Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Answer: The answer is Yes.

Step-by-step explanation: Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.

From second law of motion, we have

Weight = mass × acceleration due to gravity.

That is, W = m × 9.8 m/sec².

The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.

Thus, if Michael' mass is 8 kg, then his weight will be

W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.

Thus, his estimation is perfectly OK.

You might be interested in

An elementary school

cupoosta [38]

Answer:

48 x 2 if its to and from use caculator and do " 48 x 2"

Step-by-step explanation:

sorry if im wrong

3 0

2 years ago

Read 2 more answers

According to a survey, the population of a city doubled in 12 years.

Ket [755]

Answer:

5.78 and 18 respectively

8 0

3 years ago

Read 2 more answers

Cathy has 16 meters of fencing to make a rectangular pen for some rabbits what dimensions will give the maximum area?

Travka [436]

The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
16=4L
4=L

the dimentions are length and width are 4 meters
aera will be 16 square meters

6 0

2 years ago

For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =

enyata [817]

Given that <span>For a certain model of car the distance $d$ required to stop the vehicle if it is traveling at $v$ mi/h is given by the formula $d=v+\frac{v^2}{20}, where [tex]d$ is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

$v+ \frac{v^2}{20} \leq75 \\ \\ 20v+v^2\leq1,500 \\ \\ v^2+20v+100\leq1,500+100 \\ \\ (v+10)^2\leq1,600 \\ \\ |v+10|\leq\sqrt{1,600} \\ \\ -40\leq v+10\leq40 \\ \\ -40-10\leqv\leq v\leq40-10 \\ \\ -50\leq v\leq30$

Therefore, the range of speed she can travel is $v\leq30\ mi/hr$
</span>

8 0

2 years ago

What is the amplitude of the sinusoidal function?

saul85 [17]

Answer:

amplitude = 4

Step-by-step explanation:

the amplitude is the maximum subtract the minimum divided by 2

maximum = 1 and minimum = - 7

amplitude = $\frac{1-(-7)}{2}$ = $\frac{8}{2}$ = 4