Question

question 1
you push an object at rest and cause it to speed up and obtain a speed of 10 m/s in 4.2 s. what is the acceleration of the object (in m/s²)?
add your answer
integer, decimal, or e notation allowed

question 2
suppose you push a mass on a frictionless surface. if you apply a force of 25 n to a mass of 10 kg, what is the acceleration of the mass in m/s²?
add your answer
integer, decimal, or e notation allowed

Explanation:

Question 1

Step1: Identify acceleration formula

Acceleration $a=\frac{v - u}{t}$, where $v$ is final - velocity, $u$ is initial - velocity, and $t$ is time.
Initial velocity $u = 0\ m/s$ (object at rest), final velocity $v = 10\ m/s$, and time $t = 4.2\ s$.
$a=\frac{10 - 0}{4.2}$

Step2: Calculate acceleration

$a=\frac{10}{4.2}\approx2.38\ m/s^{2}$

Question 2

Step1: Identify Newton's second - law formula

According to Newton's second law $F = ma$, where $F$ is force, $m$ is mass, and $a$ is acceleration. We can solve for $a$: $a=\frac{F}{m}$.
Given $F = 25\ N$ and $m = 10\ kg$.
$a=\frac{25}{10}$

Step2: Calculate acceleration

$a = 2.5\ m/s^{2}$

Answer:

Question 1: $2.38$
Question 2: $2.5$