Hi, I try to solve the following problem but my answer does not correspond to the solution of the textbook. Please help me to understand the problem: The net force acting on a particle depends on the position of the particle along the x-axis according the relation F=F0+C*x, where F0=5N and C=-2N/m. The particle is initially at rest at x=0m when the force begins to act. a- Calculate the work done by the force when the particle reaches x values 1,2,3and 4 m? b- Determine any positions ( besides x=0m ) where the work done is zero. I have problem for the question a. What I did is to compute F1=F0+C*(1) [for x=1m] that gives me F1=5-2=3N So the work for F1 is W1= F1*(1)=3J However the answer in the textbook it w1=4J I dont know how they get that. Thank you for your time. B
the force is a function of the displacement and hence one cannot directly multiply the force iwth the displacement istead integrate F*dx from 0 to the final position to get the actual work done a similar approach can be used for part b