A 50-kg load is suspended from a steel wire of diameter 1.0 mm and length 11.2 m. By what distance will the wire stretch? Young'
1 answer:
Answer:
3.5 cm
Explanation:
mass, m = 50 kg
diameter = 1 mm
radius, r = half of diameter = 0.5 mm = 0.5 x 10^-3 m
L = 11.2 m
Y = 2 x 10^11 Pa
Area of crossection of wire = π r² = 3.14 x 0.5 x 10^-3 x 0.5 x 10^-3
= 7.85 x 10^-7 m^2
Let the wire is stretch by ΔL.
The formula for Young's modulus is given by
ΔL = 0.035 m = 3.5 cm
Thus, the length of the wire stretch by 3.5 cm.
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0.000025 → 2.5 × 10⁻⁵ → 2.5E-5
<h3>Further explanation</h3>Scientific notation represents the precise way scientists handle exceptionally abundant digits or extremely inadequate numbers in the product of a decimal form of number and powers of ten. Put differently, such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent or power. It is a system for expressing extremely broad or exceedingly narrow digits compactly.
Scientific notation should be in the form of
where
The number 'a' is called 'mantissa' and 'n' the order of magnitude.
From the key question that is being asked, we face the standard form of 0.000025.
The coefficient (or mantissa), i.e. 25, is still outside of 1 ≤ a < 10. Both the numerator and denominator are divided by 10.
The denominator consists precisely of five zero digits.
Hence, 0,000025 is written in scientific notation as
The inverse of scientific notation is the standard form. To promptly change scientific notation into standard form, we reverse the process, move the decimal point to the right or left. This expanded form is called the standard form.
<u>A notable example:</u>
- 0.00069 written in scientific notation brainly.com/question/7263463
- Express the pill’s mass in 0.0005 grams using scientific notation or in milligrams brainly.com/question/493592
- What 3 digits are in the units period of 4,083,817 brainly.com/question/558692
Keywords: which is, a correct representation, 0.000025, in scientific notation, expanded form, exponent, base, standard form, mantissa, the order of magnitude, power, decimal, very large, small, figures, abundant digits, inadequate
Answer:
P =105.44 W
Explanation:
Given that
D= 10 cm ,L= 60 cm
d= 0.1 cm ,B= 6.4 mT
ρ= 1.7 x 10⁻⁸ Ω · m
The number of turns N
N= L/d
N= 60/0.1 = 600 turns
Length of wire
Lc= πDN
Lc= 3.14 x 0.1 x 600
Lc=188.4 m
The magnetic filed given as
Now by putting the values
I=5.09 A
The resistance R given as
R=4.07 Ω
Power P
p =I²R
P= 5.09² x 4.07 W
P =105.44 W