Answer :
First, we note that the mass of the ball is given in grams and needs to be converted to kilograms. Since
[tex]$$ 1\,\text{kg} = 1000\,\text{g}, $$[/tex]
the mass in kilograms is
[tex]$$ m = \frac{140\,\text{g}}{1000} = 0.14\,\text{kg}. $$[/tex]
Next, the acceleration is given as
[tex]$$ a = 25\,\text{m/s}^2. $$[/tex]
The force needed is calculated using Newton's second law:
[tex]$$ F = ma. $$[/tex]
Substitute the values:
[tex]$$ F = 0.14\,\text{kg} \times 25\,\text{m/s}^2 = 3.5\,\text{N}. $$[/tex]
Thus, the answer is [tex]$3.5\,\text{N}$[/tex].
[tex]$$ 1\,\text{kg} = 1000\,\text{g}, $$[/tex]
the mass in kilograms is
[tex]$$ m = \frac{140\,\text{g}}{1000} = 0.14\,\text{kg}. $$[/tex]
Next, the acceleration is given as
[tex]$$ a = 25\,\text{m/s}^2. $$[/tex]
The force needed is calculated using Newton's second law:
[tex]$$ F = ma. $$[/tex]
Substitute the values:
[tex]$$ F = 0.14\,\text{kg} \times 25\,\text{m/s}^2 = 3.5\,\text{N}. $$[/tex]
Thus, the answer is [tex]$3.5\,\text{N}$[/tex].
