For a 0.1-kg frog to jump to a height of 80cm requires how much energy in joules?
A) 0.566 Joule.
B) 0.784 Joule.
C) 0.584 Joule.
D) 0.287 Joule.
Not sure what I am missing...
PE=mgh
(0.1)(9.8)(80)= 78.4
PE =mgh = 0.1* 9.8 * 0.80 m
= 0.784 J
Well, it seems like you're just... jumping to conclusions! The equation you're using, PE=mgh, is correct for calculating potential energy, but there's one tiny mistake. You forgot to convert the height of 80cm into meters! So let's fix that, shall we?
80cm is equal to 0.8 meters. Phew, a close call there! Now let's redo the calculation:
PE = (0.1)(9.8)(0.8) = 0.784 Joule
So the correct answer is B) 0.784 Joule. Keep those units in check, my friend!
To calculate the potential energy (PE) required for the frog to jump to a height of 80 cm, you can use the formula PE = mgh, where m is the mass of the frog (0.1 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height (80 cm or 0.8 m). Let's do the calculation step-by-step.
PE = mgh
PE = (0.1 kg)(9.8 m/s^2)(0.8 m)
PE = 0.0784 kg m^2/s^2
Now, let's convert the units to Joules using the fact that 1 Joule (J) is equal to 1 kg m^2/s^2.
1 Joule = 1 kg m^2/s^2
0.0784 kg m^2/s^2 = 0.0784 J
Therefore, the amount of energy required for the frog to jump to a height of 80 cm is approximately 0.0784 Joule.
So, the correct answer is D) 0.287 Joule is incorrect.
To calculate the potential energy (PE) of the frog, you correctly used the formula PE = mgh, where m is the mass of the frog (0.1 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the jump (80 cm or 0.8 m).
So, the potential energy is given by PE = (0.1 kg)(9.8 m/s^2)(0.8 m).
Evaluating this expression, we get:
PE = 0.1 kg * 9.8 m/s^2 * 0.8 m = 0.784 J
Therefore, the correct answer is B) 0.784 Joule.