Responses
mass and velocity
velocity and time
mass and acceleration
acceleration and time
11 answers
In order to study the effect of a net force applied to an object on its motion, the students should measure both mass and acceleration in each trial of the experiment.
By measuring these two quantities, they can apply Newton's second law of motion (F = ma), which relates the net force (F) applied to an object, its mass (m), and the resulting acceleration (a). Thus, the correct response is:
mass and acceleration.
To complete the last cell of the data table, we can use Newton's second law of motion, which states that \( F = ma \).
We know that:
\[ a = \frac{F}{m} \]
Substituting in the known values:
\[ a = \frac{20.0 , \text{N}}{5.0 , \text{kg}} = 4.0 , \text{m/s}^2 \]
So the value that would complete the last cell is 4.0.
The correct statement that describes the quantitative relationship between acceleration and net force on an object, as shown in the data table, is:
When the net force applied to an object changes, the mass of the object remains constant.
This is because, in the provided data, the mass of the object is constant (0.25 kg) while the net force changes, resulting in changes in acceleration according to Newton's second law (F = ma). The relationship indicates that for a constant mass, acceleration will vary directly with changes in net force.
The students concluded that tripling the mass required tripling the net force applied, which indicates that they were holding acceleration constant.
In the context of Newton's second law (F = ma), if they tripled the mass and needed to triple the force to maintain the same acceleration, this implies that acceleration remained unchanged throughout their trials.
So the correct response is:
acceleration.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass, expressed as:
\[ F = ma \implies a = \frac{F}{m} \]
When a net force of \(0.7 , \text{N}\) is applied, let's say the acceleration is \(a_1\). If half of the net force is applied in the second trial (which would be \(0.35 , \text{N}\)), we can analyze the new acceleration \(a_2\):
\[ a_2 = \frac{0.35 , \text{N}}{m} \]
Since \(0.35 , \text{N}\) is half of \(0.7 , \text{N}\), it follows that:
\[ a_2 = \frac{0.5F}{m} = \frac{1}{2} \cdot \frac{F}{m} = \frac{1}{2} a_1 \]
This means that the acceleration is half of its original value.
So, the correct response is:
The acceleration is half of its original value.
One purpose of transition words and phrases is to signal to readers that the time or location is changing. Transition words help to clarify the relationships between ideas, improve flow, and guide readers through the progression of thought in a piece of writing, including indicating shifts in time or place.
So the correct response is:
to signal to readers that the time or location is changing.
