
An object thrown at a certain angle to the ground moves in a curved path and falls back to the ground. The initial and the final points of the path of the object lie on the same horizontal line. What is the work done by the force of gravity on the object?
Answer
438.6k+ views
Hint: In physics, a force is any influence that, when unopposed, causes an object to change its velocity. A force can cause a mass item to change its velocity (which includes starting to move from a standstill), i.e. accelerate. Intuitively, force may be characterised as a push or a pull. A force is a vector quantity since it has both magnitude and direction. The SI unit of Newton is used to measure it (N). The letter F is used to signify force.
Complete step by step solution:
Work is the energy delivered to or from an item by applying force along a displacement in physics. It is frequently expressed as the product of force and displacement in its simplest form. When applied, a force is said to produce positive work if it has a component in the direction of the point of application's displacement. If a force has a component that is opposite the direction of displacement at the point of application, it produces negative work.
When a force is applied to an item, work is said to be completed. Work is usually measured in terms of the force exerted, whereas energy is measured in terms of other elements such as heat. Power is defined as the amount of work completed in a given amount of time.
The work done by gravity on an item is only dependent on vertical displacement.
The difference between the object's original and final positions/heights, which is zero, determines vertical displacement.
The phrase, describes the work done by gravity.
\[W=\text{ }m\text{ }\times \text{ }g\text{ }\times \text{ }h\]
Where,
h = Vertical displacement = 0
\[W\text{ }=\text{ }m\text{ }\times \text{ }g\text{ }\times \text{ }0\]
\[W\text{ }=\text{ }0\text{ }J\]
As a result, gravity's work on the given item is 0 joule.
note
The joule (J), named for 19th-century English scientist James Prescott Joule, is the SI unit of work. It is defined as the work necessary to exert a force of one newton through a displacement of one metre. The dimensionally equivalent newton-metre (Nm) is occasionally used as a unit of work measurement, however this should not be confused with the torque measurement unit. The SI authority discourages the use of Nm because it might cause misunderstanding as to whether a number represented in newton metres is a torque measurement or a work measurement.
Note: The joule (J), named for 19th-century English scientist James Prescott Joule, is the SI unit of work. It is defined as the work necessary to exert a force of one newton through a displacement of one metre. The dimensionally equivalent newton-metre (Nm) is occasionally used as a unit of work measurement, however this should not be confused with the torque measurement unit. The SI authority discourages the use of Nm because it might cause misunderstanding as to whether a number represented in newton metres is a torque measurement or a work measurement.
Complete step by step solution:
Work is the energy delivered to or from an item by applying force along a displacement in physics. It is frequently expressed as the product of force and displacement in its simplest form. When applied, a force is said to produce positive work if it has a component in the direction of the point of application's displacement. If a force has a component that is opposite the direction of displacement at the point of application, it produces negative work.
When a force is applied to an item, work is said to be completed. Work is usually measured in terms of the force exerted, whereas energy is measured in terms of other elements such as heat. Power is defined as the amount of work completed in a given amount of time.
The work done by gravity on an item is only dependent on vertical displacement.
The difference between the object's original and final positions/heights, which is zero, determines vertical displacement.
The phrase, describes the work done by gravity.
\[W=\text{ }m\text{ }\times \text{ }g\text{ }\times \text{ }h\]
Where,
h = Vertical displacement = 0
\[W\text{ }=\text{ }m\text{ }\times \text{ }g\text{ }\times \text{ }0\]
\[W\text{ }=\text{ }0\text{ }J\]
As a result, gravity's work on the given item is 0 joule.
note
The joule (J), named for 19th-century English scientist James Prescott Joule, is the SI unit of work. It is defined as the work necessary to exert a force of one newton through a displacement of one metre. The dimensionally equivalent newton-metre (Nm) is occasionally used as a unit of work measurement, however this should not be confused with the torque measurement unit. The SI authority discourages the use of Nm because it might cause misunderstanding as to whether a number represented in newton metres is a torque measurement or a work measurement.
Note: The joule (J), named for 19th-century English scientist James Prescott Joule, is the SI unit of work. It is defined as the work necessary to exert a force of one newton through a displacement of one metre. The dimensionally equivalent newton-metre (Nm) is occasionally used as a unit of work measurement, however this should not be confused with the torque measurement unit. The SI authority discourages the use of Nm because it might cause misunderstanding as to whether a number represented in newton metres is a torque measurement or a work measurement.
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