Answer:

Explanation:
It is given that,
Mass of the baseball, m = 0.14 kg
It is dropped form a height of 1.8 m above the ground. Let u is the velocity when it hits the ground. Using the conservation of energy as :

h = 1.8 m

u = 5.93 m/s
Let v is the speed of the ball when it rebounds. Again using the conservation of energy to find it :

h' = 1.4 m

v = -5.23 m/s
The change in the momentum of the ball is given by :



So, the change in the ball's momentum occurs when the ball hits the ground is 1.56 kg-m/s. Hence, this is the required solution.
The book continue to move due to its inertia
Explanation:
We can answer this question by using Newton's first law, which states that:
"When an object is moving with constant velocity (or it is at rest), it will continue moving with constant velocity (or will stay at rest) unless acted upon an external unbalanced force".
This law is also known as law of inertia.
If we apply this law to the situation in the problem, we notice that:
- Before the car stops, the book is moving with constant velocity (25 mph) together with the car
- When the car stops, there are no external forces acting on the book, which is free to continue its motion: so, the book will continue moving at 25 mph forward, due to its inertia. The book will be eventually stopped when it hits the floor (because the floor applies an unbalanced force on it).
Learn more about inertia:
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I think it might be independant variable.. but not so sure
Answer:
10.77m
Explanation:
The elastic potential energy of the spring when compressed with the mass is converted to the kinetic energy of the mass when released. This ie expressed in the following equation;

where k is the force constant of the spring, e is the compressed length, m is the mass of the block and u is the velocity with which the block leaves the spring after being released.
If we make u the subject of formula from equation (1) we obtain the following;

Given;
e = 0.105m,
k = 4825N/m,
m = 0.252kg,
u = ?
Substituting all values into equation (2) we obtain the following;

The maximum height attained is then obtained from the third equation of motion as follows, taking g as 

v = 0m/s
Hence

Answer:
2.01
Explanation:
First, we need to find the centripetal acceleration.
We're given that the merry go round rotates 1 revolution in 2.09 seconds. Converting to rpm, we know that it rotates 30 revolution per minute
Now this speed gotten in rpm will be converted to m/s, to ease the calculation
30 rpm = πdN/60 m/s
30 rpm = (3.142 * 4 * 30)/60
30 rpm = 377.04/60
30 rpm = 6.284 m/s
a(c) = v²/r
a(c) = 6.284²/2
a(c) = 39.49 / 2
a(c) = 19.74 m/s²
F = ma
F = 50 * 19.74
F = 987 N
Also, Normal Force, F(n) =
F(n) = mg
F(n) = 50 * 9.81
F(n) = 490.5
We then use this to find the coefficient of static friction, μ
μ = F/F(n)
μ = 987 / 490.5
μ = 2.01