Hi! I need a bit of help with 10 Physics problems. I have about 70, but these are the ones I either didn't get or needed help with. Thank you so much!!
What is the decimal equivalent of 3.14 × 10 7?
What is the decimal equivalent of 2.8 e-4? (In the JavaScript web language, scientific notation normally written as 2 × 103 is written as 2e3.)
10.2* 7.5 =
27.1/5.31 =
2.712 + 10.8 =
What is the volume in cubic cm of a sphere with radius 2 cm?
A sphere has a volume of 106 cm3. What is its radius (in cm)?
What is the area in m2 of a triangle with base 2.8 m and height of 10.4 m?
69 inches (exactly) is how many centimeters (exactly)?
52 miles (exactly) is how many meters (exactly)?
Here is what I suggest. Repost these in say three to five per post, with your thinking or work. Let us critique that, you will get better help, and we can quickly analyze what you are missing, if anything.
Of course, I'd be happy to help you with these physics problems! Here are the step-by-step explanations for each question:
1. What is the decimal equivalent of 3.14 × 10^7?
To express a number in decimal form from scientific notation, you need to move the decimal point to the right or left based on the exponent. In this case, since the exponent is positive (7), you will move the decimal point 7 places to the right. Starting from 3.14, move the decimal point to the right seven times to get the final answer, which is:
31,400,000.
2. What is the decimal equivalent of 2.8e-4?
In scientific notation, the exponent represents the number of decimal places to move the decimal point. In this case, since the exponent is negative (e-4), you need to move the decimal point four places to the left. Starting from 2.8, move the decimal point to the left four places to get the final answer, which is:
0.00028.
3. 10.2 * 7.5 =
Multiply the two numbers together using the multiplication operation:
10.2 * 7.5 = 76.5.
4. 27.1 / 5.31 =
Divide the first number by the second number using the division operation:
27.1 / 5.31 ≈ 5.1082 (rounded to four decimal places).
5. 2.712 + 10.8 =
Add the two numbers together using the addition operation:
2.712 + 10.8 = 13.512.
6. What is the volume in cubic cm of a sphere with a radius of 2 cm?
The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius. Substitute the value of the radius (2 cm) into the formula:
V = (4/3) * π * 2^3
V = (4/3) * 3.14 * 8
V ≈ 33.4933 cm^3 (rounded to four decimal places).
7. A sphere has a volume of 106 cm3. What is its radius (in cm)?
Rearrange the formula for the volume of a sphere to solve for the radius:
V = (4/3) * π * r^3
106 = (4/3) * 3.14 * r^3
Divide both sides of the equation by ((4/3) * 3.14):
106 / ((4/3) * 3.14) = r^3
r^3 ≈ 26.8193
To find the radius, take the cube root of both sides:
r ≈ 3.1253 cm (rounded to four decimal places).
8. What is the area in m^2 of a triangle with a base of 2.8 m and a height of 10.4 m?
The formula for the area of a triangle is A = (1/2) * base * height. Substitute the values of the base (2.8 m) and height (10.4 m) into the formula:
A = (1/2) * 2.8 * 10.4
A = 14.56 m^2.
9. 69 inches (exactly) is how many centimeters (exactly)?
To convert inches to centimeters, multiply the number of inches by 2.54 (since there are 2.54 centimeters per inch):
69 inches * 2.54 cm/inch = 175.26 cm.
10. 52 miles (exactly) is how many meters (exactly)?
To convert miles to meters, multiply the number of miles by 1609.34 (since there are 1609.34 meters per mile):
52 miles * 1609.34 m/mile ≈ 83,680.68 m (rounded to two decimal places).
I hope these explanations help you understand how to solve these physics problems! If you have any further questions, feel free to ask.