Question

calculations: solve for each problems below. you must show your work and include the correct units to receive full credit.
f = ma

1. 175n of force is pushing a 25 kg mass. what is its acceleration?
2. what is the mass of an object accelerating at 10 m/s² with 900n of force?
3. how much force is needed to accelerate a 1,800 kg car at a rate of 2.5 m/s²?
4. what is the acceleration of a bowling ball with a mass of 14 kg traveling with a force of 28 n?

Explanation:

Problem 17

Step1: Rearrange the formula \(F = ma\) to solve for \(a\)

We get \(a=\frac{F}{m}\)

Step2: Substitute \(F = 175N\) and \(m = 25kg\) into the formula

\(a=\frac{175N}{25kg}\)

Step3: Calculate the value

\(a = 7m/s^{2}\)

Step1: Rearrange the formula \(F = ma\) to solve for \(m\)

We get \(m=\frac{F}{a}\)

Step2: Substitute \(F = 900N\) and \(a = 10m/s^{2}\) into the formula

\(m=\frac{900N}{10m/s^{2}}\)

Step3: Calculate the value

\(m = 90kg\)

Step1: Use the formula \(F = ma\)

Substitute \(m = 1800kg\) and \(a=2.5m/s^{2}\)
\(F=(1800kg)\times(2.5m/s^{2})\)

Step2: Calculate the value

\(F = 4500N\)

Answer:

\(7m/s^{2}\)

Problem 18