Answer: 1.12 m
Explanation:
This situation is related to parabolic motion, hence we can use the following equations:
(1)
(2)
Where:
is the ball final height (when it hits the ground)
is the ball initial height
is the initial velocity
is the angle at which the ball was launched
is the time
is the acceleration due gravity
is the horizontal distance the ball travels
Rewriting (1) with the given values:
(3)
Multiplying all the eqquation by -1 and rearranging:
(4)
So, since we have a quadratic equation here (in the form of
, we will use the quadratic formula to find
:
(5)
Where
,
,
Substituting the known values and choosing the positive result of the equation, we have:
(6)
Now, substituting (6) in (2):
(7)
(8) This is the horizontal distance at which the ball hits the ground.
Answer:
-414.96 N
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration


The force the ground exerts on the parachutist is -414.96 N
If the distance is shorter than 0.75 m then the acceleration will increase causing the force to increase
An applied force must be applied to move a load. This applied force must be large enough to overcome any opposing forces in order to move the load.
Answer:
Explanation:
1 ) the volume of helium in the balloon when fully inflated
= 4/3 π R³
= 4/3 x 3.14 x 5.3³
= 623.3 m³
2 ) force of gravity on the entire system ,but with no people
= (mass of the empty balloon and basket + mass of helium )x g
=( 129 + 623.3 x.18 )x 9.8
= 2363.7 N
3 ) magnitude of the buoyant force on the entire system (but with no people )
( Volume of empty balloon + basket + volume of helium ) density of air x g
( 0.057 + 623.3 ) x 1.23 x 9.8
= 7513.94 N
4 ) magnitude of the force of gravity on each person
Mass of each person x g
= 71 x 9.8
= 695.8 N