Let's think about the meaning of k, the spring's constant. Hooks law states:
or, rewriting it:
where F is the force applied by the spring when we compress/release it of a certain amount of displacement x.
As we can see from the formula, the higher the value of k, the stronger is the force of the spring when we compress it of a certain fixed value x, so it will be more difficult to compress it with respect to a spring with smaller k. This means that the higher k, the stiffer is the spring.
Answer:
V = 4.826m/s, 716N
Explanation:
At the lowest swinging point, the net force acting on the child is equal to the centripetal force and it could be represented as
F = mv^2/r
2T-mg =mv^2/r
r(2T-mg) = mv^2
Divide both sides by m
r(2T-mg)/m = mv^2/m
r(2T/m-g) = v^2
V= √ r(2T/m-g)
Where v is the velocity
r is the length of the chain
m is the mass of the child in kg
T is the tension in Newton
g is the acceleration due to gravity
Given that g = 9.8m/s^2
T = 358N
m = 41.0kg
r = 3.04m
Substituting the values into the formula
V = √ 3.04( 2*358/41 -9.89
V = √ 3.04 ( 716/41 - 9.8 )
V = √3.04 ( 17.463-9.8 )
V = √3.04( 7.6634)
V = √23.2967
V = 4.826m/s
For the second part which is the tension in the two chains
N - m*g = m*(v^2 / r)
N - (41)*(9.81) = (41)*(4.826^2 / 3.04)
N - 402.21 = 41×7.66
N - 402.21 = 314.112
N = 402.21 + 314.112
N = 716.332 newton
Approximately = 716N
Or alternatively, since there are two chains holding the swing, of which each chain is acted upon by a 358N tension. Hence = 2T
2*358 = 716N
Answer:
this density is in the range of Peridotite type rocks
Explanation:
In this graduated cylinder exercise we can directly read the volume of the rock
V = (35 - 30) cm³
V = 5 cm³
They also indicate the mass of the rock
m = 15.5 gr.
Density is defined as the ratio of mass to volume
ρ = 15.5 / 5
ρ= 3.1 gr /cm³
When checking the attached table this density is in the range of Peridotite type rocks
Answer:
the willing power of student is more important then the material. If a student is willing to make something and express his/her identity then there are more than enough substances he/she can make. For example:- a wooden box can turn into a cute playing car, piggybank or a pencil holder according to his her wish.
Answer:
according to my calculator
Explanation:
4x+5g=9t