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A 15 kg object is moving at a speed of 4 m/s. What is its kinetic energy?
A 15 kg object is moving at a speed of 4 m/s. What is its kinetic energy?
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Practice Questions
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Q1
A 15 kg object is moving at a speed of 4 m/s. What is its kinetic energy?
120 J
240 J
480 J
60 J
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Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 15 kg × (4 m/s)² = 0.5 × 15 × 16 = 120 J.
Questions & Step-by-step Solutions
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Q
Q: A 15 kg object is moving at a speed of 4 m/s. What is its kinetic energy?
Solution:
Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 15 kg × (4 m/s)² = 0.5 × 15 × 16 = 120 J.
Steps: 8
Show Steps
Step 1: Identify the mass (m) of the object. In this case, m = 15 kg.
Step 2: Identify the speed (v) of the object. Here, v = 4 m/s.
Step 3: Use the formula for kinetic energy (KE), which is KE = 0.5 × m × v².
Step 4: Calculate v² (the speed squared). So, v² = (4 m/s) × (4 m/s) = 16 m²/s².
Step 5: Substitute the values into the kinetic energy formula: KE = 0.5 × 15 kg × 16 m²/s².
Step 6: Calculate 0.5 × 15 = 7.5.
Step 7: Now multiply 7.5 by 16: 7.5 × 16 = 120.
Step 8: Therefore, the kinetic energy of the object is 120 Joules (J).
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