Answer:
d = 19.796m
Explanation:
Since the ball is in the air for 4.02 seconds, the ball should reach the maximum point from the ground in half the total time, therefore, t=2.01s to reach maximum height. At the maximum height, the velocity in the y-direction is 0.
So we know t=2.01, vi=0, g=a=9.8m/s and we are solving for d.
Next, you look for a kinematic equation that has these parameters and the one you should choose is:

Now by substituting values in, we get
d = 19.796m
Answer:
We must duplicate the length of the rope (R'=2R) to get

Explanation:
The equation of the centripetal force is given by:


Where:
R is the length of the rope
m is the mass of the object
v is the speed of the object
If we want to reduce the centripetal force in half, we can duplicate the length of the rope (R'=2R), which means:



I hope it helps you!
Answer: The pressure in a liquid is different at different depths. Pressure increases as the depth increases. The pressure in a liquid is due to the weight of the column of water above. The greater pressure at the bottom would give a greater 'force per unit area' on the wall.
Explanation:
Answer:
The object's maximum speed remains unchanged.
Explanation:
The speed of a particle in SHM is given by :

Maximum speed is, 
If A' = 2A and T' = 2T



So, the maximum speed of the object remains the same i.e. it remains unchanged. Hence, this is the required solution.
Answer: 48.08 watts
Explanation:
power needed = ?
Work done = 462 joules
Time taken = 9.61 seconds
Recall that power is the rate of energy expended or workdone per unit time. i.e Power = Workdone / Time
Power = 462 joules / 9.61 seconds
Power = 48.08 watts
Thus, 48.08 watts of power is needed to the work.