Total area = 580 square perches
1 perch = 16.5ft = 16.5/3.2808 = 5.03 meters
580 square perches × (5.03 meters/1 perch)^2 = 580 ×25.3009 square meters = 14674.522 square meters
<span>15 m/s^2
The first thing to calculate is the difference between the final and initial velocities. So
180 m/s - 120 m/s = 60 m/s
So the plane changed velocity by a total of 60 m/s. Now divide that change in velocity by the amount of time taken to cause that change in velocity, giving
60 m/s / 4.0 s = 15.0 m/s^2
Since you only have 2 significaant figures, round the result to 2 significant figures giving 15 m/s^2</span>
Answer:
Before:


After:




Explanation:
<u>Conservation of Momentum</u>
Two objects of masses m1 and m2 moving at speeds v1o and v2o respectively have a total momentum of

After the collision, they have speeds of v1f and v2f and the total momentum is

Impulse J is defined as

Where F is the average impact force and t is the time it lasted
Also, the impulse is equal to the change of momentum

As the total momentum is conserved:


We can compute the speed of the second object by solving the above equation for v2f

The given data is


a) The impulse will be computed at the very end of the answer
b) Before the collision


c) After collision

Compute the car's speed:


And the car's momentum is

The Impulse J of the system is zero because the total momentum is conserved, i.e. \Delta p=0.
We can compute the impulse for each object

The force can be computed as

The force on the car has the same magnitude and opposite sign
Answer: y will change the slowest but still with a zero (0) value.
Explanation: at y = 3: the height y will change the slowest when the coffee level is at the top of the cone.
To solve the exercise it is necessary to take into account the definition of speed as a function of distance and time, and the speed of air in the sound, as well

Where,
V= Velocity
d= distance
t = time
Re-arrange the equation to find the distance we have,
d=vt
Replacing with our values


It is understood that the sound comes and goes across the entire lake therefore, the length of the lake is half the distance found, that is



Therefore the length of the lake is 634,55m