Anny is having problems (pain) with her back as she

Berikut ini adalah pertanyaan dari awdwadwddddf pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Anny is having problems (pain) with her back as she felt during PE period. She uses backpack to carry her books to school. Today she brings 5 kg books and the dimension of her backpack is 20 cm x 50 cm. How big is the pressure given to her back as he carry her backpack?

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Penjelasan dengan langkah-langkah:

The pressure on Anny's back can be calculated using the formula:

pressure = force / area

where force is the weight of the backpack and area is the surface area of the part of the backpack in contact with her back.

First, we need to convert the weight of the books from kg to N (Newtons), as pressure is measured in N/m²:

weight = mass x gravity

where mass is the weight of the books in kg and gravity is the acceleration due to gravity, which is approximately 9.8 m/s².

weight = 5 kg x 9.8 m/s²

weight = 49 N

Now we need to calculate the surface area of the part of the backpack in contact with Anny's back. Assuming that the backpack is a rectangular prism, the surface area in contact with her back can be calculated as:

area = length x width

where length is the height of the backpack and width is the width of the backpack.

We don't have information about the height of the backpack, so we cannot calculate the exact pressure on Anny's back. However, we can make an estimate based on the assumption that the backpack is about the same size as a typical school backpack, which is usually around 40 cm x 30 cm x 20 cm.

If we assume that the height of the backpack is around 40 cm, then the surface area in contact with Anny's back would be:

area = 40 cm x 50 cm

area = 2000 cm²

Converting the area to m²:

area = 0.2 m x 0.5 m

area = 0.1 m²

Now we can calculate the pressure:

pressure = force / area

pressure = 49 N / 0.1 m²

pressure = 490 N/m²

Jawab:

So the pressure on Anny's back from carrying the backpack is approximately 490 N/m².

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Last Update: Sun, 18 Jun 23