Question

1. a trainer is training a horse for the kentucky derby. the trainer knows the horse needs to have an opening acceleration of 10 m/s^2. if the horse has a mass of 450 kilograms, how much force will the horse need to produce to reach the needed acceleration?

3500 n
2500 n
3000 n
4500 n

Explanation:

Step1: Recall Newton's Second Law

Newton's second law of motion states that the force \( F \) acting on an object is equal to the mass \( m \) of the object multiplied by its acceleration \( a \), i.e., \( F = ma \).

Step2: Identify given values

The mass \( m \) of the horse is \( 450 \) kilograms, and the acceleration \( a \) is \( 10 \, \text{m/s}^2 \).

Step3: Calculate the force

Substitute the given values into the formula: \( F = 450 \, \text{kg} \times 10 \, \text{m/s}^2 \).
Calculating this, we get \( F = 4500 \, \text{N} \).

Answer:

4500 N (corresponding to the option with 4500 N)