EXAMKEY WAEC | NECO 2026 EXPO CHANNEL TM.
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9bii)
Slope = βˆ†F/βˆ†e
Point 1: (Extension = 10.0 cm, Force = 2.0 N)
Point 2: (Extension = 30.0 cm, Force = 6.0 N)
S = (6.0-2.0)/(30.0-10.0)
S = 4.0/20.0
S = 0.2N/cm

(9biii)
The slope represents the spring constant
k, indicating the stiffness of the spring.

(9c)
Given:
Mass (m) = 40 g = 0.04 kg
Elastic constant (k) = 350 N/m
Extension (x) = 4 cm = 0.04 m
Elastic potential energy stored in the rubber(E) = (1/2)kxΒ²
= (1/2) Γ— 35 Γ— (0.04)Β²
(1/2) Γ— 35 Γ— 0.0016
= 0.28 J

This energy is converted to kinetic energy of the stone:
K = (1/2)mvΒ² = E
(1/2)mvΒ² = 0.28 J
(1/2) Γ— 0.04 Γ— vΒ² = 0.28
vΒ² = (2 Γ— 0.28)/0.04
vΒ² = 14
v = √14
v = 3.74 m/s

(9d)
(i) Bulk modulus
Bulk modulus is a measure of a material's resistance to compression under uniform pressure.
(ii) Energy gained by the wire
Given:
Mass (m) = 2.5g = 0.0025kg
Extension (x) = 2cm = 0.02m
g = 10m/sΒ²
Force (F) = mg = 0.0025 Γ— 10 = 0.025N
Energy gained (E) = (1/2)Fx
= (1/2) Γ— 0.025 Γ— 0.02
= 2.5 Γ— 10⁻⁴ J

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