Question

You push A DIFFERENT FRIEND on this swing.

She (her body) has a mass of 70kg.
She (her body) ACCELERATES(goes faster) at a rate of 4/Ms(2)
The FORCE you used to push A DIFFERENT FRIEND is ________

Answer 1

The force you used to push A DIFFERENT FRIEND is 280 N.

Step-by-step explanation:

When pushing A DIFFERENT FRIEND on the swing, the force applied is determined by Newton's second law, which states that force (F) is equal to mass (m) multiplied by acceleration (a). Mathematically, this is expressed as F = ma. In this scenario, A DIFFERENT FRIEND's mass (m) is 70 kg, and her acceleration (a) is 4 m/s². Plugging these values into the formula, we get:

`\[ F = m \cdot a \]\[ F = 70 \, \text{kg} \cdot 4 \, \text{m/s}^2 \]\[ F = 280 \, \text{N} \]`

Thus, the force exerted to make A DIFFERENT FRIEND accelerate at a rate of 4 m/s² is 280 Newtons. This force is necessary to overcome the inertia of her mass and produce the observed acceleration.

It's important to note that this force is applied in the direction of the acceleration. Newton's third law of motion also comes into play here, indicating that there is an equal and opposite reaction force from A DIFFERENT FRIEND's body back onto the person pushing. This reciprocal force ensures the interaction conforms to the conservation of momentum and satisfies Newton's laws of motion. In summary, the force of 280 N is what's needed to propel A DIFFERENT FRIEND forward on the swing, considering her mass and the desired acceleration.