The gravitational field in a region is given by `vecE=(5Nkg^-1)veci+(12Nkg^-1)vecj.`. find the magnitude of the gravitational force acting on a particle of mass 2 kg placed at the origin

Answer

A, B, C, D

Explanation

`vecE=(5N/kg)veci+(12N/k)vecj`
a. `vecF=vecEm`
`=2kg[(5N/kg)veci(12N/kg)vecj]`
=(10N)veci+(24N)vecj`
`|vecF"|=sqrt(100+576)=sqrt676=26N`
b. `vecV=vecEr`
`At (12m, 0)=vecV=-(60J/kg)veci`
|vecV|=60J`
At `(0,5,m), vecV=-(60J/kgvecj)`,
`|vecV|=-60J`
c. `/_\V=int_(12,0)^(0,5) Emdr[(10N)veci+(24N)vecjr]`
`-(120vecjveci)+(120vecjveci)`
`=240j`
`d.` /_\V=-[R(10nveci+24Nvecj)]`
`=-120vec+120vecj=0`