The mathematical relationship between force and extension for a spring is F = -kx , where F is the restoring force, k is the spring constant and x is the extension. If a box that weighs 40 N is hung from a spring of content 400 N/m, then the extension is equal to x = -F / k = -400 / 40 = -10 cm. The negative sign simply shows the extension and restoring force are in opposite directions. The answer is 10 cm.
By elasticity, the most nearly load is D. 12370 N .
We need to know about elasticity to solve this problem. In elasticity, stress can be determined as
σ = e . δ
where σ is stress, e is elastic modulus and δ is the strain
From the question above, we know that:
e = 70 GPa = 70 x 10⁹ Pa
d = 15 mm = 0.015 m
δ = 0.001 mm/mm
Find the stress
σ = e . δ
σ = 70 x 10⁹ . 0.001
σ = 7 x 10⁷ Pa
Find the surface area of the aluminum rod
A = πR²
A = π(0.015/2)²
A = 1.77 x 10¯⁴ m²
Find the load
F / A = σ
F = σ x A
F = 7 x 10⁷ x 1.77 x 10¯⁴
F = 12375 N
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Question 4
B. Toby is correct because the rock is experiencing a negative acceleration, causing its positive velocity to decrease until the rock reaches a velocity of O m/s before becoming negative.
Question 5
At the maximum height, velocity is 0, so:
v = v₀ - gt
0 = 14.75 - 9.8t
t = 14.75/9.8
t = 1.5 s (OPTION A)
Answer:When prfessionals take data collections its important becasue it can cause error. Lets say they are sloppy with thier work and end up getting something that is not near what should be happening. This can have a major affect on the truth of what they are doing and an effect on thier end result in general.
Explanation:
Momentum = Mass * Velocity
Total mass = 85 + 4.5 = 89.5 kg
Velocity = 2.1 m/s
Total momentum = Total Mass * Velocity
= 89.5 kg * 2.1 m/s
= 187.95 kgm/s or 187.95 Ns