Answer:
The answer is D.
Explanation:
Look at these options. Do all of these require effort? Yes. If you were to push a shopping cart, do you have to apply force? if you were to lift a book, do you indeed move the book, does it exert force? While walking up stairs, do you have to move your legs uphill, is there force used? All of these require input, and force. Most things in life require work, unless we have a machine to do it for us.
Answer:
A) 12.6 m/s2
B) -0.961 m
C) 0.961 m
D) 0.31 m/s
Explanation:
We can derive the acceleration function in term of t by taking 1st derivative of v(t)
The position function in term of t would be the integration of v(t)
Since s = 0 when t = 0 we can conclude that by plugging in t = 0 and s = 0
Part A: a(t = 3.1) = 6 - 6*3.1 = -12.6 m/s2. So the particle's deceleration is 12.6 m/s2 when t = 3.1
Part B:
Part C: As s(0) = 0 and s(3.1) = -0.961. The particle has traveled a distance of |-0.961 - 0| = 0.961m
Part D: So the particle has traveled a distance of 0.961m within time of 3.1s. That means the average speed is overall distance divided by overall time
= 0.961 / 3.1 = 0.31m/s
Answer:
Spring's displacement, x = -0.04 meters.
Explanation:
Let the spring's displacement be x.
Given the following data;
Mass of each shrew, m = 2.0 g to kilograms = 2/1000 = 0.002 kg
Number of shrews, n = 49
Spring constant, k = 24 N/m
We know that acceleration due to gravity, g is equal to 9.8 m/s².
To find the spring's displacement;
At equilibrium position:
Fnet = Felastic + Fg = 0
But, Felastic = -kx
Total mass, Mt = nm
Fg = -Mt = -nmg
-kx -nmg = 0
Rearranging, we have;
kx = -nmg
Making x the subject of formula, we have;
Substituting into the formula, we have;
x = -0.04 m
Therefore, the spring's displacement is -0.04 meters.