The kinetic energy of an object of mass m moving with a velocity of 5ms is 25j what will be it's kinetic energy it's velocity is doubled what will be it's kinetic energy when it's velocity in increased three times
Answers
Correct question:-
The kinetic energy of an object of mass m, moving with a velocity of 5m/s is 25J. What will be it's kinetic energy when it's velocity is doubled. What will be it's kinetic energy when it's velocity is increased three times?
Given:-
→Mass of the object = m
→Velocity of the object = 5m/s
→Kinetic energy of the object = 25J
To find:-
→Kinetic energy of the body when
velocity is doubled
→Kinetic energy of the body when
velocity is increased three times.
Solution:-
Firstly,let's calculate mass of the object.
K.E. = 1/2mv²
=>1/2×m×(5)² = 25
=>25m/2 = 25
=>25m = 25(2)
=>25m = 50
=>m = 50/25
=>m = 2kg
When velocity is doubled:-
If velocity of the object is doubled, it becomes 2×5 = 10m/s
=>K.E. = 1/2×2×(10)²
=>K.E. = 100J
When velocity is increased 3 times:-
If velocity of the object is increased three times,then it becomes 3×5 = 15m/s
=>K.E. = 1/2×2×(15)²
=>K.E. = 225J
Thus:-
•Kinetic energy of the body is 100J ,when the velocity is doubled.
•Kinetic energy of the body is 225J, when the velocity is increased three times.
Explanation:
Correct question:-
The kinetic energy of an object of mass m, moving with a velocity of 5m/s is 25J. What will be it's kinetic energy when it's velocity is doubled. What will be it's kinetic energy when it's velocity is increased three times?
Given:-
→Mass of the object = m
→Velocity of the object = 5m/s
→Kinetic energy of the object = 25J
To find:-
→Kinetic energy of the body when
velocity is doubled
→Kinetic energy of the body when
velocity is increased three times.
Solution:-
Firstly,let's calculate mass of the object.
K.E. = 1/2mv²
=>1/2×m×(5)² = 25
=>25m/2 = 25
=>25m = 25(2)
=>25m = 50
=>m = 50/25
=>m = 2kg
When velocity is doubled:-
If velocity of the object is doubled, it becomes 2×5 = 10m/s
=>K.E. = 1/2×2×(10)²
=>K.E. = 100J
When velocity is increased 3 times:-
If velocity of the object is increased three times,then it becomes 3×5 = 15m/s
=>K.E. = 1/2×2×(15)²
=>K.E. = 225J
Thus:-
•Kinetic energy of the body is 100J ,when the velocity is doubled.
•Kinetic energy of the body is 225J, when the velocity is increased three times.