Answer:
Extension, e = 0.0000359 meters
Explanation:
Given the following data;
Mass = 0.26 g
Spring constant = 7.1 N/m
To find the extension of the thread;
Conversion:
1000 grams = 1 kg
0.26 grams = 0.26/1000 = 0.00026 kg
First of all, we would determine the force acting on the spider;
Force = mass * acceleration due to gravity
Force = 0.00026 * 9.8
Force = 0.00255 N
Next, we would determine the extension;
Force = spring constant * extension
Substituting into the equation, we have
0.00255 = 7.1 * extension
Extension, e = 0.00255/7.1
Extension, e = 0.0000359 meters
Answer:
2:Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth 1:116d 18h 0m 3: The atmosphere of Venus is made up almost completely of carbon dioxide. It also includes small doses of nitrogen and clouds of sulfuric acid. ... This composition causes a runaway greenhouse effect that heats the planet even hotter than the surface of Mercury, although Venus lies farther from the sun.
Explanation:
Yes. That equation is exactly how we write Newton's second law nowadays. Note that the 'x' just means 'times'. It's not another variable. The equation could be written as simply. F = m a .
First convert from mi/h to ft/s. There are 5280 ft to 1 mi, and 3600 s to 1 h, so
36 mi/h = (36 mi/h) * (5280 ft/mi) * (1/3600 h/s) = 52.8 ft/s
Let <em>a</em> be the acceleration of the car. The car's speed at time <em>t</em> is
<em>v</em> = 52.8 ft/s + <em>a</em> <em>t</em>
so that after 5.4 s, it attains a speed of
<em>v</em> = 52.8 ft/s + (5.4 s) <em>a</em>
Recall that
<em>v</em>² - <em>u</em>² = 2 <em>a</em> ∆<em>x</em>
where <em>u</em> is the car's initial velocity and ∆<em>x</em> is the distance it's traveled.
We have
(52.8 ft/s + (5.4 s) <em>a</em>)² - (52.8 ft/s)² = 2 <em>a</em> (595 ft)
Omitting units, this equation reduces to
(52.8 + 5.4 <em>a</em>)² - 52.8² = 1190 <em>a</em>
==> 29.16 <em>a</em>² - 619.76 <em>a</em> = 0
==> 29.16 <em>a</em> - 619.76 = 0
==> 29.16 <em>a</em> = 619.76
==> <em>a</em> ≈ 21.25 ft/s²
