The magnitude of the resultant force is given by the centripetal force, since the car is under a circular motion. So, we have:
The centripetal acceleration is given by:
Where v is the linear speed and r the radius of the circular motion. Replacing this and solving:
Here it is given that initial speed of the package will be same as speed of the helicopter
displacement of the package as it is dropped on ground
acceleration is due to gravity
now by kinematics
by solving above equation we have
so it will take 5.2 s to reach the ground
Answer:
5.4 J.
Explanation:
Given,
mass of the object, m = 2 Kg
initial speed, u = 5 m/s
mass of another object,m' = 3 kg
initial speed of another orbit,u' = 2 m/s
KE lost after collusion = ?
Final velocity of the system
Using conservation of momentum
m u + m'u' = (m + m') V
2 x 5 + 3 x 2 = ( 2 + 3 )V
16 = 5 V
V = 3.2 m/s
Initial KE =
=
= 31 J
Final KE =
Loss in KE = 31 J - 25.6 J = 5.4 J.
