The invention of the cannon in the fourteenth century made the catapult unnecessary and ended the safety of castle walls. stone walls were no match for balls shot from cannons. suppose a cannonball of mass 5.00 kg is launched from a height of 1.10 m, at an angle of elevation of 30.0° with an initial velocity of 51.3 m/s, toward a castle wall of height 30.0 m and located 219 m away from the cannon. the range of a projectile is defined as the horizontal distance traveled when the projectile returns to its original height. what will be the range reached by the projectile if it is not intercepted by the wall? (b) if the cannonball travels far enough to hit the wall, find the height at which it strikes.

Explanation:

Given

mass of cannon=5 kg

Initial launch height =1.10 m

launch angle

initial velocity=51.3 m/s

height of wall=30 m

distance of wall=219 m

Range of Projectile

Trajectory of Projectile is given by

For x=219 m

i.e. cannon will hit at height of 7.37 m w.r.t initial launch

Height from ground 7.37+1.1=8.47 m

Thus cannon will strike at a height of 8.47 m from ground

an ion is a charged atom or molecule. it is charged because the number of electrons do not equal the number of protons in the atom or molecule. an atom can acquire a positive charge or a negative charge depending on whether the number of electrons in an atom is greater or less then the number of protons in the atom.

54 degrees incident angle = reflected angle

angle is from normal turned to line of ray