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A 2 kg object is thrown upwards with a velocity of 10 m/s. What is its maximum h
Practice Questions
Q1
A 2 kg object is thrown upwards with a velocity of 10 m/s. What is its maximum height? (g = 9.8 m/s²)
5.1 m
10.2 m
20.4 m
15.3 m
Questions & Step-by-Step Solutions
A 2 kg object is thrown upwards with a velocity of 10 m/s. What is its maximum height? (g = 9.8 m/s²)
Steps
Concepts
Step 1: Identify the initial velocity (u) of the object, which is given as 10 m/s.
Step 2: Recognize that at the maximum height, the final velocity (v) will be 0 m/s.
Step 3: Use the formula v² = u² - 2gh to find the maximum height (h).
Step 4: Substitute the values into the formula: 0 = (10)² - 2 * 9.8 * h.
Step 5: Calculate (10)², which is 100.
Step 6: Rewrite the equation: 0 = 100 - 19.6h.
Step 7: Rearrange the equation to solve for h: 19.6h = 100.
Step 8: Divide both sides by 19.6 to find h: h = 100 / 19.6.
Step 9: Calculate the value of h, which is approximately 5.1 m.
Kinematics
– The study of motion, particularly the equations that describe the relationship between velocity, acceleration, and displacement.
Energy Conservation
– Understanding that the kinetic energy of the object is converted into potential energy at the maximum height.
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