Answer:
The tension on each rope is 28.28 lb
Explanation:
Given that,
Weight = 40 lb
Angle = 45°
We need to calculate the tension on each rope
Considering the symmetry of the system, the tension of each rope must be same
So,
Put the value into the formula
Hence, The tension on each rope is 28.28 lb.
Answer:
a = (v₃₂ - v₂₁) / (t₃₂ -t₂₁)
Explanation:
This is an exercise of average speed, which is defined with the variation of the distance in the unit of time
v = (y₃ - y₂) / (t₃-t₂)
the midpoint of a magnitude is the sum of the magnitude between 2
t_mid = (t₂ + t₃) / 2
the same reasoning is used for the mean acceleration
a = (v_f - v₀) / (t_f - t₀)
in our case
a = (v₃₂ - v₂₁) / (t₃₂ -t₂₁)
Answer:
C. A normal distribution displays the highest data scores in the middle of the distribution.
Explanation:
The statement about a normal distribution that is not true is "a normal distribution displays the highest data scores in the middle of the distribution."
Kinetic energy = 1/2 mv^2
1/2 x 50 x 2.6^2
= 169J
Answer:
(A) The magnitude of the tension increases to four times its original value, 4F.
Explanation:
When an object moves in circular motion, a centripetal force acts on it . In this scenario the centripetal force acting on the stone is given by .
Where m is the mass of object
v- velocity or speed of the object
r - radius of the circle
Important to note is that the tension is equal to the centripetal force.
Given that initially the string makes one complete revolution per second and then speeds up to make two complete revolutions in a second .It implies that the speed has doubled .
Using our equation :F =
where F is the tension in the string
let the initial speed be =v then after it doubles it becomes 2v
Keeping the radius of the circle unchanged we have :
F=
From the equation it can be seen that the initial Tension has increased by a factor of 4 .
Therefore the magnitude of the tension increases to four times its original value, 4F.