The outlier is 150
mean with the outlier: around 29.57
median with the outlier: 10
mean without the outlier: 9.5
median without the outlier: 8.5
Answer:
Explanation:
In the first case, the mass is at equilibrium. Therefore, the net force on the mass is equal to zero.
In the second case, the spring is compressed by an amount of D, which is equal to an elastic potential energy of
At this height, the gravitational potential energy of the mass is equal to
Then, the total potential energy at height D is
We apply the following equation
T = 2π * sqrt (L/g)
Where g is the gravity = 9.8 m/s^2
L is the longitude of the pendulum (Height of the tower)
T is the period. (T = 18s)
We find L.............> (T /2π)^2 = L/g
L = g*(T /2π)^2...........> L = 80.428 meters
Answer: N=2
Explanation:
We know that at the surface of the earth, value of g=
R
2
GM
At height h above the Earth's surface, the value of acceleration due to gravity g
′
=
(R+h)
2
GM
So it is given that g
′
=
4
g
When the bullet reaches maximum height, acceleration due to gravity is
4
1
th of that at planet's surface.
That implies
4R
2
GM
=
(R+h)
2
GM
→h=R
By conservation of mechanical energy,
R
−GMm
+
2
1
mv
2
=
h+R
−GMm
+0 since velocity is zero at max height. ⇒
2
1
mv
2
=
2R
GMm
v=
R
GM
=
2R
2GM
=
2
1
R
2GM
=
2
1
v
esc
⇒v
esc
=
2
v
⇒N=2
Hello
This question is to be tackled using vectors. When we look at the Southwest direction, we know it lies exactly between the South and West directions, producing an angle of 45 degrees. When we take sin(45) and multiply it by the original force, we obtain the component towards West; that is:
60 * sin (45) = 42.4 Newtons
And cos(45) gives us the force towards the South direction; that is:
60 * cos(45) = 42.4 Newtons
This can also be checked by using the formula of the magnitude of a vector and squaring 42.4, adding it to the square of 42.4 and then taking the square root of the answer.
sqrt(42.4^2 + 42.4^2) = sqrt(3600) = 60