Question

segment 1 forces & motion • scope 1. newtons second law • explore 1
claim
when force increases, the acceleration of the object________ if ________ is constant
evidence
the data show the force is ________ (increasing, decreasing, remaining constant) from ______ to ______. the data show the mass is ______ (increasing, decreasing, remaining constant) from ______ to ______. the data show the acceleration is ______ (increasing, decreasing, remaining constant) from ______ to ________
reasoning
the data support the claim because they show ________. there is a / an ______ (direct / inverse) relationship between force and acceleration when ______ is constant. according to newtons second law, the force on an object is equal to its mass times acceleration. this law supports my claim because ________
f = m a
data - part 1
trial force (n) mass (kg) time (s) acceleration (m/s²) a = f/m
1 0.3 0.5 2.400 0.6
2 0.7 0.5 1.573 1.4
3 1.0 0.5 1.370 2

Explanation:

Step1: Recall Newton's Second Law

According to $F = ma$, when $m$ (mass) is constant, $a$ (acceleration) is directly proportional to $F$ (force).

Step2: Analyze the data

From the data table, as the force increases from 0.3 N to 0.7 N to 1.0 N, the mass remains constant at 0.5 kg, and the acceleration increases from 0.6 m/s² to 1.4 m/s² to 2 m/s².

Answer:

Claim: When force increases, the acceleration of the object increases if mass is constant.
Evidence: The data show the force is increasing from 0.3 to 1.0. The data show the mass is remaining constant from 0.5 to 0.5. The data show the acceleration is increasing from 0.6 to 2.
Reasoning: The data support the claim because they show an increase in acceleration with an increase in force. There is a direct relationship between force and acceleration when mass is constant. According to Newton's Second Law, the force on an object is equal to its mass times acceleration. This law supports my claim because when mass is held constant, an increase in force leads to an increase in acceleration.