Answer:
![6\text{m}/\text{s}^2](https://img.qammunity.org/2019/formulas/physics/high-school/vdung8wd2f5x875axkcogar6au1kp59hxk.png)
Step-by-step explanation:
Given: A
steel crate is being pushed along a cement floor. The force of friction is
![480](https://img.qammunity.org/2019/formulas/physics/high-school/tge78ef7b9wf8ur2k8jxkcnq6em72p4cnf.png)
to the left and the applied force is
![1860](https://img.qammunity.org/2019/formulas/physics/high-school/stcxbrelehixdpufoobjqr7j38xjaqhhwt.png)
to the right.
To Find: What is the acceleration of the crate.
Solution:
Mass of steel crate
![=230\text{N}](https://img.qammunity.org/2019/formulas/physics/high-school/xdaj8b4ma23vx0tcb1n4e7nio4ohy8ltwu.png)
Force of friction on steel crate
![=480\text{N}](https://img.qammunity.org/2019/formulas/physics/high-school/5p814l7kh9nhmklvdpvnegdxggpeksrzvy.png)
Force applied on steel crate
![=1860\text{N}](https://img.qammunity.org/2019/formulas/physics/high-school/wsfo2vhf0rgquj6knkzwxql7rmwk3q42y1.png)
Now,
As force of friction is in opposite direction of force applied
Net force applied on steel crate
![=\text{total applied force}-\text{total friction foce}](https://img.qammunity.org/2019/formulas/physics/high-school/1mdy8miibf23z43by83gabh147mpqp2how.png)
![1860-480](https://img.qammunity.org/2019/formulas/physics/high-school/l4jiu4rjf34wmlvja4j3sl6vm5urvd7ruk.png)
![1380\text{N}](https://img.qammunity.org/2019/formulas/physics/high-school/1c8op9lwxfvj0r1t1899h7kvqzca9a8vyv.png)
![\text{force}=\text{mass}*\text{acceleration}](https://img.qammunity.org/2019/formulas/physics/high-school/4dkvgh5bgolkcw3xus1vbiu7d6j9gmbar8.png)
![\text{acceleration}=\frac{\text{force}}{\text{mass}}](https://img.qammunity.org/2019/formulas/physics/high-school/769gi32w9ccss1bx11y6w7wcr7blsds3x1.png)
![\text{acceleration}=(1380)/(230)](https://img.qammunity.org/2019/formulas/physics/high-school/j15agjkau3zqv8bx2mst2lgfanpfhpjn02.png)
putting values
![\text{a}=6\text{m}/\text{s}^2](https://img.qammunity.org/2019/formulas/physics/high-school/8li9weih4ud668ccmxx274ow80rt8kl20k.png)
Hence acceleration of crate is
![6\text{m}/\text{s}^2](https://img.qammunity.org/2019/formulas/physics/high-school/vdung8wd2f5x875axkcogar6au1kp59hxk.png)