Answer:
Option B is the correct answer.
Explanation:
Thermal expansion
![\Delta L=L\alpha \Delta T](https://tex.z-dn.net/?f=%5CDelta%20L%3DL%5Calpha%20%5CDelta%20T)
L = 1.2 meter
ΔT = 65 - 15 = 50°C
Thermal Expansion Coefficient for aluminum, α = 24 x 10⁻⁶/°C
We have change in length
![\Delta L=L\alpha \Delta T=1.2\times 24\times 10^{-6}\times 50=1.44\times 10^{-3}m](https://tex.z-dn.net/?f=%5CDelta%20L%3DL%5Calpha%20%5CDelta%20T%3D1.2%5Ctimes%2024%5Ctimes%2010%5E%7B-6%7D%5Ctimes%2050%3D1.44%5Ctimes%2010%5E%7B-3%7Dm)
New length = 1.2 + 1.44 x 10⁻³ = 1.2014 m
Option B is the correct answer.
Answer:
Mass of the sled in the snow 83.33 kg.
<u>Explanation</u>:
Given that,
Force applied to move the sled in the snow (F) = 75N
![\text { Acceleration }(a)=0.9 \mathrm{m} / \mathrm{s}^{2}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Acceleration%20%7D%28a%29%3D0.9%20%5Cmathrm%7Bm%7D%20%2F%20%5Cmathrm%7Bs%7D%5E%7B2%7D)
We know that
Newton's second law of motion is
![\text { Force }=\text { mass } \times \text { acceleration }](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Force%20%7D%3D%5Ctext%20%7B%20mass%20%7D%20%5Ctimes%20%5Ctext%20%7B%20acceleration%20%7D)
F = ma (Or "force" is equal to "mass" times "acceleration".)
So if we move this around we can isolate mass and get mass
![\text { Mass }=\frac{\text { force }}{\text { accelearation }}](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Mass%20%7D%3D%5Cfrac%7B%5Ctext%20%7B%20force%20%7D%7D%7B%5Ctext%20%7B%20accelearation%20%7D%7D)
![\mathrm{M}=\frac{75}{0.9}](https://tex.z-dn.net/?f=%5Cmathrm%7BM%7D%3D%5Cfrac%7B75%7D%7B0.9%7D)
M = 83.33 kg
Mass of the sled in the snow <u>83.33 kg.</u>
Answer:
Part a)
![v_f = v_x = 32.77 m/s](https://tex.z-dn.net/?f=v_f%20%3D%20v_x%20%3D%2032.77%20m%2Fs)
Part b)
T = 4.68 s
Explanation:
Part a)
Shell is fired at speed of 40 m/s at angle of 35 degree
so here we have
![v_x = 40 cos35 = 32.77 m/s](https://tex.z-dn.net/?f=v_x%20%3D%2040%20cos35%20%3D%2032.77%20m%2Fs)
![v_y = 40 sin35 = 22.94 m/s](https://tex.z-dn.net/?f=v_y%20%3D%2040%20sin35%20%3D%2022.94%20m%2Fs)
since gravity act opposite to vertical speed of the shell so at the highest point of its trajectory the vertical component of the speed will become zero
so at the highest point the speed is given
![v_f = 32.77 m/s](https://tex.z-dn.net/?f=v_f%20%3D%2032.77%20m%2Fs)
Part b)
After completing the motion we know that the displacement of the object will be zero in Y direction
so we have
![\Delta y = 0](https://tex.z-dn.net/?f=%5CDelta%20y%20%3D%200)
![0 = v_y t - \frac{1}{2}gt^2](https://tex.z-dn.net/?f=0%20%3D%20v_y%20t%20-%20%5Cfrac%7B1%7D%7B2%7Dgt%5E2)
![T = \frac{2v_y}{g}](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B2v_y%7D%7Bg%7D%20)
![T = \frac{2(22.94)}{9.81} = 4.68 s](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B2%2822.94%29%7D%7B9.81%7D%20%3D%204.68%20s)
Plastic is what they are made of
Answer:
Perfectly inelastic collision
Explanation:
There are two types of collision.
1. Elastic collision : When the momentum of the system and the kinetic energy of the system is conserved, the collision is said to be elastic. For example, the collision of two atoms or molecules are considered to be elastic collision.
2. Inelastic collision: When the momentum the system is conserved but the kinetic energy is not conserved, the collision is said to be inelastic. For example, collision of a ball with the mud.
For a perfectly elastic collision, the two bodies stick together after collision.
Here, the meteorite collide with the Mars and buried inside it, the collision is said to be perfectly inelastic. here the kinetic energy of a body lost completely during the collision.