The mass of cyclist together with the bike is 90 kg. Calculate the increase in kinetic energy i

step 1 Okay in this question the mass of the cycle is together with the bike is given 90 KG so M is giv

The mass of cyclist together with the bike is 90 kg....

The mass of cyclist together with the bike is $90 \mathrm{~kg}$. Calculate the increase in kinetic energy if the speed increases from $6 \cdot 0 \mathrm{~km} / \mathrm{h}$ to $12 \mathrm{~km} / \mathrm{h}$.

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Key Concepts

Calculating Energy Change

The change in kinetic energy, or the increase in kinetic energy, is determined by calculating the difference between the final and initial kinetic energies. This involves computing the kinetic energy at the new speed and subtracting the kinetic energy at the original speed, effectively capturing the work done to accelerate the object.

Kinetic Energy

Kinetic energy is the energy that an object possesses due to its motion. It is defined by the formula KE = 1/2 * m * v², where m represents the mass of the object and v represents its velocity. This concept is essential because it quantifies how the energy of a moving object changes with variations in mass and speed.

Velocity Unit Conversion

When solving problems involving kinetic energy, it’s important to ensure that the units used for velocity are consistent with the units for mass and energy. Often, velocities given in kilometers per hour need to be converted to meters per second to match the standard SI units used in the kinetic energy formula.

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