Question

when a car is heated , say by taking it to a desert, it expands. Is the increase in length of the car greater than, less than, or equal to its increase in height?

Answer 1

ΔL =
`(L_(o) )/(h_(o) )` Δh

since the length of the carriages is greater than their height, the length expansion is greater than the height expansion

Step-by-step explanation:

This is an exercise in thermal expansion, which is described by the expression for one dimension

ΔL = α L₀ ΔT

For the analysis of this exercise we will assume that the sides are independent

Let's look for the condition of the length of the car

ΔL / L₀ = α ΔT

The height delay (h) is

Δh / h₀ = α ΔT

we can match the two expressions

ΔL / L₀ = Δh / h₀

ΔL =
`(L_(o) )/(h_(o) )` Δh

since the length of the carriages is greater than their height, the length expansion is greater than the height expansion