#11: Impulse(I)=FΔt; Δt=T final - T initial/or rather given time
=4.16×10⁻⁴(1.84×10⁶)
=7.65×10²Ns
#12: Spring Force(F)=kx; k-spring constant
x-extension
by making k subject of the formula:
spring constant(k)=F/x
=3.92×10²/3.84×10⁻³
=1.02×10*5N/m
#13: Spring potential(U)= 1/2 kx²
= 1/2(9.33×10³)(4.95×10⁻²)²
=1.14×10*1J
#14: Centripetal Force(Fc)=m(v²/r)
=ma; v²/r=a
making m subject of formula:
m=Fc/a
=7.56×10³/6.14×10*-1
=1.23×10*4kg
#15: From definition of Fc, it can be noted that acceleration a=v²/r
making v(speed) subject of formula;
v=√ar
=√4.92×10⁻¹ (2.43×10¹)
=3.46×10*0m/s
Hope this helps!