A particle of mass m starts from rest and moves with a constant acceleration a along a straight line. What is the relationship between the distance travelled x and the kinetic energy K of the particle?
\( K \propto x \)
From kinematic equations: \[ v^2 = u^2 + 2ax \] Since the particle starts from rest, \( u = 0 \), so \[ v^2 = 2ax \] The kinetic energy is given by: \[ K = \frac{1}{2} m v^2 \] Substituting \( v^2 = 2ax \): \[ K = \frac{1}{2} m (2ax) = max \] Thus, \( K \propto x \).
Important Questions from Work Power Energy
A microphone converts:
Which of the following is also called the First Law of Thermodynamics?
Select the most appropriate option to fill in the blanks. A thermistor can have a region of _______ determined by the construction material or the temperature of the material. The change in temperature can be due to internal effects such as current through the thermistor or due to external effects of _____.
EMF of a thermocouple is approximately a _____ function of the temperature difference between the junctions.
A machine performs work W in time t, and its power output is P. If the machine’s power output is doubled, how much time will it take to perform the same amount of work?
