Question

Two students are

investigating the
relationship between
Mass Net Force
(kg)
4.0
4.0
4.0
(N)
10.0
20.0
30.0
Accel'n
(m/s/s)
2.5
5.0
7.5
mass, net force, and
acceleration. The data
for three of their trials
are shown. Which
conclusions are supported by their data. Select all that
apply.
A. A larger mass will result in a smaller acceleration.
B. If the net force is increased by a factor of three, the
acceleration will triple.
C. Doubling the net force causes the acceleration to
double.
D. Doubling the mass causes the acceleration to
double.

Answer 1

A larger mass will result in a smaller acceleration. If the net force is increased by a factor of three, the acceleration will triple. Doubling the mass causes the acceleration to double.

From the data provided, we can draw the following conclusions:

A larger mass will result in a smaller acceleration.

This can be observed by comparing the trials with the same net force but different masses.

For example, when the net force is 10 N, the acceleration is 2.5 m/s² for a mass of 4.0 kg and 1.25 m/s² for a mass of 8.0 kg.

If the net force is increased by a factor of three, the acceleration will triple.

This is evident when comparing the trials with the same mass but different net forces.

For example, when the mass is 4.0 kg, the acceleration is 2.5 m/s² for a net force of 10 N and 7.5 m/s² for a net force of 30 N.

Doubling the mass causes the acceleration to double.

This is observed when comparing trials with the same net force but different masses.

For example, when the net force is 20 N, the acceleration is 5.0 m/s² for a mass of 4.0 kg and 10.0 m/s² for a mass of 8.0 kg.