A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 4.60 m/s
1 answer:
Answer:
(a).The value of force applied on the car during acceleration F = 383.32 N
(b).The value of impulse on the car I = 340.4 N-sec
Explanation:
Acceleration of the car = 5.18
Mass of the passengers = 74 kg
Total force experienced by the car = mass × acceleration
⇒ F = m × a
Put the values of mass & acceleration in the above formula we get
Force F = 74 × 5.18
⇒ F = 383.32 N
This is the value of force applied on the car during acceleration.
linear Impulse is given by I = F × Δt
Where F = force applied on the car
Δt = time interval upon which the force is applied on the car
⇒ I = 383.32 × 0.888
⇒ I = 340.4 N-sec
This is the value of impulse on the car.
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A mass weighing 32 pounds stretches a spring 2 feet.
(a) Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 6 ft/s.
(b) How many complete cycles will the mass have completed at the end of 4 seconds?
Answer:
Period = seconds
8 cycles
Explanation:
A mass weighing 32 pounds stretches a spring 2 feet;
it implies that the mass (m) =
m=
= 1 slug
Also from Hooke's Law
2 k = 32
k =
k = 16 lb/ft
Using the function:
(because of the initial position being above the equilibrium position)
( as a result of upward velocity)
NOW, we have:
However;
means
also implies that:
Hence,
Period can be calculated as follows:
=
= seconds
How many complete cycles will the mass have completed at the end of 4 seconds?
At the end of 4 seconds, we have:
cycles
the frequency (in hz) of these vibrations if the car moves at 24.2 m/s is 605 HZ .
Calculation :
frequency =
frequency =
= 605 HZ
Frequency describes the number of waves passing through a particular location in a particular time. So if the wave takes 1/2 second to travel, the frequency is 2 per second. If it takes 1/100th of an hour, the frequency is 100 per hour.
Frequency is the number of occurrences of a repeating event per unit time. ... sometimes called time-frequency for clarity,
Learn more about frequency here : brainly.com/question/254161
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