Answer:
v = ((M(√2gH)/3m)
Explanation:
Initial Moment of Inertia= Moment of Inertia of Rod
I = (ML²)/3
Linear Velocity of moveable end of the rod, just before collision is given by = v = (√2gH)/L
Initial Angular Momentum, about the point of the suspension:
Li= Iw = {(ML²)/3} . {(√2gH)/L} = {ML(√2gH)}/3
Final Angular Momentum = Li = mvl, where 'v' is the speed of the mass 'm' after the collision
Since the collision is elastic, all momentum will be conserved, which means
Initial Angular Momemtum = Final Angular Momentum
{ML(√2gH)}/3 = mvL
solving for v = {(M)/3m} . {(√2gH)/L}
Answer:
All are correct except the age of earth. The age of Earth is approximately 4.543 Billion Years.
-- Use the formula D=(1/2)·(g)·(t²) to calculate how long
it takes the flower pot to fall to the ground.
1.5 m = (1/2) · (9.8 m/s²) · (t²)
t² = (1.5 m) / (4.9 m/s²)
t = 0.554 second
-- Use the formula Distance = (speed)·(time) to calculate
how far the pot traveled horizontally in that amount of time.
Distance = (8 m/s) · (0.554 sec)
Distance horizontally = 4.43 meters
Answer is 3. Volume= mass divided by density
Explanation:
The pressure exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation p = ρgh, where g is the gravitational acceleration