Science-
A 25N object is 3 meters up. How much potential energy does it have? our teacher said that the formula for finding out potential energy is PE = Mass * Gravity * Height. The gravity on Earth is always 9.8, but my problem is that instead of mass the object is measured in force. My answer is 735 j.
Math-
5�ãx - 30 = 2�ãx + 54. I have to solve for x. So far, I think this is wrong, but I have added 30 to both sides and I solved to get x = 4. Thanks.
Whoa. Um... The squares are supposed to be square root signs and the a with the dash on top is NOT supposed to be there. I thought I put this: �ã
Science:
To calculate the potential energy of an object, you can use the formula: PE = Force * Height. In this case, the force acting on the object is given as 25N, and the height is 3 meters.
PE = 25N * 3m = 75 Joules
So the object has 75 Joules of potential energy.
Math:
To solve the equation 5�ãx - 30 = 2�ãx + 54, here are the steps:
1. Start with the original equation: 5�ãx - 30 = 2�ãx + 54.
2. Move all terms containing square roots to one side and constants to the other side.
5�ãx - 2�ãx = 54 + 30
3�ãx = 84
3. Square both sides to eliminate the square root.
(3�ãx)^2 = 84^2
9x = 7056
4. Divide both sides by 9 to solve for x.
x = 7056 / 9
x = 784
So the solution to the equation is x = 784.
Science:
To calculate the potential energy of an object, you would normally use the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth), and h is the height or vertical distance the object is lifted. However, in this case, you are given the force (25N) instead of the mass.
To overcome this, you need to use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration: F = ma. Rearranging this equation, you get m = F/a.
In this situation, you are interested in finding the potential energy, so you can use the equation PE = mgh. Plugging in the values you have, we get:
PE = ( * h
Using the given values:
PE = (25N / 9.8 m/s^2) * 9.8 m/s^2 * 3 m
PE = 25N * 3m
PE = 75 joules (J)
Therefore, the correct potential energy for the given object is 75 joules (J), not 735 joules (J) as you mentioned.
Math:
To solve the equation 5√x - 30 = 2√x + 54 for x, your approach of adding 30 to both sides is a good start. Let's continue solving the equation step by step:
5√x - 30 + 30 = 2√x + 54 + 30
5√x = 2√x + 84
Next, you want to isolate the term with the square root on one side. You can do this by subtracting 2√x from both sides:
5√x - 2√x = 2√x + 84 - 2√x
3√x = 84
Now, square both sides of the equation to remove the square root:
(3√x)^2 = 84^2
9x = 7056
Finally, divide both sides of the equation by 9 to solve for x:
x = 7056 / 9
x ≈ 784
So, the solution to the equation is x ≈ 784.