If an object’s velocity increases from 13.2 m/s to 15.1 m/s in 8.0 seconds and experiences a force of 21.0 N, what is the mass of the object?

A.74 kg

B.97 kg

C.66 kg

D.88 kg


To find the mass of the object, we can use **Newton's second law** of motion, which is:

\[
F = ma
\]

where:
- \( F \) is the force (21.0 N),
- \( m \) is the mass (what we need to find),
- \( a \) is the acceleration.

### Step 1: Find the acceleration

We can calculate the acceleration using the change in velocity and the time, since acceleration \( a \) is given by:

\[
a = \frac{\Delta v}{\Delta t}
\]

where:
- \( \Delta v \) is the change in velocity,
- \( \Delta t \) is the time.

The change in velocity (\( \Delta v \)) is:

\[
\Delta v = 15.1 \, \text{m/s} - 13.2 \, \text{m/s} = 1.9 \, \text{m/s}
\]

The time (\( \Delta t \)) is:

\[
\Delta t = 8.0 \, \text{seconds}
\]

Now, calculate the acceleration:

\[
a = \frac{1.9 \, \text{m/s}}{8.0 \, \text{s}} = 0.2375 \, \text{m/s}^2
\]

### Step 2: Use Newton’s second law to find the mass

From \( F = ma \), solve for \( m \):

\[
m = \frac{F}{a}
\]

Substitute \( F = 21.0 \, \text{N} \) and \( a = 0.2375 \, \text{m/s}^2 \):

\[
m = \frac{21.0 \, \text{N}}{0.2375 \, \text{m/s}^2} = 88.42 \, \text{kg}
\]

### Step 3: Conclusion

The closest value to \( 88.42 \, \text{kg} \) is:

\[
\boxed{88 \, \text{kg}}
\]

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Would you like to:

1. Practice more problems involving Newton's second law?
2. Explore real-world applications of force and acceleration?
3. Review how to handle different units in physics problems?
4. Learn more about the relationship between mass, force, and acceleration?
5. Discuss more advanced motion concepts like momentum or energy?

**Tip:** Always check the units carefully when applying physics formulas to ensure consistency!

If an object’s velocity increases from 13.2 m/s to 15.1 m/s in 8.0 seconds and experiences a force of 21.0 N, what is the mass of the object? A.74 kg B.97 kg C.66 kg D.88 kg

This physics problem involves calculating the mass of an object given its change in velocity, the time taken, and the force applied. Using Newton's second law (F = ma) and the acceleration formula (a = Δv / Δt), we determine the mass to be approximately 88 kg. Suitable for high school students studying motion and forces.

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