Answer:
4.2m/s
Explanation:
Now the velocity or speed initiated by the 200g mass at 7.0m/s is related by the formula;
V=ω×r ; ω is the angular velocity
r is the distance
Note that;
ω = √k/m. ; where K is the Force constant of the spring.
m is the mass
We see from the two expressions that v will only change with r if the spring constant and mass stays the same.
Hence we can rewrite the equation of v for two pairs of velocity V1 , V2 and distance r1 , r2 as;
V1/r1 = V2/R2
If V1=7.0m/s , r1=25cm= 0.25m
V2=? r2 = 15cm = 0.15m
Hence we can calculate V2 and is;
V2 = V1 × R2/ R1
V2 = 7 × 0.15 / 0.25= 4.2m/s
