What is the spring constant for a supermarket scale that stretches 0.01 m when a force of 4 N is applied
2 answers:
Answer: The spring constant for the supermarket scale is 400 N/m.
Explanation:
To calculate the spring constant, we use Hooke's Law. The formula for Hooke's law is:
where, F = Force applied on the spring = 4N
k = Spring constant = ? N/m
x = Compression or extension of the spring = 0.01m
Putting values in above equation, we get:
Hence, the spring constant for the supermarket scale is 400 N/m.
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Answer:
α = 2,857 10⁻⁵ ºC⁻¹
Explanation:
The thermal expansion of materials is described by the expression
ΔL = α Lo ΔT
α =
in the case of the bar the expansion is
ΔL = L_f - L₀
ΔL= 1.002 -1
ΔL = 0.002 m
the temperature variation is
ΔT = 100 - 30
ΔT = 70º C
we calculate
α = 0.002 / 1 70
α = 2,857 10⁻⁵ ºC⁻¹
Answer:
The value is
Explanation:
From the question we are told that
The initial speed of the roller coaster is
The length of the hill is
The acceleration of the roller coaster is
Generally the acceleration is mathematically represented as
Here is the initial time which is equal to zero
is the final velocity which is mathematically represented as
So
Solving this using quadratic formula we obtain
Generally time cannot be negative so
Generally the final velocity is mathematically represented as