Answer:
potential energy = mgh
= 400÷1000 × 10× 4÷100
= 0.4 × 10 × 0.04
=4/10 ×10×4/100
= 4/10 × 4/10
=16/100
= 0.16 joules
m1 (400) stretches 4cm
m1 (100g) stretches 1cm
so, m2(800g) stretches 8 cm
potential energy of m2 = mgh
= 800/1000 ×10×8/100
= 0.8 × 0.8
=8/10 ×8/10
= 64/100
=0.64 joules
Ratio of s1 to s2
16/100 ÷ 64/100
= 1:4 ( answer)
Answer:
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Rotational kinetic energy = Iω²/2 = 10
I = rotational inertia(moment of inertia)
ω= angular speed = 10 s⁻¹
∴ 10 = I(10²)/2
∴ I = 20/10² = 0.2 kg-m²
The speed is
v = 5t² + 4t
where
v is in m/s, and t in s.
The acceleration is the derivative of the velocity. It is
a = 10t + 4
When t = 2 s, the acceleration is
a(2) = 10*2 +4 = 24 m/s²
Answer: 24 m/s²
