a session W10-Post Energy Item 12 The spring in the figure has a spring constant

Question

a session W10-Post Energy Item 12 The spring in the figure has a spring constant ofl 1000 N/m tis compressed 17.0 cm, then launches a 200 Part A g block. The horizontal suface is frictionless, but the block's coefficient of kinetic friction on the incline is 0 200 What distance d does the block sail through the air? Express your answer with the appropriate units Figure 1) 14.456 m Previous Answers Request Answer 2K incorrect; Try Again; 5 attempts remaining Return to Assignment Provide Feedback Figure 1 of 200g 2.0m 200 g Bo

Explanation / Answer

We know the potential energy stored in the spring will be converted to the block's kinetic energy.

So,

kx2=mv2

1000*0.172=0.2v2

v=12.02m/s

Now net accleration of the block on the incline is,

gsin45+0.2gcos45

=10.394

So applying third equation of motion,

v2=u2+2as

v2=12.022-(2*2*10.394)

v=10.144m/s

Now we know that range of a projectile is,

R=u2sin2/g

R=10.1442/9.81

=10.4897m

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