To solve this problem we will apply the concepts of energy conservation and Newton's second law that defines force as the product of the object's mass with its acceleration. Additionally we will apply concepts related to the kinematics equations of linear motion.
For conservation of energy we have that work is equal to kinetic energy therefore,


Here,
F = Force
d = Displacement
m = Mass
v= Velocity
At the same time we have the relation of

Therefore the value of the force can be interpreted as the rate of increase in energy per unit of distance, which makes it equivalent to

Applying Newton's Second Law



In 4 seconds final velocity of the object becomes



Then the work done is equal to,




Then the displacement is,




Therefore the distance moved is 16m
Answer:
392307.6923 m/s²
Explanation:
t = Time taken
u = Initial velocity = 560 m/s
v = Final velocity = 460 m/s
s = Displacement = 13 cm
a = Acceleration
From the equation of motion we have

The acceleration of the bullet as it passes through the board is -392307.6923 m/s²
Pretty sure physical, a chemical change would be something of the time of acid rain, meanwhile physical changes are the ones that affect the form not the actual chemical composition
Answer:
The original volume of the first bar is half of the original volume of the second bar.
Explanation:
The coefficient of cubic expansivity of substances is given by;
γ = ΔV ÷ (
Δθ)
Given: two metal bars with equal change in volume, equal change in temperature.
Let the volume of the first metal bar be represented by
, and that of the second by
.
Since they have equal change in volume,
Δ
= Δ
= ΔV
For the first metal bar,
2γ = ΔV ÷ (
Δθ)
⇒ Δθ = ΔV ÷ (2γ
)
For the second metal bar,
γ = ΔV ÷ (
Δθ)
⇒ Δθ = ΔV ÷ (
γ)
Since they have equal change in temperature,
Δθ of first bar = Δθ of the second bar
ΔV ÷ (2γ
) = ΔV ÷ (
γ)
So that;
(1 ÷ 2
) = (1 ÷
)
2
= 
= 
Thus, original volume of the first bar is half of the original volume of the second bar.