Answer:
4 m/s
Explanation:
From the law of conservation of momentum,
Total momentum before collision = Total momentum after collision
mu+m'u' = V(m+m')...................... Equation 1
Where m = mass of the arrow, u = initial velocity of the arrow, m' = mass of the apple, u' = initial velocity of the apple, V = Final velocity of the apple and the arrow after collision.
make V the subject of the equation
V = (mu+m'u')/(m+m').................... Equation 2
Given: m = 0.5 kg, m' = 2 kg, u = 20 m/s, u' = 0 m/s(initially at rest)
Substitute into equation 2
V = (0.5×20+2×0)/(2+0.5)
V = 10/2.5
V = 4 m/s.
Hence the final velocity of the apple and the arrow after the collision = 4 m/s
Answer:
No
Explanation:
The equation of state for ideal gases tells that:

where
p is the gas pressure
V is the gas volume
n is the number of moles of the gas
R is the gas constant
T is the absolute temperature
In this problem, we have a fixed mass of gas. This means that the number of moles of the gas,
, does not change; also, the volume V remains the same, and R is a constant, this means that

So, as the pressure increases, the temperature increases.
However, here we want to understand what happens to the average distance between the molecules.
We have said previously that the number of moles n does not change: and therefore, the total number of molecules in has does not change either.
If we consider one dimension only, we can say that the average distance between the molecules is

where L is the length of the container and N the number of molecules. Since the volume of the container here does not change, L does not change, and since N is constant, this means that the average distance between the molecules remains the same.
Answer:
4.617 s
Explanation:
The speed of 60 mi/h can be converted to m/s:
(60 mi/h) × (1609.344 m/mi) × (1 h)/(3600 s) = 26.8244 m/s
The relationship between speed and acceleration is ...
v = at
t = v/a = (26.8244 m/s)/(5.81 m/s²) ≈ 4.617 s
It will take the car 4.617 seconds to reach 60 mi/h starting from rest.
Oooooo, that statement is not true. Countries create quotas and tariffs to <em>LIMIT</em> the volume of trade with other countries, including their neighbors.