Answer:
Velocity will be 
Explanation:
We have given mass of alpha particle m = 4 u 
Charge on alpha particle 
Charge on thorium particle 
Diameter is given as d = 15 fm
So radius 
Potential energy is given by 
From energy conservation 


Answer:15.66 J
Explanation:
mass of block 
Force magnitude=7.5 N
Initial velocity =
Final velocity=
Initial Kinetic Energy=
=
Final Kinetic Energy=
=
Work Done =Final -Initial Kinetic energy=37.714-22.056=15.66 J
Answer:
total momentum = 8.42 kgm/s
velocity of the first cart is 3.660 m/s
Explanation:
Given data
mass m1 = 2.3 kg
mass m2 = 1.5 kg
final velocity V2 = 4.9 m/s
final velocity V3 = - 1.9 m/s
to find out
total momentum and velocity of the first cart
solution
we know mass and final velocty
and initial velocity of second cart V1 = 0
so now we can calculate total momentum that is m1 v2 + m2 v2
total momentum = 2.3 ×4.9 + 1.5 ×(-1.9)
total momentum = 8.42 kgm/s
and
conservation of momentum is
m1 V + m2 v1 = m1 v2 + m2 v3
put all value and find V
2.3 V + 1.5 ( 0) = 2.3 ( 4.9 ) + 1.5 ( -1.9)
V = 8.42 / 2.3
V = 3.660 m/s
so velocity of the first cart is 3.660 m/s