A loaf of bread weighs 3.9 N on earth. What should it weigh, in newtons, on the moon, where the acceleration due to gravity is one-sixth that on Earth?
Well, on the moon, where the acceleration due to gravity is one-sixth that on Earth, the loaf of bread would feel much lighter. So, instead of weighing 3.9 N, it would weigh, wait for it... only 0.65 N! Quite the weight loss program for our bread friend, huh? Maybe it's on a low-carb diet.
To find the weight of the loaf of bread on the moon, where the acceleration due to gravity is one-sixth that on Earth, you can use the formula:
Weight = Mass x Acceleration due to gravity
On Earth, the weight is given as 3.9 N (Newtons). We can use this information to calculate the mass of the loaf of bread by rearranging the formula:
Mass = Weight / Acceleration due to gravity
On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
Mass = 3.9 N / 9.8 m/s^2
Mass = 0.398 kg
Now, to calculate the weight on the moon, where the acceleration due to gravity is one-sixth that on Earth, you can use the formula again:
Weight on the moon = Mass x Acceleration due to gravity on the moon
On the moon, the acceleration due to gravity is approximately one-sixth of 9.8 m/s^2:
Acceleration due to gravity on the moon = (1/6) x 9.8 m/s^2
Acceleration due to gravity on the moon = 1.63 m/s^2
Weight on the moon = 0.398 kg x 1.63 m/s^2
Weight on the moon = 0.648 N
Therefore, the loaf of bread would weigh approximately 0.648 N on the moon.
To find the weight of the loaf of bread on the moon, where the acceleration due to gravity is one-sixth that on Earth, you can follow these steps:
Step 1: Calculate the weight of the loaf of bread on Earth.
Given that the weight of the loaf of bread on Earth is 3.9 N, this means that its weight is 3.9 newtons in the presence of Earth's gravitational acceleration (approximately 9.8 m/s^2).
Step 2: Calculate the weight of the loaf of bread on the moon.
The acceleration due to gravity on the moon is one-sixth that on Earth. Therefore, you need to multiply the weight of the loaf of bread on Earth by one-sixth.
Weight on the moon = Weight on Earth * (1/6)
Weight on the moon = 3.9 N * (1/6)
Weight on the moon = 0.65 N
So, the loaf of bread would weigh approximately 0.65 newtons on the moon.