Read: Velocity Formula Work Formula in Thermodynamics If one joule of work is done, the formula for work is 1 J = 1 N.m. Θ= is the angle formed by the force and displacement. The formula of work is given below:ĭ = The magnitude of the displacement in the force’s direction. Hence, work is a scalar quantity and its SI unit is Joule which is represented by J. Both are vector quantities, which means work is the dot product of two vectors and we have studied in physics that the dot product of two vectors produces scalar quantity. Work is the product of force and displacement. The formula of work is employed to calculate the work done to displace any object. Read: Percentage Error Work Formula dimension in Physics
If the box will not displace a bit from its actual position p to new position q then the work done will be zero. Lets more simplify the definition of work with an example, suppose a box is placed at the position “p” and when we push the box in forwarding direction, that means we are applying force to the box and the box moved to the new position “q” that means its displaced from p position to q position. If there is no displacement in the object then the work done will be zero. When we apply any force to an object and the object is displaced by its actual position in the direction of force then the work is said to be done. Θ = 0, Īnswer: The amount of work done by the force in moving the object is 800 J.Before learning the formula of work let us know what is work and its applications. To find: Work done by the force in moving the object through a distance of 7 m So the displacement of the bag in the direction of the force (weight) is zero.Īnswer: Work done by the coolie on the bag is zero.Įxample 3: Calculate the amount of work done by the force in moving the object through a distance of 7 m if an object is horizontally dragged across the surface by a 150 N force acting parallel to the surface. Calculate the work done by the coolie on the bag by using the formula for work.Īlso, the weight of the bag will be acting in the vertical direction and its motion is in the horizontal direction. Calculate the work done by using the formula for work.Īnswer: 20 Nm of work is done when a 10 Newton of force displaces an object by 2 meters.Įxample 2: A coolie at a railway station carries a bag weighing 100 N through some distance.
#Work formula physics trial
With Cuemath, find solutions in simple and easy steps.īook a Free Trial Class Examples Using Formula For WorkĮxample 1: 10 Newton of force is applied on a body which displaces it by 2 meters. Use our free online calculator to solve challenging questions. Now, if the effective component of force along the direction of displacement is Fcosθ responsible for the displacement of any object in the given direction, then work done by the force F in displacing the body through displacement d is, W=(|F|cosθ)|d| Since F = ma (Newton's 2nd law), thus W = Fs. In general, the work done by force F is equal to the change in kinetic energy If 1 joule of work is done then the formula for work comes out to be 1 J = 1 N.m Derivation of Work FormulaĬonsider a block placed on a frictionless horizontal floor acted upon by a constant force F due to which this block moves through a distance d in a straight line in the direction of the force.
Work is the dot product of the two vectors: force and displacement. The formula for work is used to calculate the work done to displace any object. Work is the product of the force applied and displacement in the direction of the force applied. Let us learn more about the formula for work along with solved examples in the following section. The formula for work is used to calculate work done in moving an object. If the displacement in the direction of force is zero then the work done becomes zero. Work is said to be done when we apply a force on an object and the object experiences displacement. Before we learn the formula, let us recall what work means. The formula for work is used to calculate the work.
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