How much momentum will a dumbbell of mass 10 kg transfer to the floor if it falls from a height of 80 cm?

0 votes
101 views
asked Oct 17, 2017 in Physics by jisu zahaan (28,760 points) 26 377 818
edited Oct 17, 2017 by jisu zahaan

How much momentum will a dumbbell of mass 10 kg transfer to the floor if it falls from a height of 80 cm? Take its downward acceleration to be 10 m s-2

1 Answer

0 votes
answered Oct 17, 2017 by sforrest072 (157,439 points) 61 410 949
selected Nov 10, 2017 by jisu zahaan
 
Best answer

Mass of the dumbbell, m = 10 kg 

Distance covered by the dumbbell, s = 80 cm = 0.8 m 

Acceleration in the downward direction, a = 10 m/s2 

Initial velocity of the dumbbell, u = 0 

Final velocity of the dumbbell (when it was about to hit the floor) = v

According to the third equation of motion: 

v2= u 2 + 2as 

v2= 0 + 2 (10) 0.8

v= 4 m/s 

Hence, the momentum with which the dumbbell hits the floor is 

= mv 

= 10 × 4 kg m s-1 

= 40 kg m s-1

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...