Question

Forces of 3.0 N and 4.0 N act at right angles on a block. What should be the mass of the block for the acceleration to be 1 m/s^2 ?

Steps please, thank you^^

Answer 1

5 kg

Explanation:

Force `F_1=3 N` and `F_2=4N` act at right angle on a block.
Hence Resulting Force `F=sqrt(F_1^2+F_2^2)`
`F=sqrt(3^2+4^2)=sqrt(9+16)=sqrt(25)`
`F=5 N`

Acceleration `a=1 m/s^2`
Force `F="mass"xx"acceleration"`
`F=ma`
`m=F/a=5/1=5 kg`