Answer:
(a). The maximum height by first ball is
The maximum height by second ball is
(b). The total mechanical energy of the ball–Earth system at the maximum height for each ball is
Explanation:
Given that,
Mass of cannonball = 20.0 kg
Speed = 1000 m/s
Angle with horizontal= 37.08
Fired angle = 90.08
We need to calculate the speed of the ball
Using formula of speed
Put the value into the formula
(a). We need to calculate the maximum height by first ball
Using conservation of energy
Put the value into the formula
We need to calculate the maximum height by second ball
Using conservation of energy
Put the value into the formula
(b). We need to calculate the total mechanical energy of the ball–Earth system at the maximum height for each ball
Using formula of energy
Hence, (a). The maximum height by first ball is
The maximum height by second ball is
(b). The total mechanical energy of the ball–Earth system at the maximum height for each ball is