https://r2.erweima.ai/mathbot/image/1723670850810invcu9fq.jpg

The lever system above requires 150 joules of work to move the load.
The movement takes 3 seconds

Calculate the power required to move the load.

= Answer
W



Calculate the energy used in kilo joules to run this lever system for an hour.
There is no downtime between lever movements.

= Answer
kJ

### Part 1: Power Required to Move the Load

The formula for power \( P \) is given by:

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

Where:
- \( W \) is the work done in joules (J).
- \( t \) is the time taken in seconds (s).

Given:
- Work done \( W = 150 \) J
- Time \( t = 3 \) s

Substitute the values:

\[
P = \frac{150 \text{ J}}{3 \text{ s}} = 50 \text{ W}
\]

**Answer**: The power required to move the load is **50 W**.

### Part 2: Energy Used in One Hour

To calculate the energy used in kilojoules (kJ) over one hour, we'll first calculate the total energy in joules and then convert it to kilojoules.

1. **Energy per movement**:  
   Energy used per movement is \( 150 \) J (as given).

2. **Number of movements per hour**:  
   Since each movement takes \( 3 \) seconds, the number of movements in one hour (3600 seconds) is:

   \[
   \text{Number of movements} = \frac{3600 \text{ s}}{3 \text{ s/movement}} = 1200 \text{ movements}
   \]

3. **Total Energy in Joules**:

   \[
   \text{Total Energy} = 1200 \times 150 \text{ J} = 180000 \text{ J}
   \]

4. **Convert Joules to Kilojoules**:

   \[
   \text{Total Energy in kJ} = \frac{180000 \text{ J}}{1000} = 180 \text{ kJ}
   \]

**Answer**: The energy used in kilojoules to run this lever system for an hour is **180 kJ**.

---

Would you like more details or have any questions?

### Related Questions:
1. What is the efficiency of this lever system if the input energy is known?
2. How would the power required change if the time taken for each movement increased?
3. What is the significance of the fulcrum position in the lever system?
4. How can you calculate the mechanical advantage of this lever?
5. What is the relationship between power and torque in a lever system?
6. How would you calculate the velocity ratio of this lever?
7. What happens to the work done if the effort distance is doubled?
8. How can we calculate the effort force required if only the mechanical advantage is known?

### Tip:
Always ensure that you convert all time units to seconds and energy units to joules or kilojoules before performing calculations related to power and energy.

Learn how to calculate the power required and energy used in a lever system. This problem involves determining the power using work and time, and calculating the energy consumption over an hour with no downtime between movements. Suitable for students and professionals interested in mechanical systems and energy calculations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation