Answer:
the distance traveled by the car is 42.98 m.
Explanation:
Given;
mass of the car, m = 2500 kg
initial velocity of the car, u = 20 m/s
the braking force applied to the car, f = 5620 N
time of motion of the car, t = 2.5 s
The decelaration of the car is calculated as follows;
-F = ma
a = -F/m
a = -5620 / 2500
a = -2.248 m/s²
The distance traveled by the car is calculated as follows;
s = ut + ¹/₂at²
s = (20 x 2.5) + 0.5(-2.248)(2.5²)
s = 50 - 7.025
s = 42.98 m
Therefore, the distance traveled by the car is 42.98 m.
Answer:
T=0.827s
Explanation:
The period of a spring can be calculated with the equation
![T=2\pi w](https://tex.z-dn.net/?f=T%3D2%5Cpi%20w)
But we know as well that w is given by,
![w=\sqrt{\frac{k}{m}}](https://tex.z-dn.net/?f=w%3D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D)
Replacing,
![w=\frac{2\pi}{T}= \sqrt{\frac{k}{m}}\\T=2\pi\sqrt{\frac{k}{m}}\\T=2\pi\sqrt{\frac{0.4}{23.1}}](https://tex.z-dn.net/?f=w%3D%5Cfrac%7B2%5Cpi%7D%7BT%7D%3D%20%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D%5C%5CT%3D2%5Cpi%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D%5C%5CT%3D2%5Cpi%5Csqrt%7B%5Cfrac%7B0.4%7D%7B23.1%7D%7D)
So we have that
![T=0.827s](https://tex.z-dn.net/?f=T%3D0.827s)
I<span>n </span>direct current<span> (</span>DC), the electric charge (current<span>) only flows in one direction. Electric charge in </span>alternating current<span> (</span>AC<span>), on the other hand, changes direction periodically. The voltage in </span>AC<span> circuits also periodically reverses because the </span>current<span> changes direction.</span>
The acceleration is -9.8m/s^2. The initial velocity is -8m/s. The initial position is 30m. This describes a position function of
-(9.8/2)t^2-8t+30=0
Solve the quadratic equation for t to get t=1.789s