Answer to Question #159321 in Mechanical Engineering for loy

Question #159321

1-     A p projectile is launched with an initial seed of 200 m/s at an angle of 60 with respect to the horizontal> compute the range R as measured up the incline


1
Expert's answer
2021-02-01T09:27:48-0500


Given "v=200m\/s"

From the figure above, the horizontal distance, "X=Rcos 20=0.94R"

Vertical distance, "Y=Rsin20=0.342R"

Then, "X=vcos60\\times t \\implies t=\\frac{0.94R}{200cos60}=0.0094R"

Y direction

"Y=v_{y0}t-0.5gt^2"

"0.342R=vsin60\\times t-0.5t^2"

"0.342R=200sin60\\times 0.0094R-0.5\\times 9.81\\times 0.0094^2"

"R=2967.2 m"


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