Newton's second law tells you:
Sum of forces on an object = ma
Here, the forces acting on the bundle are the tension in the string and the force of gravity, these two must combine to yield the acceleration of the bundle.
So we have:
T-mg = ma
or T=m(g+a)
We know m=8.7kg, we need to find a from the information
starting from rest, an accelerating object covers distance according to:
<span>dist = 1/2 at^2 </span>
to cover 1m in 1.8s, we have:
a=2d/t^2 = 2x1/1.8^2 = 0.62 m/s/s
Thus, the tension in the string is:
<span>T = m(g+a)
= 8.7</span>kg(9.8m/s/s+0.62m/s/s)
<span>
<span>T = 90.654 N
</span>
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Answer:
x₂ / x₁ = √2
Explanation:
To solve this exercise we can use the projectile launch ratios, let's find the time it takes for the second book to reach the ground
y = y₀ + t - ½ g t²
as the book is thrown horizontally v_{oy} = 0, when it reaches the ground its height is zero y= 0
0 = y₀ - ½ g t²
t =
t = \sqrt{ \frac{2 \ 2h}{ g} }
with this time we calculate the horizontal distance traveled
x = v₀ t
x₂ = v₀
now let's calculate the time it takes him to get to the floor when he leaves from the first floor
t =\sqrt{ \frac{2y_o}{ g} }
the horizontal distance traveled is
x₁ = v₀
therefore the difference in distance between the two runs is
Δx = x₂-x₁
Δx = v₀ \sqrt{ \frac{4h}{g} } - v₀ \sqrt{ \frac{2h}{g} }
Δx = v₀ \sqrt{ \frac{2h}{g} } √2
Δx =√2 x₁
the relationship between the two distances is
x₂ / x₁ = √2
<h3>160 W</h3>
If the temperature is doubled to 2t, the rate at which it will now radiate is 160 W.
<h3>What is meant by emissivity?</h3>
- The ability of a substance to reflect heat radiation from its surface is measured by its emissivity.
- Thermal radiation is a type of electromagnetic radiation that includes infrared radiation, which the human eye cannot perceive, as well as visible radiation (light).
- According to the Stefan-Boltzmann law, emissivity is the quantitative comparison between the thermal radiation of a surface and that of an ideal black surface at a given temperature.
- Between 0 and 1 is the ratio's range.
<h3>What is energy radiation?</h3>
- The emissivity of a substance is a measurement of how well it reflects heat radiation from its surface.
- Two elements that affect power dissipation in the form of radiation are the material's surface emissivity and the temperature difference between the chip surface and the surrounding air.
To learn more about emissivity visit:
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Answer: demesne lands
Explanation:
" (demesne lands) which were for the personal use of the lord of the manor."