Answer:
Explanation:
we know that half life of an element is
T=0.693/λ
where λ is decay constant in order to find decay constant
λ=0.693/T
λ=0.693/8.04
λ=0.086
Answer:
K.E = 0.0075 J
Explanation:
Given data:
Mass of the ball = 1.5 kg
radius, r = 50 cm = 0.5 m
Angular speed, ω = 12 rev/min = (12/60) rev/sec = 0.2 rev/sec
Now,
the kinetic energy is given as:
K.E = 
where,
I is the moment of inertia = mr²
on substituting the values, we get

or
K.E = 0.0075 J
Explanation:
Given that,
Initial velocity, u = 11.3 m/s
Angle above the horizontal, 
Time of flight :

Horizontal distance traveled is given by :
x = ut
x = 11.3 m/s × 1.32 s
x = 14.916 m
Maximum height is given by :

Hence, time of flight is 1.32 s, horizontal distance is 14.916 m and maximum height is 2.14 m.