Question

Liz puts a 1 kg weight and a 10 kg on identical sleds. She then applies a 10N force to each sled. Describe why the smaller weight has a larger acceleration. A) There is same amount force is applied to both sleds. B) The acceleration is directly proportional to the force. C) It indicates the extent of the unbalanced forces present. D) Acceleration depends indirectly on the mass of the object.

Answer 1

the answer is D i had the test

Answer 2

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:

`F=ma`

Therefore,

`a=(F)/(m)`

The acceleration a₁ of the mass m₁ =1 kg is given by,

`a_1=(F)/(m_1) \\ =(10N)/(1kg) \\ =10m/s^2`

The acceleration a₂ of the mass m₂=10 kg is given by,

`a_2=(10N)/(10kg) \\ =1m/s^2`

The smaller mass has greater acceleration.

Thus, when the force applied on two bodies of different masses remains constant, then,

`a\alpha  (1)/(m)`

Acceleration is inversely proportional to the mass of the body.