A boy thrown a ball a mass 300gm with a velocity 25 m/s at an angle of 40 degree with the horizontal what is Kinetic energy of ball and heighest point on the trajectory
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Answer:
Given
Mass = 300 g
Velocity = 25 m/s
θ = 40°
To Find
Kinetic Energy of the ball at the heighest point of trajectory
Solution
☯ Kinetic Energy = ½mv²
☯ v = u cosθ
Where θ is the angle of inclination of the initial Velocity with horizontal component
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✭ According to the Question :
➞ Ke = ½mv²
➞ Ke = ½ × m × (u cosθ)²
m = Mass = 300 g = 300/1000 = 0.3 kg
u = Velocity = 25 m/s
θ = 45°
➞ Ke = ½ × 0.3 × (25 cos 45°)²
➞ Ke = ½ × 0.3 × 625 cos² 40°
➞ Ke = ½ × 0.3 × 625 × 0.586
➞ Ke = 54.937..
➞ Ke = 55 J
∴ The Kinetic Energy of the ball would be 55 J
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