A metal ball of mass 60 g falls on a concrete floor from a vertical height of2.8m and rebounds to a height of 1.3 m. Find the change in K.E. in S.I. units
Question
A metal ball of mass 60 g falls on a concrete floor from a vertical height of2.8m and rebounds to a height of 1.3 m. Find the change in K.E. in S.I. units
Solution
To find the change in kinetic energy, we first need to find the initial and final kinetic energy.
-
First, we need to convert the mass of the ball into kilograms (since we are asked to find the answer in SI units). So, 60 g = 0.06 kg.
-
The initial kinetic energy (just before the ball hits the floor) can be found using the equation for gravitational potential energy, which is mgh (mass x gravity x height). Here, m = 0.06 kg, g = 9.8 m/s² (acceleration due to gravity), and h = 2.8 m. So, the initial kinetic energy = 0.06 kg * 9.8 m/s² * 2.8 m = 1.64 Joules.
-
The final kinetic energy (just before the ball reaches its maximum height after rebounding) can also be found using the equation for gravitational potential energy. Here, m = 0.06 kg, g = 9.8 m/s², and h = 1.3 m. So, the final kinetic energy = 0.06 kg * 9.8 m/s² * 1.3 m = 0.764 Joules.
-
The change in kinetic energy is the initial kinetic energy minus the final kinetic energy. So, the change in kinetic energy = 1.64 Joules - 0.764 Joules = 0.876 Joules.
Similar Questions
A ball of mass 0.140 kg is dropped from rest from a height of 1.25 m. It rebounds from the floor to reach a height of 0.875 m. What impulse was given to the ball by the floor?magnitude
A steel ball with mass 36.0 gg is dropped from a height of 2.01 mm onto a horizontal steel slab. The ball rebounds to a height of 1.67 mm.Part ACalculate the impulse delivered to the ball during impact.Express your answer in newton seconds.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typenothingN⋅sN⋅sSubmitRequest AnswerPart BIf the ball is in contact with the slab for a time of 1.60 msms, find the average force on the ball during impact.Express your answer in newtons.
A body of mass 2kg is dropped from a height of 1m. Its kinetic as it reaches the ground
A ball of mass 2kg and another of mass 4kg are dropped together from a 60m tall building. After a fall of 30m each towards earth, their respective kinetic energies will be in the ratio of __________.1:11:21:31:4
A ball of mass m is dropped from a height H above a level floor asshown in figure. After striking the ground it bounces off back andreaches up to height h.Based on above information, answer the following questions: H hm13. Change in momentum of the ball on striking is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.