1. If a car's mass is 439 kg, what is the weight on earth?
A. 4390 N
B. 4350 N
C. 4300 N
D. 4360 N
2. If a person weighs 717 N on earth and 5320 N on the surface of a nearby planet, what is the acceleration due to gravity on that planet?
A. 83.6 m/s^2
B. 72.7 m/s^2
C. 63.2 m/s^2
D. 53.1 m/s ^2
Help me please, I'm horrible at physics.
Is number 2 B?
1. weight is the mass being "pushed on" by gravity
... w = m g = 439 kg * 9.81 m/s^2
2. weight is proportional to gravitational force (and acceleration)
... Gp / g = Wp / w ... Gp / 9.81 = 5320 / 717
... B is correct
No problem! I'm here to help you understand how to solve these physics problems.
1. To find the weight of the car on Earth, you need to multiply its mass by the acceleration due to gravity on Earth. The equation for weight is W = mg, where W represents weight, m represents mass, and g represents the acceleration due to gravity. On Earth, gravity is approximately 9.8 m/s^2.
So, to find the weight on Earth, you can use the formula W = mg:
W = (439 kg) * (9.8 m/s^2) ≈ 4302.2 N
Round this answer to the nearest tenth, and we can see that the weight on Earth is approximately 4300 N. Therefore, the correct answer is C. 4300 N.
2. To find the acceleration due to gravity on the nearby planet, we will first need to calculate the acceleration due to gravity on Earth. Using the formula W = mg, we can rearrange it to solve for g:
g = W / m
Next, we can calculate the acceleration due to gravity on Earth:
g_e = (717 N) / (m)
Now, to find the acceleration due to gravity on the nearby planet, we can set up an equation using the weight on the nearby planet and the given weight on Earth:
(5320 N) = (m) * (g_p)
To find g_p, divide both sides of the equation by m:
g_p = (5320 N) / (m)
Now, we can set up a ratio of the acceleration due to gravity on the nearby planet to the acceleration due to gravity on Earth:
ratio = g_p / g_e
Divide the given values to calculate the ratio:
ratio = [(5320 N) / (m)] / [(717 N) / (m)]
Simplify the equation:
ratio = (5320 N) / (717 N)
Now, we substitute this ratio back into the equation for the acceleration due to gravity on Earth:
g_e * ratio = (g_e) * [(5320 N) / (717 N)]
Finally, we can substitute the value for g_e ≈ 9.8 m/s^2 into the equation:
(9.8 m/s^2) * [(5320 N) / (717 N)] ≈ 72.64708 m/s^2
Round this answer to the nearest tenth, and we can see that the acceleration due to gravity on the nearby planet is approximately 72.7 m/s^2. Therefore, the correct answer is B. 72.7 m/s^2.
Understanding physics can be challenging, but by following the formulas and breaking down the problem step by step, you can tackle the questions effectively. Keep practicing and you'll keep improving!