calculate the potential energy possessed by a cricket ball 160g when it is at a height of 8m above the ground take the volume of g as 10m/sec with solution
Answers
Total energy at the time of projection
=½ mv² = ½ × 0.1 (20)² = 20 J
Half way up, P.E becomes half the P.E at the top i.e .
P.E .= 20/2 = 10 J therefore K.E. = 20 -10 = 10 J
Answer :
➥ The potential energy possessed by a cricket ball = 12.8 J
Given :
➤ Mass of a cricket ball (m) = 160 g
➤ Height (h) = 8 m
➤ Acceleration due to gravity (g) = 10 m/s²
To Find :
➤ Potential energy possessed by a cricket ball (P.E) = ?
Solution :
To find the potential energy possessed by a cricket ball, first we need tk convert the mass of a cricket ball (m) gram into kg, then after we find the potential energy possessed by a cricket ball from the potential energy formula.
◈ Mass (m) = 160 g = 160/1000 = 0.16 kg
As we know that
→ P.E = mgh
→ P.E = 0.16 × 8 × 10
→ P.E = 1.28 × 10
→ P.E = 12.8 J
Hence, the potential energy possessed by a cricket ball is 12.8 J.
Some related formulae :
⪼ Kinetic energy = ½mv²
⪼ Potential energy = mgh
⪼ Work done = Force × Displacement
Where,
- m is the mass.
- v is the velocity.
- g is the acceleration due to gravity.
- h is the height.