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Question Calculate the mass mm given the formula m=(10e)(9.5×105)9.8m=\frac{(10 e)(9.5 \times 10^{5})}{9.8}, where ee is the acceleration due to gravity.

Studdy Solution

STEP 1

Assumptions1. The given equation is m=(10e)(9.5×105)9.8m=\frac{(10 e)\left(9.5 \times10^{5}\right)}{9.8}

STEP 2

The equation is already in a form that allows us to directly calculate mm. We just need to plug in the values and perform the operations.

STEP 3

First, we calculate the product of 10e10e and 9.5×1059.5 \times10^{5}.
Product=10e×9.5×105Product =10e \times9.5 \times10^{5}

STEP 4

We know that ee is the base of the natural logarithm and is approximately equal to 2.718282.71828. So, we substitute ee with 2.718282.71828.
Product=10×2.71828×9.×10Product =10 \times2.71828 \times9. \times10^{}

STEP 5

Calculate the product.
Product=10×2.71828×9.5×105=257636.Product =10 \times2.71828 \times9.5 \times10^{5} =257636.

STEP 6

Now, we divide the product by 9.89.8 to find mm.
m=Product9.8m = \frac{Product}{9.8}

STEP 7

Substitute the value of the product into the equation.
m=257636.69.m = \frac{257636.6}{9.}

STEP 8

Calculate the value of mm.
m=257636.6.8=26289.65306m = \frac{257636.6}{.8} =26289.65306So, m≈26289.65306m \approx26289.65306.

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