Question

type the correct answer in the box. jeremy accidentally dropped his toy stuffed animal from the balcony of his apartment on the fourth floor. the toy hit the ground at a velocity of 16.0 meters/second. at impact it took 2.0 seconds for the toys velocity to reach 0 meters/second. if the toy has a mass of 0.25 kilograms, whats the force of the impact? use f = ma, where a = \\(\frac{v - u}{t}\\). the force of the impact is newtons.

Explanation:

Step1: Calculate the acceleration

The formula for acceleration is $a=\frac{v - u}{t}$, where $v$ is the final velocity, $u$ is the initial velocity, and $t$ is the time. Here, $u = 16.0$ m/s, $v=0$ m/s, and $t = 2.0$ s. So, $a=\frac{0 - 16.0}{2.0}=- 8.0$ m/s².

Step2: Calculate the force

We know that $F = ma$, where $m = 0.25$ kg and $a=-8.0$ m/s². Substitute the values into the formula: $F=0.25\times(- 8.0)=-2.0$ N. The negative sign indicates the direction of the force is opposite to the direction of the initial - velocity of the toy. The magnitude of the force is 2.0 N.

Answer:

2.0