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FORCE
Force can also be defined as a push or pull that acts on an object. Force is an agent which change the states of an object. It is an agent which can either stop a moving object, move an object from rest, or change the direction of its motion.
Force is a vector quantity as it has direction and magnitude.The SI unit for force is Newton (N). It is a vector quantity. It is represented by the following symbol.Force is a vector quantity. The S.I unit of force is newton. Other unit of force is kgm/s2.
Force is based on Newton’s 1st law of motion which states that an object continues to be in a state of rest or move with uniform velocity until an external force acts on it.
Types of Force:
Force is classified into:
1. Gravitational force –this is the force of attraction between two bodies of given masses.
Earth’s gravitational force is the force which pulls a body towards its center. This pull of gravity is called weight.
- Force of friction – this is a force which opposes the relative motion of two surfaces in contact with each other. Friction in fluids is known as viscosity.
- Tension force – this is the pull or compression of a string or spring at both its ends.
- Upthrust force – this is the upward force acting on an object immersed in a fluid.
- Cohesive and adhesive forces – cohesive is the force of attraction of molecules of the same kind while adhesive is the force of attraction of molecules of different kinds .
- Magnetic force – this is a force which causes attraction or repulsion in a magnet.
- Electrostatic force – this is the force of attraction or repulsion of static charges.
- Centripetal force – this is a force which constrains a body to move in a circular orbit or path.
- Surface tension – this is the force which causes the surface of a liquid to behave like a stretched skin. This force is cohesive.
The equation for force is given by Newton’s 2nd law in which it is stated that the acceleration produced in a moving object is directly proportional to the force acting on it and inversely proportional to the mass of the object.
Newton’s 2nd law can be represented as follows:
it can also be written as
Or in words
Where F is the force in Newton (N), m is the mass of the object in kg, and a is the acceleration of the body in m/s2. In other words, as the force acting on an object increases, its acceleration will increase provided the mass remains constant.
What is the acceleration produced on an object with a mass of 10kg when a force of 13N is applied to it?
We know that,
The resultant force will produce an acceleration of 1.3 m/s2 on the object.
Measuring Force
We use a spring balance to measure force. A spring balance is an instrument that uses the extension of a spring to measure forces.
Example
The length of a spring is 16.0 cm. its length becomes 20.0 cm when supporting a weight of 5.0 N. calculate the length of the spring when supporting a weight of:
- a) 2.5 N
- b) 6.0 N
- c) 200 N
Solution
5N causes an extension of 4.0 cm, therefore 1.0 cm causes an extension of 4 /5 = 0.8 cm.
- 5 N => 2.5 × 0.8 = 2.0 cm
therefore length becomes
- = 16.0 + 2.0 = 18.0 cm.
- 0 N => 6.0 × 0.8 = 4.8 cm
therefore length becomes
- = 16.0 + 4.8 = 20.8 cm.
- 200 N => 200 × 0.8 = 160.0 cm
therefore length becomes
- = 16.0 + 160.0
- = 176.0 cm.
Example
An astronaut weighs 900 N on earth. On the moon he weighs 150 N. Calculate the moons’ gravitational strength. (Take g = 10 N/kg).
Solution
Moons’ gravitational strength = weight of astronaut on the moon / mass of astronaut.
= 150 / 90 = 1.67 Nkg-1