Question

A girl is helping her brother slide their dog m = 25kg along an icy frictionless sidewalk. The boy is pulling a rope T = 10N tied to the dogs collar and the girl is pushing with 7N of force. What is the Net force on the dog and it's acceleration?

Answer 1

0.68 m/s²

Step-by-step explanation:

Given:

Mass of the dog, m = 25 kg

Tension in the rope = 10 N

Force applied by the girl on the dog = 7 N

Now,

since the boy is pulling the dog and the girl is pushing the dog

Thus,

The net force on the dog = 10 N + 7 N = 17 N

also,

Net force on the dog = Mass × Acceleration

thus,

25 kg × Acceleration = 17 N

or

Acceleration =
`\frac{\textup{17 N}}{\textup{25 kg}}`

or

Acceleration = 0.68 m/s²