Respuesta :
kinetic energy is given as
KE = (0.5) m v²
given that : v = speed of the bottle in each case = 4 m/s
when m = 0.125 kg
KE = (0.5) m v² = (0.5) (0.125) (4)² = 1 J
when m = 0.250 kg
KE = (0.5) m v² = (0.5) (0.250) (4)² = 2 J
when m = 0.375 kg
KE = (0.5) m v² = (0.5) (0.375) (4)² = 3 J
when m = 0.0.500 kg
KE = (0.5) m v² = (0.5) (0.500) (4)² = 4 J
a. When the mass of the bottle is 0.125 kg, its kinetic energy is [tex]1 \;Kgm^2/s^2[/tex].
b. When the mass of the bottle is 0.250 kg, its kinetic energy is [tex]2 \;Kgm^2/s^2[/tex].
c. When the mass of the bottle is 0.375 kg, its kinetic energy is [tex]3 \;Kgm^2/s^2[/tex].
d. When the mass of the bottle is 0.500 kg, its kinetic energy is [tex]4 \;Kgm^2/s^2[/tex].
Given the following data:
- Height = 0.8 meters
- Velocity = 4 m/s.
To find the kinetic energy of the bottle:
Kinetic energy refers to an energy that is possessed by a physical object or body due to its motion.
Mathematically, kinetic energy is calculated by using the formula;
[tex]K.E = \frac{1}{2} MV^2[/tex]
Where:
- K.E is the kinetic energy.
- M is the mass of an object.
- V is the velocity of an object.
a. When the mass of the bottle is 0.125 kg:
[tex]K.E = \frac{1}{2} \times 0.125 \times 4^2\\\\K.E = 0.0625 \times 16[/tex]
Kinetic energy = [tex]1 \;Kgm^2/s^2[/tex].
b. When the mass of the bottle is 0.250 kg:
[tex]K.E = \frac{1}{2} \times 0.250 \times 4^2\\\\K.E = 0.125 \times 16[/tex]
Kinetic energy = [tex]2 \;Kgm^2/s^2[/tex].
c. When the mass of the bottle is 0.375 kg:
[tex]K.E = \frac{1}{2} \times 0.375 \times 4^2\\\\K.E = 0.1875 \times 16[/tex]
Kinetic energy = [tex]3 \;Kgm^2/s^2[/tex].
d. When the mass of the bottle is 0.500 kg:
[tex]K.E = \frac{1}{2} \times 0.500 \times 4^2\\\\K.E = 0.250 \times 16[/tex]
Kinetic energy = [tex]4 \;Kgm^2/s^2[/tex].
Read more: https://brainly.com/question/23153766