The work done can be calculated using the equation:
Work = Force x Distance = Change in kinetic energy
The kinetic energy is derived using the following formula: KE = (1/2)*m*v^2
Thus, the change in kinetic energy is calculated as (1/2)*m*(Vf)^2 - (1/2)*m*(Vo)^2
Where:
Vf represents the final speed = 90 kph = 25 m/s
Vo denotes the initial speed = 72 kph = 20 m/s
By substituting in the given values:
Work = (1/2)*2500*(25^2) - (1/2)*2500*(20^2) = 281250 J, which can also be represented as 2.8 x 10^5 Joules.
The correct choice among the options is A.
The rod measures 450mm in length, while the disk has a radius of 75mm. An upward-supporting pin holds the assembly in place when Θ=0, and there exists a torsional spring with a constant of k=20N m/rad at the pin. One end of the rod connects to the pin, while the other connects to the disk.
We installed a motion detector at one end of the track and placed a cart on it. We then attached a motorized fan to the cart, allowing it to propel the cart down the track. This aligns with my expectations based on the velocity graph, where the slope represents acceleration, which remains consistent over time.
