determine the final velocity of a proton that has an initial foreward velocity of 2.35x10^5 m/s and then is accelerated uniformly in an electric feild at the rate of -1.10x10^12m/s for 1.50x10^-7

To determine the final velocity of a proton subjected to uniform acceleration, we can use the kinematic equation:

\[
v_f = v_i + a \cdot t
\]

where:
- \(v_f\) is the final velocity (what we need to find),
- \(v_i = 2.35 \times 10^5 \, \text{m/s}\) is the initial velocity of the proton,
- \(a = -1.10 \times 10^{12} \, \text{m/s}^2\) is the acceleration due to the electric field,
- \(t = 1.50 \times 10^{-7} \, \text{s}\) is the time over which the acceleration is applied.

### Calculation:

Let's plug in the values and calculate:

\[
v_f = (2.35 \times 10^5) + (-1.10 \times 10^{12}) \times (1.50 \times 10^{-7})
\]

Now, I'll compute this.The final velocity of the proton is \( 7.00 \times 10^4 \, \text{m/s} \) or 70,000 m/s.

Would you like further details or explanations?

Here are 5 related questions for further practice:
1. What is the displacement of the proton during this time interval?
2. How would the final velocity change if the acceleration were positive instead of negative?
3. What is the kinetic energy of the proton before and after the acceleration?
4. How long would it take for the proton to come to rest under the same conditions?
5. What would be the final velocity if the initial velocity were doubled?

**Tip:** Always check the signs of acceleration and velocity, as they indicate the direction of motion.

Determine the final velocity of a proton that has an initial forward velocity of 2.35x10^5 m/s and then is accelerated uniformly in an electric field at the rate of -1.10x10^12 m/s² for 1.50x10^-7 seconds.

Learn how to determine the final velocity of a proton with an initial velocity of 2.35x10^5 m/s under uniform acceleration of -1.10x10^12 m/s² for 1.50x10^-7 seconds. This problem covers key kinematic concepts and is suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation