A physics student took a solid sphere of density 2 g `cm^(-3)` and radius 3.5 cm and applied a force on the sphere. If an acceleration fo 1.5 `cm s^(-2)` is produced in it, find the amount of force applied on it.

Explanation

Given, acceleration, a = 1.5 cm `s^(-2)`
Radius of sphere, r= 3.5 cm
Density of sphere = 2 g `cm^(-3)`
Force, F = (mass) (acceleration)
But mass, M = (volume) (density),
Volume `V = 4/3 pi r^3=4/3 xx (22)/(7) xx (3.5)^3 cm^3`
`:. M=4/3 xx (22)/(7)xx(7/2)^3 xx 2=(1078)/(3)g`
`:.` Force, `F= (1078)/(3) xx 1.5` dyne =`(1078)/(2)` = 539 dyne.