Physics, 26.06.2020 16:01 ikramhamideh

A soccer ball is released from rest at the top of a grassy incline. After 2.2 seconds, the ball travels 22 meters. One second later, the ball reaches the bottom of the incline. (Assume that the acceleration was constant.) How long was the incline

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Answer from: LuluMathLover101

x = 46.54m

Explanation:

In order to find the length of the incline you use the following formula:

$x=v_ot+\frac{1}{2}at^2$ (1)

vo: initial speed of the soccer ball = 0 m/s

t: time

a: acceleration

You first use the the fact that the ball traveled 22 m in 2.2 s. Whit this information you can calculate the acceleration a from the equation (1):

$22m=\frac{1}{2}a(2.2s)^2\\\\a=9.09\frac{m}{s^2}$ (2)

Next, you calculate the distance traveled by the ball for t = 3.2 s (one second later respect to t = 2.2s). The values of the distance calculated is the lenght of the incline:

$x=\frac{1}{2}(9.09m/s^2)(3.2s)^2=46.54m$ (3)

The length of the incline is 46.54 m

Answer from: Quest

12000j is work done

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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A soccer ball is released from rest at the top of a grassy incline. After 2.2 seconds, the ball trav...

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