Question

newtons second law practice worksheet
formula: f = m × a
use f = ma to solve each problem. show all work, include units, and circle your final answers.
basic problems

1. a 3 kg object accelerates at 4 m/s². what is the net force on it?
2. a 12 n net force causes an object to accelerate at 6 m/s². what is the objects mass?
3. a 5 kg backpack is dropped and accelerates downward at 9.8 m/s². what is the weight of the backpack?
4. a 2 kg cart experiences a 10 n net force. what is its acceleration?
5. a 0.5 kg soccer ball accelerates at 30 m/s² when kicked. what net force acted on it?

Explanation:

Step1: Substitute values into \(F = ma\)

For problem 1: \(m = 3\space kg\), \(a=4\space m/s^{2}\). Then \(F=(3\space kg)\times(4\space m/s^{2})\)

Step2: Calculate the result

\(F = 12\space N\)

For problem 2: Rearrange \(F = ma\) to \(m=\frac{F}{a}\). Given \(F = 12\space N\), \(a = 6\space m/s^{2}\). Then \(m=\frac{12\space N}{6\space m/s^{2}}\)

Step3: Calculate the result

\(m = 2\space kg\)

For problem 3: Use \(F = ma\) (weight is a force). \(m = 5\space kg\), \(a=9.8\space m/s^{2}\). Then \(F=(5\space kg)\times(9.8\space m/s^{2})\)

Step4: Calculate the result

\(F = 49\space N\)

For problem 4: Rearrange \(F = ma\) to \(a=\frac{F}{m}\). Given \(F = 10\space N\), \(m = 2\space kg\). Then \(a=\frac{10\space N}{2\space kg}\)

Step5: Calculate the result

\(a = 5\space m/s^{2}\)

For problem 5: Use \(F = ma\). \(m = 0.5\space kg\), \(a = 30\space m/s^{2}\). Then \(F=(0.5\space kg)\times(30\space m/s^{2})\)

Step6: Calculate the result

\(F = 15\space N\)

Answer:

1. \(12\space N\)
2. \(2\space kg\)
3. \(49\space N\)
4. \(5\space m/s^{2}\)
5. \(15\space N\)