Find the work done required to increase the momentum of a body by 20%. We are asked to find the time taken by the ball to rise to the highest position. The drag force which affects the motion of the ball is represented as \[m\gamma \] . The horizontal component of the velocity is constant as it is perpendicular to g. We will notify on your mail & mobile when someone answers this question.

According to the problem the ball is thrown upward. When an object is thrown with certain initial velocity , it gains a Kinetic energy at that moment of throwing. While the ball is moving up, you do not interact with it, therefore the only force is gravity, accelerating the ball downwards . Is the acceleration due to gravity and this time it’s considered positive i.e. downwards as the ball is now ready to free fall.

A particle of mass 40 g is thrown vertically upwards with a speed of 10 ms-1. Find the work done by the force of gravity during the time the particle goes up. This is called the highest point for an upward vertical movement. After this, the vanna white crocheting ball starts falling downwards. Then again it starts falling downwards vertically and this time its velocity increases gradually under the influence of gravity. In other words, during upward movement, the ball is moving with retardation.

The ball reaches a height beyond which it can’t move upwards anymore and stops there i.e. its velocity becomes zero at that height. The total time it takes to return to the surface of the earth. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. We have to find out the expression of this v3. Also, we have to find out the time taken for this downward fall.

Therefore the ball will take 3+2 or 5 sec to reach at the top from the bottom. No packages or subscriptions, pay only for the time you need. Please enable JavaScript to continue using this application. Now from the Law of conversation of energy, we can say this rise in PE is happening at the cost of some form of energy being transformed.

It’s pretty evident that after the upward throw, the velocity of the ball gradually decreases i.e. a negative acceleration was working on the ball. The acceleration is negative because this acceleration is directing downwards while the ball is moving upward. After some time when the entire KE gets nullified, the ball stops. And then starts falling towards the earth’s surface.