Question

1. a 15 n force is applied to an object of 5 kg. what is its acceleration?
2. a 9 kg box is pushed with a force of 45 n. what acceleration does it have?
3. a 10 kg object has a net force of 25 n acting on it. find the acceleration.
4. a net force of 80 n is applied to a 20 kg object. what acceleration results?
5. what is the net force on a 6 kg object that accelerates at 2.5 m/s²?

Explanation:

Step1: Use Newton's second law \(F = ma\), solve for \(a\) (\(a=\frac{F}{m}\))

For problem 6: \(F = 15N\), \(m = 5kg\), so \(a=\frac{15}{5}\)
For problem 7: \(F = 45N\), \(m = 9kg\), so \(a=\frac{45}{9}\)
For problem 8: \(F = 25N\), \(m = 10kg\), so \(a=\frac{25}{10}\)
For problem 9: \(F = 80N\), \(m = 20kg\), so \(a=\frac{80}{20}\)

Step2: Calculate the values

Problem 6: \(\frac{15}{5}=3\)
Problem 7: \(\frac{45}{9} = 5\)
Problem 8: \(\frac{25}{10}=2.5\)
Problem 9: \(\frac{80}{20}=4\)
For problem 10: Use \(F=ma\), \(m = 6kg\), \(a = 2.5m/s^{2}\), so \(F=6\times2.5\)
Calculate \(6\times2.5 = 15\)

Answer:

1. \(3m/s^{2}\)
2. \(5m/s^{2}\)
3. \(2.5m/s^{2}\)
4. \(4m/s^{2}\)
5. \(15N\)