HOMEWORK PROBLEM: Myth Busters Cannon A estates is fired at a large target. Set
ID: 1410627 • Letter: H
Question
HOMEWORK PROBLEM: Myth Busters Cannon A estates is fired at a large target. Set up the target carefully or the shot might go ?yen.. The end of the cannon is 1.2 m above the ground. A target with a height of 2.8 m is placed at a height such that the bottom of the target is 4.5 m above the ground. We want to hit the center of the target. The cannonball has a mass of 3.0 kg. The cannon shoot a cannonball at an angle of 4.3 degrees above the horizontal with a velocity of 160 mis forward. Find the vertical and horizontal velocities of the cannonball after it leaves the cannon. Find the net horizontal and vertical forces on the cannonball AFTER it leaves the cannon Find the time that it will take the cannonball to reach the center of the target. Find the distance from the cannon that the target should be placed.Explanation / Answer
This problem belong to motion in two dimensional
(A) we find the velocity of cannon ball
The horizontal velocity Vx=V cos(theta)
=160 cos(4.3°)
=159.55 m/s
The vertical velocity Vy=V sin(theta)
=160×sin(4.3)
=12 m/s
(B) ans
The horizontal force Fx=mg cos(4.3)
=3×9.8×cos(4.3)=29.32 N
The vertical force Fy= mg sin(4.3)
=3×9.8×sin(4.3) =2.2N
(C)
Centre of target h2=4.5+2.8=7.3 m
The time to reach the cannon ball at the centre of target is
=2(h2-h1)/g
=2(7.3-1.2)/9.8
=1.12 s
(D) ans
The distance of cannon ball travel=velocity ×time
=160×1.12=179.2 m
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