5:12 AM du 64% edugen wileyplus.com ey PLUS Halliday, randamentals of physics, 1

Question

5:12 AM du 64% edugen wileyplus.com ey PLUS Halliday, randamentals of physics, 10e -Remedial- Chapter 05, Problem 002 Two horizontal forces act on a 4.0 kg chopping block that can slide over a omam frictionless kitchen counter, which lies in an xy plane. One force is F1 88 N 45 N j Find the acceleration of the chopping block in unit- vector notation when the other force is (a) 72- s (b) 88 N 45 and (c) 88 N 45 veu would like Show workfor this question By accessing this Question Assistance, wit learn while vou earn peints based on the Puint Ponential Pulov set by vour Question Attempts:

Explanation / Answer

F1 = 8.8i + 4.5 j

In each case, we add the vectors to get the total force, then for a = F/m

a)

F1+F2 = 8.8i+4.5j-8.8i-4.5j

F1+F2 = 0
there is no force acting on the mass and therefore no acceleration
a = F/m

a = 0
a = 0i + 0j m/s2

b)

F1+F2 = 8.8i+4.5j-8.8i+4.5j

F1+F2 = 9j

the resultant force is in the direction of the y axis, therefore the acceleration of the object is

a = F/m

a = 9 j / 4 kg = 2.25 (m/s2) j

acceleration is 2.25 m/s2 along the +y axis
a = 0i + 2.25j m/s2

c)

F1+F2 = 8.8i+4.5j+8.8i-4.5j

F1+F2 = 16i

a = F/m

a = 16i/4kg = 4 m/s2 i

a = 4i + 0j m/s2

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