tommyxu3 said:Based on the work's definition, to be honest, the more precise version of what you wrote in the Relevant equations, you have to find ##F\cdot d,## since the force is a constant vector here. Hence by what you had, you can get ##W=F\cdot d=|F||d|\cos\theta,## which can lead you to what you want.
tommyxu3 said:The value ##0.5## you get is the cosine of the angle ##\theta,## which the the angle of the force and the displacement. Do you realize these?
Parsifal1 said:Inverse cos (0.5)=60[/QUOTEo
OH! yes the inverse of 0.5 is 60 !
but why we are using inverse cosine?
yes it is 60 by using inverse cosine theta !tommyxu3 said:Now the question is given ##\cos\theta=0.5## and you have to find the ##\theta## between ##0## to ##180## degrees. Right?
oh! thank you for your quick help. appreciatParsifal1 said:That's how you find x in cos(x)
yes you are right if have this value memorized i would have done thi question in seconds thankyou i will memorize cos30 cos60 and cos90 values right?tommyxu3 said:You don't have to apply the idea of inverse function, though the same, but just have to know what you want, with some basic knowledge of trigonometry, like ##\cos 60^{\circ}=\frac{1}{2}.##
thanksParsifal1 said:25=(5*10)cos(x)
25/(5*10)=cos(x)=0.5
cos^-1 (0.5)=60
60°alijan kk said:Homework Statement
A body moves a distance of 10 meter along a straight line under the action of a force of 5 Newtons. If work done is 25 joules, the angle which the force takes with the direction of motion of the body is:
a: 0 degree
b: 30 degree
c: 60 degree
d: 90 degree
Homework Equations
work=fdcostheta
The Attempt at a Solution
what formula should we use to get the degree or how to figure out it by making a picture?
yes you are right , this question is solvedA@bhishek said:60°
Work and energy are two closely related concepts in physics. Work is defined as the application of a force over a distance, while energy is the ability to do work. They are both measured in the unit of joules.
The angle of force is the angle between the applied force and the displacement of an object. It is a crucial factor in determining the amount of work and energy involved in a system. The angle of force can affect the direction and magnitude of both work and energy.
The angle of force can be found using trigonometric functions, such as sine, cosine, or tangent. It can also be found using vector algebra if the force is represented as a vector. The angle can also be measured using a protractor or other angle measuring tools.
Finding the angle of force is important in determining the efficiency of a system. A force applied at an angle can produce different results than a force applied in the same direction as the displacement. Additionally, knowing the angle of force can help in predicting the motion of an object and calculating the work and energy involved.
The work-energy theorem states that the net work done on an object is equal to the change in its kinetic energy. The angle of force plays a crucial role in this theorem, as it affects the amount of work done on an object. A force applied at an angle can either increase or decrease the kinetic energy of an object, depending on the direction of motion.