A 1.0-kg block is released from rest at the top of a frictionless incline that makes an angle of 37 with the horizontal. An unknown distance down the incline from the point of release, there is a spring with k = 200 N/m. It is observed that the mass is brought momentarily to rest after compressing the spring 0.20 m. How far does the mass slide from the point of release until it is brought momentarily to rest?
a. 0.98 m
b. 0.68 m
c. 0.82 m
d. 0.55 m
e. 0.20 m
Question 2
A block (mass = 4.0 kg) sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 100 N/m) which has its other end fixed. If the maximum distance the block slides from the equilibrium position is equal to 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?
a. 71 cm/s
b. 60 cm/s
c. 80 cm/s
d. 87 cm/s
e. 57 cm/s
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