Answer:
the new depth is 2.3 ft
Explanation:
the solution is in the attached Word file
Answer:
a) 1.22 s
b) 9.089 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.81 m/s²

Time taken by the ball to reach the highest point is 1.22 seconds

The maximum height the ball will reach above the ground is 1.75+7.339 = 9.089 m
1) 29.5 N/m
2) 0.100 m
Explanation:
1)
The force constant of the spring can be found by using the fact that the force on the spring is proportional to the extension of the spring (Hooke's Law). Therefore, we can write:

where
is the change in the force on the spring, where
is the force applied when the hanging mass is

is the force applied when the hanging mass is

is the change in extension of the spring, where
is the extension of the spring when the hanging mass is 0.300 kg
is the extension of the spring when the hanging mass is 1.95 kg
Solving for k,

2)
When the first mass is hanging on the spring, we have

where:
is the force applied on the spring (the weight of the hanging mass)
k is the spring constant
is the extension of the spring wrt its natural length
is the natural length of the spring (the unloaded length)
Here we have

k = 29.5 N/m

Solving for
, we find:

The acceleration would be 2.5 m/sec^2
A= acceleration
F= force
M= mass
A = f/m
125N/50kg=2.5 m/s^2
A meter is 100 meters. So a hundredth of a meter stick is a centimeter.<span />