Respuesta :
Given: Kinetic energy K.E = 18 J;
Velocity = 3 m/s
Formula: K.E = 1/2 mV²
m = 2 K.E/V²
m = 2(18 Kg.m²/s²)/(3 m/s)²
m = 36 Kg.m²/s²/9 m²/s²
m = 4 Kg
Velocity = 3 m/s
Formula: K.E = 1/2 mV²
m = 2 K.E/V²
m = 2(18 Kg.m²/s²)/(3 m/s)²
m = 36 Kg.m²/s²/9 m²/s²
m = 4 Kg
The mass of a rolling ball with kinetic energy of 18 joules and velocity of 3m/s is 4kg.
HOW TO CALCULATE MASS?
The mass of a moving object can be calculated by using the following expression:
K.E = ½ mv²
Where;
- K.E = kinetic energy (Joules)
- m = mass (kg)
- v = velocity (m/s)
According to this question, rolling ball has 18 joules of kinetic energy and is rolling at 3m/s. The mass is calculated as follows:
18 = ½ × m × 3²
18 = ½ × 9m
36 = 9m
m = 4kg
Therefore, the mass of a rolling ball with kinetic energy of 18 joules and velocity of 3m/s is 4kg.
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