COMEDK2017PhysicsMotion in Two Dimensions
From the top of a tower, two stones whose masses are in the ratio 1: 2 are thrown-one straight up with an initial speed u and the second straight down with the same speed u . Then, neglecting air resistance
Options
- Athe heavier stone hits the ground with a higher speed
- Bthe lighter stone hits the ground with a higher speed
- CBoth the stones will have the same speed when they hit the ground
- Dthe speed can't be determined with the given data
Correct answer
C. Both the stones will have the same speed when they hit the ground
Step-by-step solution
The first stone move up to some height and then its velocity becomes zero. Now, it move downward and at the level of top of tower, it acquires the same initial velocity u and gravitational acceleration g in downward direction. The second stone is moving with the same speed u and with downward acceleration g . So, both will have same final velocity when they reach the bottom and hit the ground.