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aleksandr82 [10.1K]
3 years ago
10

You invested $1,400 in an account that pays 5 percent simple interest. how much more could you have earned over a 20-year period

if the interest had compounded annually?
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
1000000000000000p00000
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Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = 4 \sqrt{10} m/s

Step-by-step explanation:

<u>Given:</u>

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 ms^{-2}

a) Formula for Potential Energy:

E_p =mgh

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Putting the values of m, g and h

E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J

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v^{2}   =u^{2} +2gh

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u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

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here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 ms^{-2} (negative because the object's velocity is decreasing)

Putting the values to find 'u':

0^{2}   =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s

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