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^^

1 Answer
Sep 29, 2017

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#