explain the law of motion needed to slove this problem. On Planet Zorg, a 30kg barbell can be lifted by only exerting a force of 180N. what is the acceleration of gravity on Planet Zorg? Predict how the motion of this object would change on earth.
To solve this problem, we need to apply Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration (F = m * a).
Given information:
- Mass of the barbell (m) = 30 kg
- Force exerted on the barbell (F) = 180 N
Now, let's use Newton's second law to calculate the acceleration of the barbell on Planet Zorg. Rearranging the formula, we get:
a = F / m
Substituting the values, we have:
a = 180 N / 30 kg
Calculating this, we find that the acceleration of the barbell on Planet Zorg is 6 m/s^2.
Now, to predict how the motion of this object would change on Earth, we need to consider that the acceleration due to gravity is different on each planet. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
Since the weight of an object is equal to its mass multiplied by the acceleration due to gravity (Weight = m * g), we can find the value for 'g' on Planet Zorg by rearranging the equation:
g = F / m
Using the given values, we find:
g = 180 N / 30 kg
Therefore, the acceleration due to gravity on Planet Zorg is 6 m/s^2.
Now, comparing the acceleration due to gravity on Planet Zorg (6 m/s^2) to that on Earth (9.8 m/s^2), we can conclude that the motion of the barbell would feel lighter or less weighty on Planet Zorg compared to Earth. This means that the barbell would be easier to lift and would experience a slower fall on Planet Zorg compared to Earth due to the lower acceleration due to gravity.