A golf ball is dropped from rest from a height of 9.5m. It hits the pavement then bounces back up rising just 5.7 m before falling back down again. A boy then catches the ball on the way down when it is 1.20 m above the pavement. Ignoring air resistance, calculate the total amount of time the ball is in the air, from drop to catch.
Answers
Answer: 3.4s
Explanation:
There are three stages in the motion of the ball, so you have to calculate the times for every stage.
1) Ball dropping from 9.5m: free fall
d = Vo + gt² / 2
Vo = 0 ⇒ d = gt² / 2 ⇒ t² = 2d / g = 2 × 9.5 m / 9.81 m/s² = 1.94 s²
⇒ t = √ (1.94 s²) = 1.39s
2) Ball rising 5.7m (vertical rise)
i) Determine the initial speed:
Vf² = Vo² - 2gd
Vf² = 0 ⇒ Vo² = 2gd = 2 × 9.81 m/s² × 5.7m = 111.8 m²/s²
⇒ Vo = 10.6 m/s
ii) time rising
Vf = Vo - gt
Vf = 0 ⇒ Vo = gt ⇒
t = Vo / g = 10.6 m/s / 9.81 m/s² = 1.08 s
3) Ball dropping from 5.7 m to 1.20m above the pavement (free fall)
i) d = 5.7m - 1.20m = 4.5m
ii) d = gt² / 2 ⇒ t² = 2d / g = 2 × 4.5 m / 9.81 m/s² = 0.92 s²
⇒ t = √ (0.92 s²) = 0.96s
4) Total time
t = 1.39s + 1.08s + 0.96s = 3.43s ≈ 3.4s
The time it takes to rise to 5.7 meters is the square root of (11.4/g), for the same value of g.
The time it takes to fall from 5.7 meters to 1.2 is the square root of (9/g).
So the answer is [sqrt(19)+sqrt(11.4)+sqrt(9)]/sqrt(g). If g=10, the answer is 3.39 seconds; if g=9.8, the answer is 3.43 seconds.
Related Questions
How will you describe the magnetic field around a current-carrying coil?a.the magnetic field is weakest near and around the coilb)the magnetic field vary directly with the distance from the coilc)the magnetic field is strongest inside the current-carrying coild)the magnetic field lines are closed loops along the loops in the coil
a friend tells you that his family always complains about the noise when he practices his electric guitar in his room. write at least three recommendations for how our friend might reduce the sound that escapes from his room. why do these changes to the room help reduce noise?
Is a marble rolling across the table kinetic energy
Which of the following condition would decrease the ability of a person to hear a sound?
Answers
Δx=80
a=9.8
Vi=0 since its from rest, the initial velocity is 0.
80=0+.5(9.8)t²
t=16.33
You can use one of the big five equations: Vf=Vi+at
Vf=0+9.8(16.33)
Vf=160.034 m/s
Answers
work measure by joule.
Energy = work/time
= joule/s .
and joule/s represents watt
Answers
Answer:Eddy current inspection.
Explanation:EDDY CURRENTS are currents which are produced as a result of changes observed within the magnetic field of an electric circuits. Eddy currents are also called Foucault's Currents. Eddy currents can heat up objects without actually coming in contact with that object.
Eddy current testing or inspection ( ECT) is an electromagnetic testing/inspection methods applied in nondestructive testing (NDT).
Nondestructive testing utilises
Electromagnetic induction to detect and describe surface and sub-surface issuess in conductive materials according to the features of the issues or problems in the conductive material.
Answer:Eddy current testing method.
Explanation:
Non destructive testing methods are techniques which makes use of electromagnetic radiation to examine and detect anomalies in a wide variety of articles( metallic or non - metallic) without causing any changes to it. Non destructive testing is used in science and technology fields such as:
- petroleum engineering,
-mechanical engineering,
- forensic engineering,
- aeronautical engineering and
- medicine.
Types of non destructive testing includes
Eddy current testing, magnetic- particle testing, liquid penetrant testing, radiographic testing, ultrasonic testing, and visual testing.
Eddy current testing method is used to detect surface or near surface defects in most metals, and may also be used to separate metals or alloys and their heat-treat conditions.
Answers
A 5.0 kg object is pulled by a 15-N force acting 20 °C above the horizontal. After moving for 6.0 m, the work done is 85 J.
What is work?
In physics, work is the energy transferred to or from an object via the application of force along a displacement.
A 5.0 kg object is pulled by a 15-N force acting 20 ° above the horizontal. We can calculate the work done after the object moved 6.0 m using the following expression.
W = F × s × cosθ
W = 15 N × 6.0 m × cos 20° = 85 J
where,
- W is the work.
- F is the force.
- s is the displacement.
- θ is the angle between F and s.
A 5.0 kg object is pulled by a 15-N force acting 20 °C above the horizontal. After moving for 6.0 m, the work done is 85 J.
Learn more about work here: brainly.com/question/62183
Answer:
84.6 J
Explanation:
The work done by the force is given by
where
W is the work done
F = 15 N is the force applied
d = 6.0 m is the displacement
is the angle between the force's direction and the displacement
Substituting the numbers into the equation, we find
B) His weight
C) His weight and mass
D) Neither the mass or the weight
Answers
Answer: B) weight
Explanation: Your mass does not change on the moon