If a 2 kg object is dropped from a height of 5 m, what is its velocity just befo
Practice Questions
Q1
If a 2 kg object is dropped from a height of 5 m, what is its velocity just before it hits the ground? (g = 10 m/s²)
10 m/s
5 m/s
15 m/s
20 m/s
Questions & Step-by-Step Solutions
If a 2 kg object is dropped from a height of 5 m, what is its velocity just before it hits the ground? (g = 10 m/s²)
Step 1: Identify the mass of the object. In this case, the mass is 2 kg, but we will not need it for this calculation.
Step 2: Identify the height from which the object is dropped. Here, the height is 5 meters.
Step 3: Identify the acceleration due to gravity (g). In this problem, g is given as 10 m/s².
Step 4: Use the formula for velocity just before hitting the ground, which is v = sqrt(2gh).
Step 5: Substitute the values into the formula: v = sqrt(2 * 10 * 5).
Step 6: Calculate the value inside the square root: 2 * 10 * 5 = 100.
Step 7: Take the square root of 100 to find v: sqrt(100) = 10 m/s.
Step 8: Conclude that the velocity of the object just before it hits the ground is 10 m/s.
Energy Conservation – The principle that the total mechanical energy (potential + kinetic) in a closed system remains constant if only conservative forces are acting.
Kinematics – The study of motion without considering the forces that cause it, often involving equations that relate displacement, velocity, acceleration, and time.