Calculate the velocity of a test sled that Is propelled by a device that has 2500 joules of available energy to propel a sled of 50 kg mass

Options

A. 10 m/sec
B. 25 m/sec
C. 50 m/sec
D. 1 m/sec.

Explanation

To solve the problem of calculating the velocity of a test sled propelled by a device with 2500 joules of energy, we can use the formula for kinetic energy. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Kinetic Energy Formula
The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2} m v^2 \]
where:
- \( KE \) is the kinetic energy,
- \( m \) is the mass of the object,
- \( v \) is the velocity of the object.

### Step 2: Identify the Given Values
From the problem, we have:
- Kinetic Energy, \( KE = 2500 \) joules,
- Mass, \( m = 50 \) kg.

### Step 3: Rearrange the Kinetic Energy Formula
We want to find the velocity \( v \). Rearranging the formula for kinetic energy gives us:
\[ v^2 = \frac{2 \cdot KE}{m} \]

### Step 4: Substitute the Known Values
Now, substitute the known values into the rearranged formula:
\[ v^2 = \frac{2 \cdot 2500 \, \text{J}}{50 \, \text{kg}} \]

### Step 5: Calculate the Right Side
Calculating the right side:
\[ v^2 = \frac{5000}{50} = 100 \]

### Step 6: Take the Square Root
To find \( v \), take the square root of both sides:
\[ v = \sqrt{100} = 10 \, \text{m/s} \]

### Conclusion
The velocity of the test sled is \( 10 \, \text{m/s} \).

### Final Answer
The correct answer is \( 10 \, \text{m/s} \).

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