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Problem 4.18

4.18. a)

We want to find the resulting force from the three vectors, tex2html_wrap_inline343 , tex2html_wrap_inline345 , and tex2html_wrap_inline347 . We find that

tex2html_wrap_inline349

Therefore, we can find that the resultant force tex2html_wrap_inline351 has magnitude

tex2html_wrap_inline353 at and angle given by tex2html_wrap_inline355 below the negative x axis.

Since m is a scalar and we know from Newton that tex2html_wrap_inline357 , then tex2html_wrap_inline359 must also be at the same angle of tex2html_wrap_inline361 below the negative x axis.

b)

Now, to find the mass of the object we manipulate Newton's second law to obtain

tex2html_wrap_inline363

and since tex2html_wrap_inline351 and tex2html_wrap_inline359 are in the same direction, we find that

tex2html_wrap_inline369

c)

To find the object's speed after 10 seconds, break the acceleration into x and y components.

tex2html_wrap_inline371

tex2html_wrap_inline373

tex2html_wrap_inline375

tex2html_wrap_inline377

tex2html_wrap_inline379

d)

We found the components of the velocity after 10 s in our derivation of part c.

tex2html_wrap_inline381



Jason George Zeibel
Thu Oct 2 04:03:14 EDT 1997