Complete Question
A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitude of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:
a) frequency
b) the maximum acceleration
c) the maximum velocity
Answer:
a
b
c
Explanation:
From the question we are told that
The period is
The amplitude is
The vibration of the scale is
Generally the frequency is mathematically represented as
=>
=>
The maximum acceleration is mathematically represented as
=>
=>
The maximum velocity is mathematically represented as
=>
=>
Answer:
3- A ball of mass 0,50 kg falls and hits the floor at 10m/s,
It rebounds at speed 8.0 m/s, as shown.
before collision
after collision
10 m/s
8 m/s
The collision between the ball and the floor lasts for 0.50 s.
What is the average force acting on the ball during the collision?
I believe its C. <span>Add two small anchors on the outside middle of the boat, one on starboard (right), one on port (left)</span>
Answer: 1.124 m
Explanation:
This situation is a good example of the projectile motion or parabolic motion, and the main equations that will be helpful in this situations are:
x-component:
(1)
Where:
is the initial speed
is the angle at which the venom was shot
is the time since the venom is shot until it hits the ground
y-component:
(2)
Where:
is the initial height of the venom
is the final height of the venom (when it finally hits the ground)
is the acceleration due gravity
Knowing this, let's begin:
First we have to find from (2):
(3)
Rearranging (3):
(4)
This is a <u>quadratic equation</u> (also called equation of the second degree) of the form , which can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving (6) we find the positive result is:
(7)
Substituting (7) in (1):
(8)
Finally:
(9)
Answer:
D.) Blue
Explanation:
because Blue is a higher frequency and therefore corresponds to a higher energy level transition.
I hope this helped you :)