A 358 N barbell is lifted by a weightlifter 2.8 meters in 40.8 seconds.  What is the power of the weightlifter?

P = 
 units

To calculate the power of the weightlifter, we can use the formula for power:

\[
P = \frac{W}{t}
\]

where:
- \(P\) is the power,
- \(W\) is the work done, and
- \(t\) is the time taken.

First, we need to calculate the work done \(W\). The work done in lifting the barbell can be calculated using the formula:

\[
W = F \times d
\]

where:
- \(F\) is the force (weight of the barbell, which is 358 N),
- \(d\) is the distance lifted (2.8 m).

Substituting the values:

\[
W = 358 \, \text{N} \times 2.8 \, \text{m} = 1002.4 \, \text{J}
\]

Now, we can calculate the power using the time \(t = 40.8\) seconds:

\[
P = \frac{1002.4 \, \text{J}}{40.8 \, \text{s}} \approx 24.57 \, \text{W}
\]

Thus, the power of the weightlifter is approximately:

\[
P \approx 24.57 \, \text{W}
\]

Would you like more details or do you have any questions? Here are some related questions for further exploration:

1. How does power change if the weightlifter lifts the barbell faster?
2. What is the efficiency of a weightlifter if their body consumes 200 W of energy while lifting?
3. How does increasing the weight affect the power output required?
4. What are the units of work and power in different systems (e.g., SI, imperial)?
5. Can you explain the concept of mechanical advantage in weightlifting? 

**Tip:** To increase power output, focus on reducing the time taken to perform the lift while maintaining the same weight.

A 358 N barbell is lifted by a weightlifter 2.8 meters in 40.8 seconds. What is the power of the weightlifter?

P = units

Learn how to calculate the power of a weightlifter lifting a 358 N barbell over a distance of 2.8 meters in 40.8 seconds. This solution includes essential physics concepts like power, work, and force, suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation