Answer:
x₁ = 15 m, x₂ = 12 m
, x_total = 27m, v₁ = 5 m / s
, v₂ = - 3 m / s
Explanation:
In this exercise we will use the kinematics of uniform motion
v = d / t
let's apply this equation for the first move
v₁ = Δx / t = (x₂-x₀) / t
v₁ = (12- (-3)) / 3
v₁ = 5 m / s
the distance traveled is x₁ = 15 m
Now let's analyze the return movement
v₂ = Δx / dt
v₂ = (0 - 12) / 4
v₂ = - 3 m / s
The negative sign indicates that the vehicle is moving to the left
the distance traveled is x₂ = 12 m
The total dystonia is
x_total = x₁ + x₂
x_total = 15 +12
x_total = 27m
In the attached we have the graphics of the movement
2.0? i’m not completely sure
Answer:
water contracts as it freezes at 0°C
Answer:
0.25223 seconds.
Explanation:
= Mass of bullet = 0.0146 kg
= Mass of block = 2.55 kg
v = Combined velocity
= Velocity of bullet = 816 m/s
g = Acceleration due to gravity = 9.81 m/s²
As linear momentum is conserved
![m_1u_1 + m_2u_2 =(m_1 + m_2)v](https://tex.z-dn.net/?f=m_1u_1%20%2B%20m_2u_2%20%3D%28m_1%20%2B%20m_2%29v)
Now
as the block (with the bullet in it) reverses direction and rises,
![m_1u_1 + m_2v =(m_1 + m_2)v\\\Rightarrow m_1u_1=(m_1 + m_2)v-m_2v\\\Rightarrow 0.0146\times 816=(0.0146 + 2.55)v-(-2.55v)\\\Rightarrow 11.9136=2.2646v+2.55v\\\Rightarrow 11.9136=4.8146v\\\Rightarrow v=\frac{11.9136}{4.8146}\\\Rightarrow v=2.47447\ m/s](https://tex.z-dn.net/?f=m_1u_1%20%2B%20m_2v%20%3D%28m_1%20%2B%20m_2%29v%5C%5C%5CRightarrow%20m_1u_1%3D%28m_1%20%2B%20m_2%29v-m_2v%5C%5C%5CRightarrow%200.0146%5Ctimes%20816%3D%280.0146%20%2B%202.55%29v-%28-2.55v%29%5C%5C%5CRightarrow%2011.9136%3D2.2646v%2B2.55v%5C%5C%5CRightarrow%2011.9136%3D4.8146v%5C%5C%5CRightarrow%20v%3D%5Cfrac%7B11.9136%7D%7B4.8146%7D%5C%5C%5CRightarrow%20v%3D2.47447%5C%20m%2Fs)
Equation of motion
![v=u+at\\\Rightarrow t=\frac{v-u}{a}\\\Rightarrow t=\frac{2.47447-0}{9.81}\\\Rightarrow t=0.25223\ s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%20t%3D%5Cfrac%7Bv-u%7D%7Ba%7D%5C%5C%5CRightarrow%20t%3D%5Cfrac%7B2.47447-0%7D%7B9.81%7D%5C%5C%5CRightarrow%20t%3D0.25223%5C%20s)
The time t is 0.25223 seconds.