Question

1. a 6.0 kg cart accelerates at 2.5 m/s². calculate the net force on the cart.

step 1:
step 2:
step 3:

1. a net force of 45 n causes an object to accelerate at 3.0 m/s². what is the objects mass?

step 1:
step 2:
step 3:

Explanation:

Step1: Identify the formula

We use Newton's second - law $F = ma$, where $F$ is the net force, $m$ is the mass and $a$ is the acceleration.

Step2: Solve for problem 5

Given $m = 6.0\ kg$ and $a=2.5\ m/s^{2}$. Substitute into the formula $F = ma$.
$F=(6.0\ kg)\times(2.5\ m/s^{2}) = 15\ N$

Step3: Solve for problem 6

Given $F = 45\ N$ and $a = 3.0\ m/s^{2}$. We need to find $m$. Rearrange the formula $F = ma$ to $m=\frac{F}{a}$.
$m=\frac{45\ N}{3.0\ m/s^{2}}=15\ kg$

Answer:

1. The net force on the cart is 15 N.
2. The object's mass is 15 kg.