Answer:
10mm
Explanation:
According to Hooke's law which states that "the extension of an elastic material is directly proportional to the applied force provided the elastic limit is not exceeded. Direct proportionality there means, increase/decrease in the force leads to increase/decrease in extension.
Mathematically, F = ke where;
F is the applied force
k is the elastic constant
e is the extension
from the formula k = F/e
k = F1/e1 = F2/e2
Given force of 1N indents the spring inwards by 2mm, this means force of 1N generates extension of 2mm
Let F1 = 1N e1 = 2mm
The extension that will be produced If force of 5N is applied to the string is what we are looking for. Therefore F2 = 5N; e2= ?
Substituting this values in the formula above we have
1/2=5/e2
Cross multiplying;
e2 = 10mm
This shows that we must have dent it by 10mm before it pushes outwards by a 5N force
Answer:
B. Axial stress divided by axial strain
Explanation:
Elasticity:
It is the tendency of an object to deform along the axis when an opposing force is applied without facing permanent change in shape.
Plasticity:
When an object crosses the elasticity limit, it enters plasticity where the change due to stress is permanent and the object might even break.
Yield strength:
Yield strength is the point of maximum bearable stress that indicates the limit of elasticity.
Our case:
As the stress applied is less than the yield strength, the rod is still in the elasticity state and its modulus can be calculated.
Modulus of Elasticity = Stress along axis/Ratio of change in length to original length
Axial strain is basically the ratio of change in length to original length.
So, Modulus of Elasticity = Axial Stress/ Axial Strain
The mass of the water with the sugar dissolved in it is 55 grams. This is because when you add the weight of the water, and the sugar that you added, it is 55.
To solve the problem, you should first convert the 20ft to
meters so it is much easier.
20 feet is equals to 6 meters; rounded off to the nearest
whole number.
Solution:
V1 = v
V2 = 0
T1 = ½ mv^2
T2 – 0
U 1-2 = -mgh
d = 6m
--AB^2 = (10m)^2 = d^2 + y^2 = (6m)^2 = y^2
Y^2 = 100 – 36 = 64
Y = sqrt64
h = 10 – y = 10 – sqrt64 = 10 – 8 = 2 m
U 1- 2 = -m (9.81) (2) = -19.62
T1 + U1-2 = T2
1/2mv^2 – 19.62m = 0
v^2 = (2) (19.62) = 39.24
Answer:
(a) True
Explanation:
A supernova is a powerful light explosion that occurs in massive stars.
During a supernova, the star releases very large amounts of energy as well as neutrons, which allows elements heavier than iron, such as silver, uranium and lead, to be produced.
Therefore, the correct option is "a" True
Elements more massive than iron (e.g. silver, uranium and lead) are created from supernova events.