A boy weithing 40 kg makes a high jump of 1.5 m .What is his: (1) Kine...
Kinetic energy will be 0 at the highest point because we throw vertically upward then velocity will be also 0 at the highest point.
Potential energy=mgh
=40×9.8×1.5
=588 j (Ans).
A boy weithing 40 kg makes a high jump of 1.5 m .What is his: (1) Kine...
Kinetic Energy at the Highest Point
To calculate the kinetic energy at the highest point of the jump, we need to use the formula:
Kinetic Energy (KE) = 1/2 * mass * velocity^2
However, we don't have the velocity of the boy at the highest point. To find it, we can use the conservation of energy principle. The total mechanical energy of the system is conserved throughout the jump, which consists of the sum of potential energy and kinetic energy.
At the highest point of the jump, all of the kinetic energy is converted into potential energy, and vice versa. Therefore, we can equate the initial kinetic energy to the potential energy at the highest point.
Potential Energy at the Highest Point
The potential energy of an object is given by the formula:
Potential Energy (PE) = mass * gravity * height
where the mass is in kilograms, gravity is the acceleration due to gravity (approximately 9.8 m/s^2), and the height is in meters.
Now, let's calculate the potential energy at the highest point of the jump using the given information.
Given:
- The boy's mass = 40 kg
- The height of the jump = 1.5 m
Using the formula for potential energy, we have:
PE = 40 kg * 9.8 m/s^2 * 1.5 m
PE ≈ 588 Joules
Therefore, the potential energy at the highest point of the jump is approximately 588 Joules.
Since all of the initial kinetic energy is converted into potential energy at the highest point, the kinetic energy at the highest point is zero.
Kinetic Energy (KE) at the Highest Point = 0 Joules
Explanation:
- The kinetic energy is the energy possessed by an object due to its motion.
- The potential energy is the energy possessed by an object due to its position or height.
- At the highest point of the jump, the boy's velocity becomes zero, so the kinetic energy is zero.
- The potential energy at the highest point is maximum because the height is at its maximum point.
- The conservation of energy principle states that the total mechanical energy of a system remains constant if no external forces are acting on it.
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