A 55 newton force applied in a object moves the object 10 meters as the same direction as the force what is the value of work do
2 answers:
Answer: 550 Joules
Step-by-step explanation:
We know that when force(Newtons) moves an object some distance (meters) in the same direction as the force, then the formula to calculate work (Joules) done is given by :-
, where F is the force and d is the distance.
Given: Force : F= 55 Newtons
Distance: d = 10 meters
.
Hence, the value of work done on this object = 550 Joules.
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Answer:
(A) with
.
(B) with
(C) with
(D) with
,
Step-by-step explanation
(A) We can see this as separation of variables or just a linear ODE of first grade, then . With this answer we see that the set of solutions of the ODE form a vector space over, where vectors are of the form
with
real.
(B) Proceeding and the previous item, we obtain . Which is not a vector space with the usual operations (this is because
), in other words, if you sum two solutions you don't obtain a solution.
(C) This is a linear ODE of second grade, then if we set and we obtain the characteristic equation
and then the general solution is
with
, and as in the first items the set of solutions form a vector space.
(D) Using C, let be we obtain that it must satisfies
and then the general solution is
with
, and as in (B) the set of solutions does not form a vector space (same reason! as in (B)).