Writing solution for students on Livingston Research platform.
1)
In the first image, there’s only one force that acts on the object which is the gravitational force. This force has a negative direction because the object moves due to acceleration due to gravity. So, a total force acts on the object FN= Fg
From this, we can determine the mass of the object from the standard gravitational force equation,
The acceleration of this object is determined by using Newton’s second law.
So, the acceleration of the object is equal to the gravity because there is only one force acting on the object.
2)
Similarly, for this, we can determine the Net force, mass and acceleration. There are two forces gravitational force and air resistive force takes place.
The mass of the object in each case is determined by the gravitational force,
Acceleration of the object is the ratio between the Net force and mass of the object. So, the acceleration of the given phenomena is,
3)
In this case, the Net force of the object is determined by two different Net forces. One is acting along the x-axis and another one is along the y-axis. Both Normal and gravitational forces are equal in magnitude but opposite in sign. So, the net force along y-axis is zero. Net force along the x-axis depends on the friction force only.
Mass of the object is,
Acceleration of the object is determined as,
4)
Same as section (3) the Net force only depends on the frictional force because both gravitational and normal forces cancel out.
Mass of the object is,
Acceleration of the object,
5)
Both sections (5) and (6) are similar, Forces act along the y-axis are the same magnitude and opposite direction. So, they cancel out. Only the x-component of Net force takes place. In section (5), Net force becomes,
Mass of the object from the gravitational force equation,
Acceleration of the object is the ratio between Net force and mass.
6)
Same as section (5), the Net force acting along the x-axis alone. The total force acting on the object is,
Mass of the object from the gravitational force equation,
Acceleration of the object is the ratio between Net force and mass,
So, the calculation on each section is determined and their final calculated values are presented in the table below.
S.No
Image
Net Force (N)
Mass m (kg)
Acceleration a (
1
61
-9.8
2
-200
61
-3.28
3
-2000
816.32
-2.45
4
-4000
816.32
-4.90
5
8
2.04
4
6
16
4
4
1)
In the first image, there’s only one force that acts on the object which is the gravitational force. This force has a negative direction because the object moves due to acceleration due to gravity. So, a total force acts on the object FN= Fg
From this, we can determine the mass of the object from the standard gravitational force equation,
The acceleration of this object is determined by using Newton’s second law.
So, the acceleration of the object is equal to the gravity because there is only one force acting on the object.
2)
Similarly, for this, we can determine the Net force, mass and acceleration. There are two forces gravitational force and air resistive force takes place.
The mass of the object in each case is determined by the gravitational force,
Acceleration of the object is the ratio between the Net force and mass of the object. So, the acceleration of the given phenomena is,
3)
In this case, the Net force of the object is determined by two different Net forces. One is acting along the x-axis and another one is along the y-axis. Both Normal and gravitational forces are equal in magnitude but opposite in sign. So, the net force along y-axis is zero. Net force along the x-axis depends on the friction force only.
Mass of the object is,
Acceleration of the object is determined as,
4)
Same as section (3) the Net force only depends on the frictional force because both gravitational and normal forces cancel out.
Mass of the object is,
Acceleration of the object,
5)
Both sections (5) and (6) are similar, Forces act along the y-axis are the same magnitude and opposite direction. So, they cancel out. Only the x-component of Net force takes place. In section (5), Net force becomes,
Mass of the object from the gravitational force equation,
Acceleration of the object is the ratio between Net force and mass.
6)
Same as section (5), the Net force acting along the x-axis alone. The total force acting on the object is,
Mass of the object from the gravitational force equation,
Acceleration of the object is the ratio between Net force and mass,
So, the calculation on each section is determined and their final calculated values are presented in the table below.
S.No
Image
Net Force (N)
Mass m (kg)
Acceleration a (
1
61
-9.8
2
-200
61
-3.28
3
-2000
816.32
-2.45
4
-4000
816.32
-4.90
5
8
2.04
4
6
16
4
4
2022
