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zvonat [6]
3 years ago
10

Determine explicitly which is faster, 75 miles per hour or 75 m/s? Express all your results in MKS units and explain your conclu

sions from the numbers, and explain using words. Show all work.
Physics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

75 m/s is faster

Explanation:

MKS units stands for meter kilogram seconds

75 miles per hour = 75 mph

1 mile = 1609.34 meters

1 hour = 60×60 = 3600 seconds

1 mph = 1609.34/3600 = 0.44704 m/s

75 mph = 75×0.44707 = 33.52792 m/s

Comparing 75 mph = 33.52792 m/s with 75 m/s it can be seen that 75 m/s is faster. Even without calculating the values you can know the answer. 75 mph means that in 1 hour the object will move 75 miles. 75 m/s means that in one second the object will cover 75 meters multiply by 3600 and you will get 270000 m/h that is 270 km/h divide it by 1.6 and you can approximately get the value in mph that will be around 168 mph which is faster than 75 mph.

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A 31 kg block is initially at rest on a horizontal surface. A horizontal force of 83 N is required to set the block in motion. A
Hatshy [7]

Answer:

The static and kinetic coefficients of friction are 0.273 and 0.181, respectively.

Explanation:

By Newton's Laws of Motion and definition of maximum friction force, we derive the following two formulas for the static and kinetic coefficients of friction:

\mu_{s} = \frac{f_{s}}{m\cdot g} (1)

\mu_{k} = \frac{f_{k}}{m\cdot g} (2)

Where:

\mu_{s} - Static coefficient of friction, no unit.

\mu_{k} - Kinetic coefficient of friction, no unit.

f_{s} - Static friction force, in newtons.

f_{k} - Kinetic friction force, in newtons.

m - Mass, in kilograms.

g - Gravitational constant, in meters per square second.

If we know that f_{s} = 83\,N, f_{k} = 55\,N, m = 31\,kg and g = 9.807\,\frac{m}{s^{2}}, then the coefficients of friction are, respectively:

\mu_{s} = \frac{83\,N}{(31\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}

\mu_{s} = 0.273

\mu_{k} = \frac{55\,N}{(31\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}

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The static and kinetic coefficients of friction are 0.273 and 0.181, respectively.

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Newton's second law:

The net force on an object is equal to its mass times its acceleration.

Newton's third law:

For every action, there is an opposite and equal reaction.

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