Explanation:
It is given that,
The angular acceleration of the basketball, 
Time taken, t = 3 seconds
We need to find the ball’s final angular velocity if the ball starts from rest. It can be calculated using definition of angular acceleration i.e.





So, the ball's final angular velocity is 30 rad/s. Hence, this is the required solution.
Answer:
p = 1.0076 10⁵ Pa
Explanation:
Atmospheric pressure is given by the relation
P = rho g h
In this case they indicate that the height of the column of mercury is h = 756 mm Hg
let's reduce the height to the SI system
h = 756 mm (1m / 1000 mm)
h = 0.756 m
let's calculate
P = 13600 9.8 0.756
p = 1.0076 10⁵ Pa
Answer: 2.37N
Explanation:
According to coulombs law which states that the force of attraction (F) between two charges (q1 and q2) is directly proportional to the product of their charges and inversely proportional to the square of the distance (r) between them. Mathematically,
F = kq1q2/r²
For the first two charges that are sitting 1.5 m apart with a force of 3 N between them, we have
3 = kq1q2/1.5²
3 = kq1q2/2.25
Kq1q2= 6.75... (1)
If the charges are now moved farther apart 2.25 m and one of the charges is increased by a factor of 4. The formula becomes
F2 = k(4q1)q2/2.25² (q1 has been increased by factor of 4)
k(4q1)q2 = 5.06F2 ... (2)
Dividing 2 by 1 we have
k(4q1)q2/kq1q2 = 5.06F2/3
4 = 5.06F2/3
5.06F2 = 12
F2= 12/5.06
F2 = 2.37N
Therefore the magnitude of the new force between the two charges is 2.37N
Answer:
V2 = 1.33m/s
Explanation:
M1 = 30 ton
M2 = 90 ton
V1 = 4 m/s
V2 = ?
Assumption: momentum conserved, no friction
initial momentum = final momentum = 0
momentum : p = MV
(M1*V1) - (M2*V2) = 0
V2 = (30*4)/90 = 1.33m/s
Answer: 
The ball was thrown at the speed of
.
Maximum height achieved is 
Time of flight is t.
Now, the time the ball takes to achieve maximum height = the time taken by ball to fall back = 
let us just consider the second half of the flight. At
, the velocity would be zero. let us consider as the initial velocity for the second half of the flight i.e. 
Using the equation of motion:

where,
is the final velocity, a is the acceleration, t is the time taken.
Because the ball would fall under gravity, hence a=g and time of flight would be t/2
