A small ball thrown with an initial velocity u directed at an angle θ $$=$$ $$37$$° above the horizontal collides inelastically (e$$ $$=$$ $$1/4) with a vertical massive wall moving with a uniform horizontal velocity $$u/5$$ towards ball. After collision with the wall, the ball returns to the point from where it was thrown. Neglect friction between ball and wall. The time t from beginning of motion of the ball till the moment of its impact with the wall is (tan37$$° $$=$$ $$3/4)

Question

A small ball thrown with an initial velocity u directed at an angle θ $$=$$ $$37$$° above the horizontal collides inelastically (e$$ $$=$$ $$1/4) with a vertical massive wall moving with a uniform horizontal velocity $$u/5$$ towards ball. After collision with the wall, the ball returns to the point from where it was thrown. Neglect friction between ball and wall. The time t from beginning of motion of the ball till the moment of its impact with the wall is (tan37$$° $$=$$ $$3/4)

Infinity Learn · Accepted Answer

Since the wall is frictionless , time of flight T $$=2u$$ $$sin$$ $$370g=6u5gHorizontal$$ component of velocity of the ball relative to the wall just after the impact $$=eurel=14(u5+u$$ $$cos$$ $$370)=u4Therefore$$ after the impact ,horizontal component of velocity of the ball relative to the ground $$=$$ $$u5+u4=9u20So$$,$$($$ u $$cos$$ $$370+u5)t=9u20(6u5g-t)$$ ⇒$$t=54$$ $$u145$$ g

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!