a force of 100 n gives a toy tonka truck an acceleration of 20 m/s². if the toy truck when loaded with sand…

Explanation:

Step1: Find mass of the empty truck

According to Newton's second - law $F = ma$. Given $F = 100\ N$ and $a = 20\ m/s^{2}$, we can find the mass of the empty truck $m_1$. $m_1=\frac{F}{a_1}$ $m_1=\frac{100}{20}=5\ kg$

Step2: Find mass of the truck with sand

Again, using $F = ma$. Now $F = 100\ N$ and $a_2 = 5\ m/s^{2}$, we find the mass of the truck with sand $m_2$. $m_2=\frac{F}{a_2}$ $m_2=\frac{100}{5}=20\ kg$

Step3: Find mass of the sand

The mass of the sand $m_s$ is the difference between the mass of the truck with sand and the mass of the empty truck. $m_s=m_2 - m_1$ $m_s=20 - 5=15\ kg$

Answer:

The mass of the toy - truck is $5\ kg$ and the mass of the sand is $15\ kg$.