Think back to the 3 main kinematics equations that we know:

v_f² = v_i² + 2aΔx

v_f = v_i + at

Δx = v_it + ½at²

Newton’s second law can be used in combination with the spring force equation to solve for the acceleration of the system. Remember that any force, whether it is kinematic, electrical, or gravitational, is equal to Newton’s second law. 

F_spring = kx = ma_system

Now we need to choose which equation gives us the final velocity, given that we know the acceleration and the change in position (1m).

v_f² = v_i² + 2aΔx

v_f² = (0 m/s)² + 2(50 m/s²)(1 m) = 100 m²/s²

First we can calculate the acceleration.

Using F = ma with the magnitude of the acceleration we can find the force.

The car and the truck experience equal and opposite forces, but since the car has a smaller mass it will experience greater acceleration than the truck according to the equation F = ma.

A greater mass will decrease the acceleration.

For this question we must use Newton's second law. We have to use the formula .

 is the force being applied,  is the mass of the object, and  is the acceleration of the object

For this question we must use Newton's second law. We have to use the formula .

 is the force being applied,  is the mass of the object, and  is the acceleration of the object

Conservative forces are associated with a potential energy. The gravitational force that gives rise to the potential energy of child 1 at the top of the ramp is conserved, in a sense, as she converts it to kinetic energy during her trip down to the lake surface.

Friction has no associated potential energy, and so is considered nonconservative.

Friction is a non-conservative force, meaning that the work it does depends on the path taken by the object. For example, moving a brick in a long zig-zag across the table will generate more heat from friction than moving it in a straight line across the table.

Electric and gravitational forces are conservative. This can be tested by knowing a constant equation to calculate the energy associated with these forces; such equations are applicable regardless of path. No such equation exists for frictional energy.

Air resistance is a form of friction that acts in the direction opposite motion, slowing down an object. If the ball spends less time in flight, it will travel less of a distance, requiring the cushion to be placed closer to the launch position.

While one might expect the "weak" force to be the weakest of the four universal forces, the gravitational force is actually several orders of magnitude weaker than the weak force.

In order from strongest to weakest, the fundamental forces are the strong (nuclear) force, electromagnetic force, weak force, and gravitational force.

Conservative forces are forces that do not lose energy to heat, sound, or light. Of these answers, energy is completely conserved and transferred from kinetic energy to potential energy, or vice versa. Gravitational forces, electrostatic forces, and elastic forces all work by providing a potential that will work in the same direction as the motion of an object or particle, allowing kinetic and potential energy to interconvert. Frictional forces lose energy as heat when sliding across a surface, and the more force (the more rough the surface), the more energy that is lost.