Explanation:
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Answer:
a
0.57g
b
20.52
c
28.5
Explanation:
a
The bottle weighs 80g with tablets
If the bottle alone weighs 23g, the tablets weigh 57g
100 tablets weigh 57g, 1 tablet weighs 0.57g
b
0.57g is one tablet, so to achieve 36 tablets we must multiply by 36
0.57 multiplied by 36 is 20.52
c
To find 50 tablets we can use the same method we used before or a slightly faster method
100 tablets is 57g, so all we have to do is halve to find 50
57 divided by 2 is 28.5
Answer:
Energy converted = 
Explanation:
Recall that Power is the rate at which energy is transferred therefore defined by the mathematical formula: 
Since the information on the power of the runner is given, as well as the time the energy conversion takes place, we can then use this equation to find how much energy is been converted. Notice that we just need to change the given time *10 minutes) into the appropriate units (seconds)to get the answer in SI units of energy (Joules). The conversion of 10 minutes into seconds is done by multiplying : 10 minutes * 60 seconds/minute = 600 seconds.
We use this then to find the energy converted by the runner:

Answer:
374 N
Explanation:
N = normal force acting on the skier
m = mass of the skier = 82.5
From the force diagram, force equation perpendicular to the slope is given as
N = mg Cos18.7
μ = Coefficient of friction = 0.150
frictional force is given as
f = μN
f = μmg Cos18.7
F = force applied by the rope
Force equation parallel to the slope is given as
F - f - mg Sin18.7 = 0
F - μmg Cos18.7 - mg Sin18.7 = 0
F = μmg Cos18.7 + mg Sin18.7
F = (0.150 x 82.5 x 9.8) Cos18.7 + (82.5 x 9.8) Sin18.7
F = 374 N