Answer:
m=0.853 kg
Explanation:
net Force = ma
There are two forces the tension in the shoelace and the weight of the keys
net Force = Tension - Weight = m*a
[tex]T-m*g=m*a[/tex]
[tex]T=m*(g+a)[/tex]
to find a you know vf= 1.34 m/s, after moving d=0.44m, vi=0 m/s
[tex]Vf^2=Vi^2+2*a*d[/tex]
[tex]1.34^2(m/s)=0+2(a)(0.44m)[/tex]
[tex]a=2.04(m/s^2)[/tex]
[tex]T=m*(g+a)[/tex]
[tex]10.1N=m*(9.8+ 2.04)(m/s^2)[/tex]
[tex]m=\frac{10.1}{11.84}[/tex]
[tex]m=0.853 kg[/tex]