The standard unit of length in the SI system is the meter (m).

The torque produced by a force applied at a distance from the pivot point is given by τ = rF sin(θ), where θ is the angle between the force and the lever arm.

The total mechanical energy in a simple harmonic oscillator is given by E = 1/2 k A^2, where A is the amplitude and k is the spring constant.

Total mechanical energy = Potential energy + Kinetic energy = 30 J + 20 J = 50 J.

The unit of momentum in the SI system is kilogram meter per second (kg·m/s), which is derived from the product of mass and velocity.

The unit of momentum is kilogram meter per second (kg·m/s), which is derived from the product of mass and velocity.

The unit of power in optics, as in all physics, is the Watt (W), which is equivalent to Joules per second.

The standard value of gravitational acceleration on Earth is approximately 9.81 m/s².

Work = mgh = 5 kg × 9.8 m/s² × 2 m = 98 J.

The work done by a constant force is calculated as the product of the force and the distance moved in the direction of the force, W = F * d.

The work done is calculated as W = Fd cos(θ), where θ is the angle between the force and the direction of motion.

The work done by a constant force is calculated using the formula W = Fd cos(θ), where θ is the angle between the force and the direction of motion.

Work = F × d × cos(θ) = 15 N × 4 m × cos(60°) = 15 N × 4 m × 0.5 = 30 J.

Work done W = τθ, where θ = 60 degrees = π/3 radians. Thus, W = 15 N·m * π/3 = 15 * 1.047 = 15.71 J.

Work done by torque is W = τθ, where θ = π/2 rad. Thus, W = 5 N·m * (π/2) = 5 * 1.57 = 7.85 J.

Work done is calculated as W = F * d * cos(θ). Here, θ = 0 degrees, so W = 10 N * 3 m * cos(0) = 30 J.

Work done W = F × d = 15 N × 3 m = 45 J.

Work W = F * d = 50 N * 3 m = 150 J.

Work W = F * d = 50 N * 4 m = 200 J.

A rolling object possesses kinetic energy due to both its translational and rotational motion.

A concave lens is used to correct nearsightedness (myopia) by diverging light rays before they enter the eye.

Lenz's law states that the direction of induced current is such that it opposes the change in magnetic flux.

Weight is the force exerted by gravity on an object and is calculated as Weight = Mass x Acceleration due to gravity (W = mg).

The position of a simple harmonic oscillator can be represented as x(t) = A cos(ωt + φ) or x(t) = A sin(ωt + φ).

The induced emf is affected by the number of turns in the coil, the rate of change of magnetic flux, and the strength of the magnetic field. The resistance of the wire does not affect the induced emf directly.

The pressure of an ideal gas is affected by temperature, volume, and the number of molecules, but not by the color of the gas.

The speed of the object does not directly affect its stability; stability is influenced by the height of the center of mass and the base width.

The kinetic energy of a rotating rigid body is given by KE = 1/2 Iω^2, where I is the moment of inertia and ω is the angular velocity.

Newton's first law states that an object will remain at rest or in uniform motion unless acted upon by a net external force. The ball rolling and eventually stopping is an example.

When a wheel rolls without slipping, the friction involved is static friction, which prevents sliding between the wheel and the surface.