Work, Energy, and Power in Physics

Potential energy of each particle.

Total mechanical energy.

Momentum of each particle.

Kinetic energy of each particle.

Net work is unrelated to changes in an object’s kinetic energy.

Net work causes a change in potential, not kinetic, energy.

They are directly equal; net work changes an object’s kinetic energy.

Kinetic energy only depends on mass, not on net work.

Maximum compression minus maximum extension equals zero indicating all work input balances out over time due to restoring force symmetry.

Integral of force dot displacement over time for one cycle equals zero showing continuous reallocation between potential and kinetic forms but no loss or gain overall.

Summation of instantaneous power over one period equals zero suggesting no net transfer of average power throughout cyclic motion.

Change in potential plus change in kinetic equals zero across one full period due to conservation of mechanical energy within elastic limits.

It remains unchanged.

It decreases by half.

It decreases by a factor of eight.

It decreases by a factor of four.

They should have equal and opposite velocities.

Both should move at varying speeds but same direction.

They should move perpendicular to each other with equal speed.

One should be stationary while the other moves at twice its speed.

Modify masses on opposite sides of the pulley while keeping total system mass constant and measure the resultant acceleration using an accelerometer.

Add springs beneath the hanging weights and measure the period of oscillations to infer g.

Introduce horizontal force components through angled pulleys and analyze the forces in equilibrium to find g.

Increase the radius of the pulley and observe the tension difference between the strings to calculate g based on rotational dynamics.

$\sqrt{\frac{1}{2}} \times v_0$

$\frac{v_0}{2}$

$\frac{\sqrt{3}}{2} \times v_0$

$\sqrt{\frac{3}{4}} \times v_0$

X_max = nL

X_max = L/(sqrt(n))

X_max = sqrt(L/n)

X_max = L * n

The satellite spirals inward towards Earth and eventually collides due to the centripetal force becoming insufficient to maintain the orbit.

The satellite is ejected outward into space, resulting in a trajectory that becomes hyperbolic as the excess radial velocity overcomes Earth's gravitational pull.

The satellite enters an elliptical orbit with perigee and apogee points located on the previous circular path plane.

The satellite continues on a circular path at a lower altitude until atmospheric drag becomes significant and slows down its further descent, resulting in a stable new orbit at a lower altitude.

Decreases regardless of slipping or rolling.

Increases if there's no sliding friction.

Varies inversely with cosine of θ.

Remains constant as long as d stays same.