Aforce f~ = fx ˆı + fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where fx = 8 n, fy = −1 n, sx = 6 m, and
sy = 2 m.
find the work done by the force on the
particle.
answer in units of j.

W = 46 J

Explanation:

We need to find the angle between the two vectors Force vector and displacement vector.

First we will find the angle α of the force vector

Then we find the angle β of the displacement vector

With these two angles we can find the angle between the two vectors

∅ = α + β = 25.56 deg

The definition of work is given by the expression

The absolute value of F will be:

The absolute value of d will be:

Now we have:

d) physical means can be used to separate the components of air.

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles