Physics, 07.04.2020 21:58 maddy3lizabeth

Particle on a spring moves in simple harmonic motion along the x axis between turning points at x1 = 85 cm and x2 = 160 cm. (i) At which of the following positions does the particle have maximum speed? 85 cm 103.75 cm 122.5 cm at none of those positions (ii) At which position does it have maximum acceleration? 85 cm 103.75 cm 122.5 cm at none of those positions (iii) At which position is the greatest net force exerted on the particle? 85 cm 103.75 cm 122.5 cm at none of those positions

Answers: 2

Show answers

Answers

Answer from: AM28

(i) 122.5cm

(ii) 85cm

(iii) 85cm

Explanation:

A particle undergoing simple harmonic motion around an equilibrium point has its maximum velocity at its equilibrium point. This happens because the particle is accelerated, in this case by a spring, from a turning point towards the other one. When it passes the equilibrium point, the acceleration becomes negative since the spring exerts its force in the opposite direction, so the speed starts decreasing, having its maximum value at the equilibrium point.

The equilibrium point is located exactly halfway between the turning points, so, we first calculate the distance between them (160cm-85cm=75cm), then divide it by two (75cm/2=37.5cm) and sum it to the distance to the nearest turning point (37.5cm+85cm=122.5cm). This is the point in which the particle has maximum speed, 122.5cm (i).

Now, since the net force is proportional to the acceleration, they have their maximum values in the same places. The spring force is proportional to the distance to the equilibrium point (|F|=kx), so the maximum value for the force and the acceleration is reached where the distance to the equilibrium is higher. This occurs in the turning points (85cm and 160cm). As the 160cm is not between the possible answers, the correct answer for (ii) and (iii) is 85cm.

Answer from: Quest

Try c ? that’s what i got
An object is located 5.0 cm from a convex lens. the lens focuses light at a distance of 10.0 cm. wha

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Another question on Physics

Physics, 22.06.2019 03:30

Using a wheel and axle, a farmer is trying to lift a bucket of water from the bottom of a well. the larger wheel has a radius of 40 cm compared to the axle that has a radius of 10 cm. if a bucket of water is 50 n, then how much effort is required to raise it? 12.5 n 200 n 2 n 500 n

Answers: 1

Answer

Physics, 22.06.2019 07:20

If 2 moles of co_2 at 2l and 500k are expanded reversibly to 20l, more work can be obtained from an adiabatic process than from an isothermal process. is the above statement true or false?

Answers: 3

Answer

Physics, 22.06.2019 10:00

Need people build a dam to create a reservoir that supplies water a nearby city needs. describe two ways this action will likely affect the water cycle in the local environment. (5 points) worth 20 points

Answers: 1

Answer

Physics, 22.06.2019 11:40

Imagine that you have two balloons (or, better yet, actually inflate two balloons, if possible). create static electricity around one of the balloons by rubbing it against your hair or your sweater and then bring that balloon close to the other balloon, which has not been charged. try this with at least one other object—and for variety in the discussion, avoid using an object already described by your classmates. then, for your initial post to the discussion, answer the following questions: what happened with the two balloons?

Answers: 3

Answer

You know the right answer?

Particle on a spring moves in simple harmonic motion along the x axis between turning points at x1 =...

Questions