A line that joins dots plotted on a graph paper is called a line graph. It is used to show the variation of a quantity with respect to another. A line graph represents two pieces of information that are usually related.
Taking the perspective of a student learning astronomy or physics, graphs are useful because they can summarize a LOT of information into one picture. When scientists do research graphs are often the only way to represent data that has been collected.
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Answer:
12.5J
Explanation:
Given parameters:
Mass of bucket = 1.7kg
Height = 75cm = 0.75m
Unknown;
Work done on the bucket by the person = ?
Solution:
To solve this problem, we use the work done equation;
Work done = force x distance = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Now, insert parameters and solve ;
Work done = 1.7 x 9.8 x 0.75 = 12.5J
Answer:
The volume of water is 139 mL.
Explanation:
Due to the Law of conservation of energy, the heat lost by coffee is equal to the heat gained by the water, that is, the sum of heats is equal to zero.

The heat (Q) can be calculated using the following expression:

where,
c is the specific heat of each substance
m is the mass of each substance
ΔT is the difference in temperature for each substance
The mass of coffee is:

Then,

The volume of water is:

Answer:
The found value of r is:
r = 94.7
Explanation:
We know that
cosθ = Base / Hypotenuse
θ is the always the angle between base and hypotenuse
In this right angles triangle, the angle θ is given 63°.
Which means that the Base is 43 and the hypotenuse is r
Base = 43
Hypotenuse = r
Substitute θ=63°, Base = 43 and hypotenuse = r in the formula of cosθ mentioned above:
cos 63° = 43/r
Rearrange
r = 43/cos63°
r = 43/0.454
r= 94.7