Answer:
40 N/m
Explanation:
The diagram attached is used to answer the question
We know from Hooke's law that extension is directly proportional to the applied force hence
F=kx where x is extension, F is applied force and k is the spring constant. Making k the subject of the formula then
From the attached diagram extension is given by subtracting unstretched spring from stretched spring hence extension, x=1-0.5=0.5m
Substituting 20 N for F and 0.5 m for x then
Answer:
b) 105220.8 m
c) 65.38 miles
d) Kenneth's home
Explanation:
Velocity of Sarah = 31 m/s east
Velocity of Kenneth = 65 mph = 65×(1609.34/3600) m/s west
Time in seconds = 29.2×60 = 1752 s
Displacement = Velocity × time
Displacement of Sarah = 31×1752 = 54312 m
Displacement of Kenneth = 65×(1609.34/3600)×1752 = 50908.8 m
b) So, distance between their homes in meters is 54312 m + 50908.8 m = 105220.8 m
c) Converting to miles
Their homes are 65.38 miles apart
d) They met closer to Kenneth's house (50908.8 m)
