A small steel ball bearing with a mass of 17.0 g is on a shortcompressed spring.

Question

A small steel ball bearing with a mass of 17.0 g is on a shortcompressed spring. When aimed vertically and suddenly released, thespring sends the bearing to a height of 1.17 m. Calculate thehorizontal distance the ball would travel if the same spring wereaimed 40.0o from the horizontal.

Explanation / Answer

1/2mv*v=mgh v=2gh=2*9.8*1.17=>4.788m/sec hence initial velocity of projection=4.788m/sec horizontal range when the ball is projected at an angle of40.00=u*usin2/g=4.788*4.788*0.9848/9.8=                                                                                                  =2.303m

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