We are asked to solve for the acceleration with the given graph in the problem. Let us recall that the formula for acceleration is shown below:
acceleration (a) = (Vf - Vi) / t
in this problem, we need to pick velocity final and initial such as:
Vf = 10 m/s
Vi = 8 m/s
Check the corresponding time, in this case, the time is (40seconds - 30seconds) equivalent to 10 seconds
Solving for the acceleration, we have it:
a = (10 - 8) / 10
a = 2/10
a = 0.2 m/s²
The answer is 0.2 m/s².
From the given information, it's not possible to find the mass or the volume of the sample.
Density is their RATIO, but you can't tell if the sample is the size of an ant or a school-bus.
The water will evaporate <span />
Answer:
A general solution is 
and a particualr case is mgh, it is just to distance around the radius Earth.
Explanation:
We can use a general equation of the potential energy to understand the particular and general case:
The potential energy is defined as 
, we know that the gravitational force is 
, so we could find the potential energy taking the integral of F.
(1)
We can find the particular case, just finding the gravitational potential energy difference:
. Here Uf is the potential evaluated in r+Δh and Ui is the potential evaluated in r.
Using (1) we can calculate ΔU.
Simplifying and combining terms we have a simplified expression.
(2)
Let's call 
. It is the acceleration due to gravity on the Earth's surface, if r is the radius of Earth and M is the mass of the Earth and we can write (2) as ΔU=mgh, but if we have distance grader than r we should use (2), otherwise, we could get incorrect values of potential energy.
I hope i hleps you!
Answer: 0.169 (3 s.f.)
Explanation:
Force = 76 N
Spring constant = 450 N/m
Extension/displacement = x
Hooke's law states that: F = kx
Therefore, 76 = 450 X x
76/450 = x
0.169 (3 s.f.) = x
