Scientific notation of (4.5+ 17) x 104 -1.5 x 104

4.5× 104 + 1.7× 105. Firstly, we need to ensure that both exponents have the same value. Thus, we need to change the value of 1.7 x 105 to 17 x 104. If both already had the same exponential value, you can neglect this step. 4.5× 104+ 17 × 104. Now, we will take exponentials common and add the decimal values. (4.5+ 17) × 104 | 21.5 × 104. Similar steps are taken for the subtraction phase we just need to retrace our steps and find differences rather than sums. These lessons and worksheets show you how to perform sums and differences with values that are in scientific notation.

Explanation:

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first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j