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Physics

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\frac{1}{2}mv^2$$

Step 1: Identify the given information. The problem states that a 2.0 kg object is moving at 5.0 m/s.

Step 2: Determine what needs to be calculated. We need to find the kinetic energy of the object.

Step 3: Recall the formula for kinetic energy. The formula for kinetic energy (KEKE) is: KE=12mv2KE = \frac{1}{2}mv^2 where mm is the mass and vv is the velocity.

Step 4: Substitute the given values into the formula. m=2.0kgm = 2.0 \, \text{kg} v=5.0m/sv = 5.0 \, \text{m/s} KE=12(2.0kg)(5.0m/s)2KE = \frac{1}{2}(2.0 \, kg)(5.0 \, m/s)^2

Step 5: Calculate the square of the velocity. (5.0m/s)2=25.0m2/s2(5.0 \, m/s)^2 = 25.0 \, m^2/s^2

Step 6: Perform the multiplication. KE=12(2.0kg)(25.0m2/s2)KE = \frac{1}{2}(2.0 \, kg)(25.0 \, m^2/s^2) KE=(1.0kg)(25.0m2/s2)KE = (1.0 \, kg)(25.0 \, m^2/s^2) KE=25.0kgm2/s2KE = 25.0 \, kg \cdot m^2/s^2

Step 7: State the final answer with the correct units. The unit kgm2/s2\text{kg} \cdot m^2/s^2 is equivalent to Joules (J). KE=25.0JKE = 25.0 \, \text{J}

The kinetic energy of the object is 25.0 J.

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Identify the given information. The problem states that a 2.0 kg object is moving at 5.0 m/s.

Solve science problem
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Identify the given information. The problem states that a 2.0 kg object is moving at 5.0 m/s. Step 2: Determine what needs to be calculated. We need to find the kinetic energy of the object. Step 3: Recall the formula for kinetic energy. The formula for kinetic energy (KE) is: KE = (1)/(2)mv^2 where m is the mass and v is the velocity. Step 4: Substitute the given values into the formula. m = 2.0 \, kg v = 5.0 \, m/s KE = (1)/(2)(2.0 \, kg)(5.0 \, m/s)^2 Step 5: Calculate the square of the velocity. (5.0 \, m/s)^2 = 25.0 \, m^2/s^2 Step 6: Perform the multiplication. KE = (1)/(2)(2.0 \, kg)(25.0 \, m^2/s^2) KE = (1.0 \, kg)(25.0 \, m^2/s^2) KE = 25.0 \, kg · m^2/s^2 Step 7: State the final answer with the correct units. The unit kg · m^2/s^2 is equivalent to Joules (J). KE = 25.0 \, J The kinetic energy of the object is 25.0 J. अगला प्रश्न भेजें 📸