the correct answer is D- Acceleration depends indirectly on the mass.
According to Newton's second law, the force F, the mass m and the acceleration a are related as follows:
[tex]F=ma[/tex]
Therefore,
[tex]a=\frac{F}{m}[/tex]
The acceleration a₁ of the mass m₁ =1 kg is given by,
[tex]a_1=\frac{F}{m_1} \\ =\frac{10N}{1kg} \\ =10m/s^2[/tex]
The acceleration a₂ of the mass m₂=10 kg is given by,
[tex]a_2=\frac{10N}{10kg} \\ =1m/s^2[/tex]
The smaller mass has greater acceleration.
Thus, when the force applied on two bodies of different masses remains constant, then,
[tex]a\alpha \frac{1}{m}[/tex]
Acceleration is inversely proportional to the mass of the body.
