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.