A5.0-kg box moving at 6.0 m/s on a horizontal, frictionless surface runs into a light spring of force constant 60 n/cm. you may want to review (pages 183 - 189) . for related problemsolving tips and strategies, you may want to view a video tutor solution of motion with a varying force.

The maximum compression of the spring is 1.73 cm.

Explanation:

Given that,

Mass of box = 5.0 kg

Speed = 6.0 m/s

Spring constant = 60 N/cm

Suppose use the work-energy theorem to find the maximum compression of the spring.

We need to calculate the maximum compression of spring

Using work -energy theorem

Put the value into the formula

Hence, The maximum compression of the spring is 1.73 cm.

power out to power in less than 100%

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.