f. The student is conducting a nutrition experiment using lab rats. One group (control group) is fed a normal diet, while the other group (experimental group) is fed a diet high in protein. There were 30 rats total used in the experiment. At the end of the experiment, the average mass (weight) of a rat in the control group was 60.4 g while the average mass (weight) of a rat in the experimental group was 0.0689 kg. What is the average difference in weight between the two groups in grams

Respuesta :

Answer: 4.25g

Step-by-step explanation:

If a student is conducting a nutrition experiment using lab rats and one group (control group) is fed a normal diet, while the other group (experimental group) is fed a diet high in protein, and at the end of the experiment, the average mass of a rat in the control group was 60.4g while the average mass of a rat in the experimental group was 0.0689 kg (68.9g), the average difference in weight between the two groups in grams would be as follows:

68.9 minus 60.4 = 8.5

8.5; divided by 2 = 4.25g

Question says find the average difference in weight between two groups in grams but first we should know that unit of weight cannot be the gram because it is the unit of force while gram is the unit of mass of a body.

Here due to confusion between, I am going to explain basic difference between mass and weight. Also, I find both average difference in weight as well as mass.

Answer:

Average difference in Weight=41.65units

Average difference in Mass=4.25g

Step-by-step explanation:

Mass:

  • Quantity of matter contained in a body is called mass.
  • it's unit is kilogram/gram

Weight:

  • Force exerted on a body due to gravity.
  • it's unit newton/lbf (pound force)

Given:

The average mass of a rate in control group is =m1= 60.4g

The average mass of a rat in experimental group is =m2= 0.0689kg

Required:

A) Average difference in mass=?

B) Average difference in weight=?

Solution:

To find the difference first we need to make the units same as grams.

m1=60.4g

m2=0.0689kg=0.0689*1000=68.9g (1kg=1000g)

A) Average difference in mass=?

Average difference in mass= the difference in average masses of two groups.

Average difference in mass= [tex]\frac{m_{1} -m_{2}}{2}[/tex]=[tex]\frac{68.9-60.4}{2}=4.25g[/tex]

B) Average difference in weight=?

As we know

weight=w=mg (g=gravitational force=9.8)

w1=m1g=60.4*9.8=591.92

w2=m2g=68.9*9.8=675.22

Thus, Average difference in weight of two groups=[tex]\frac{w2-w1}{2}=\frac{675.22-591.92}{2}=41.65units[/tex]

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