1. Which is NOT true about the variables in the relationship F = ma?
Acceleration is directly proportional to mass.
Force is directly proportional to mass.
Force is directly proportional to acceleration.
Acceleration will double if force is doubled.
An object near the earth’s surface is in a state of free fall. The object is experiencing a downward force of 170 N. What is the mass of the object?
17.6 kg
17.3 kg
18.0 kg
17.0 kg
To determine which statement is NOT true about the variables in the relationship F = ma, let's go through each option:
Option 1: "Acceleration is directly proportional to mass."
This statement is true according to Newton's second law of motion, which states that acceleration is directly proportional to the force applied and inversely proportional to the mass of an object. Therefore, this option is NOT the correct answer.
Option 2: "Force is directly proportional to mass."
This statement is also true according to Newton's second law of motion. It states that the force applied to an object is directly proportional to its mass. Therefore, this option is NOT the correct answer.
Option 3: "Force is directly proportional to acceleration."
This statement is NOT true. According to Newton's second law, force is directly proportional to the product of mass and acceleration, not just to acceleration alone. Therefore, this option is the correct answer.
Option 4: "Acceleration will double if force is doubled."
This statement is true. According to Newton's second law, if the force applied to an object is doubled while the mass remains constant, the acceleration of the object will also double. Therefore, this option is NOT the correct answer.
Now, let's calculate the mass of the object experiencing a downward force of 170 N when it is in a state of free fall.
Using the formula F = ma, we can rearrange it to solve for mass:
m = F / a
The acceleration of an object in free fall near the Earth's surface is approximately equal to the acceleration due to gravity, which is approximately 9.8 m/s^2.
Plugging in the given values:
m = 170 N / 9.8 m/s^2 ≈ 17.3 kg
Therefore, the correct answer is 17.3 kg.
The statement that is NOT true about the variables in the relationship F = ma is: Acceleration is directly proportional to mass.
To find the mass of the object experiencing a downward force of 170 N, we can use the equation F = ma. Rearranging the equation, we have m = F/a.
Given that the force is 170 N, and assuming that the object is experiencing free fall near Earth's surface, where the acceleration due to gravity is approximately 9.8 m/s^2, we can substitute these values into the equation.
m = 170 N / 9.8 m/s^2
Calculating this expression, the mass of the object is approximately 17.3 kg. Therefore, the correct answer is: 17.3 kg.
a. False.
b. True.
c. True.
d. True.
2. F = m*a.
170 = m * 9.8.