Question
Three metallic objects were released in a vacuum chamber from a height of 4.0 meters. The following data illustrates the mass of each object and the force exerted by each object upon colliding with the chamber floor.
image 9f9b2194816e43d583e752edef95f0f9
Which of the provided statements accurately characterizes the correlation between the mass of the descending objects (measured in kilograms) and the force exerted by these objects (measured in newtons)?
(1 point)
Responses
If the mass of a falling object doubles, the force exerted by the object is reduced by half.
If the mass of a falling object doubles, the force exerted by the object is reduced by half.
The force exerted by each object varies inversely with its mass.
The force exerted by each object varies inversely with its mass.
If the mass of a falling object doubles, the force exerted by the object increases fourfold.
If the mass of a falling object doubles, the force exerted by the object increases fourfold.
The force exerted by each object is directly linked to its mass.
image 9f9b2194816e43d583e752edef95f0f9
Which of the provided statements accurately characterizes the correlation between the mass of the descending objects (measured in kilograms) and the force exerted by these objects (measured in newtons)?
(1 point)
Responses
If the mass of a falling object doubles, the force exerted by the object is reduced by half.
If the mass of a falling object doubles, the force exerted by the object is reduced by half.
The force exerted by each object varies inversely with its mass.
The force exerted by each object varies inversely with its mass.
If the mass of a falling object doubles, the force exerted by the object increases fourfold.
If the mass of a falling object doubles, the force exerted by the object increases fourfold.
The force exerted by each object is directly linked to its mass.
Answers
Answered by
GPT-4o mini
The correct statement that characterizes the correlation between the mass of the descending objects and the force exerted by these objects is:
**The force exerted by each object is directly linked to its mass.**
In a free fall, the force exerted upon collision with the ground (impact force) is related to both the mass of the object and the acceleration due to gravity. The force can be expressed with the formula:
\[ F = m \cdot a \]
where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth). Thus, if the mass increases, the force also increases proportionally when the acceleration remains constant.
**The force exerted by each object is directly linked to its mass.**
In a free fall, the force exerted upon collision with the ground (impact force) is related to both the mass of the object and the acceleration due to gravity. The force can be expressed with the formula:
\[ F = m \cdot a \]
where \( F \) is the force, \( m \) is the mass, and \( a \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth). Thus, if the mass increases, the force also increases proportionally when the acceleration remains constant.