Answer:
The cyclist's average speed is 13.43 
Explanation:
Speed is a quantity that expresses the relationship between the space traveled by an object and the time used for it. That is, speed is the magnitude that expresses the variation in position of an object and as a function of time, which would be the same as saying that it is the distance traveled by an object in the unit of time.
Average speed relates the change in position to the time taken to effect that change:
In this case:
- total distance traveled= 32 km + 15 km= 47 km
- total time= 3 hours that the cyclist travels + 30 minutes of rest = 3 hours + 0.5 hours (being 60 minutes equal to 1 hour, then 30 minutes equals 0.5 hours) = 3.5 hours
Replacing:
and solving, you get:
speed= 13.43
<u><em>The cyclist's average speed is 13.43 </em></u><u><em></em></u>
The best predictor of the radioactive nature of an isotope is the neutron-to-proton ratio of the atom. Isotopes are atoms of elements having the same number of protons however they don't have the same number of neutrons. Each isotope of an element will have different values of mass number.
The volume of the sample is 48.39 cm³.
<h3 /><h3>What is volume?</h3>
The term volume refers to the amount of three-dimensional space taken up by an item or a closed surface
To calculate the volume of the sample, we use the formula below
Formula:
- D = m/v
- v = m/D................ Equation 1
Where:
- m = Mass of the smaple
- D = Density of the sample
- v = Volume of the sample.
From the question,
Given:
Substitute these values into equation 1
Hence, the volume of the sample is 48.39 cm³.
Learn more about volume here:brainly.com/question/27710307
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Answer:
787528.7 J
Explanation:
Work done: This can be defined as the product of force and distance along the direction of force. The S.I unit of work is Joules (J).
From the question,
W = Tcos∅(d)............. Equation 1
Where W = work done, T = tension in the rope, ∅ = the angle of the rope to the horizontal, d = distance.
But,
d = v(t)..................... equation 2
Where v = velocity, t = time
Substitute equation 2 into equation 1
W = Tcos∅(vt)............. Equation 3
Given: T = 210 N, ∅ = 23°, v = 7 km/h = 1.94 m/s, t = 35 min = 2100 s
Substitute into equation 3
W = 210(cos23°)(1.94×2100)
W = 787528.7 J
