High School

We appreciate your visit to 128 N of force is applied to a 64 kg block accelerating it at tex 2 text m s 2 tex A second 60 kg. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

128 N of force is applied to a 64 kg block, accelerating it at [tex]2 \, \text{m/s}^2[/tex]. A second 60 kg object is also accelerating at [tex]2 \, \text{m/s}^2[/tex]. How does the force applied to the two blocks compare?

[tex]128 \, \text{N} = 64 \, \text{kg} \times \left(2 \, \frac{\text{m}}{\text{s}^2}\right)[/tex]

[tex]? \, \text{N} = 60 \, \text{kg} \times \left(2 \, \frac{\text{m}}{\text{s}^2}\right)[/tex]

A. The force on the 60 kg block is larger.
B. The force on the 60 kg block is the same as the 64 kg block.
C. The force on the 60 kg block is smaller.

Answer :

To solve the problem, we start with Newton's second law of motion:

[tex]$$
F = m \cdot a
$$[/tex]

where:
- [tex]$F$[/tex] is the force,
- [tex]$m$[/tex] is the mass,
- [tex]$a$[/tex] is the acceleration.

Step 1: Calculate the force on the 64 kg block

For the block with mass [tex]$64\ \text{kg}$[/tex] and acceleration [tex]$2\ \text{m/s}^2$[/tex], the force is:

[tex]$$
F_{64} = 64\ \text{kg} \times 2\ \frac{\text{m}}{\text{s}^2} = 128\ \text{N}
$$[/tex]

Step 2: Calculate the force on the 60 kg block

For the block with mass [tex]$60\ \text{kg}$[/tex] and the same acceleration [tex]$2\ \text{m/s}^2$[/tex], the force is:

[tex]$$
F_{60} = 60\ \text{kg} \times 2\ \frac{\text{m}}{\text{s}^2} = 120\ \text{N}
$$[/tex]

Step 3: Compare the forces

- The force on the [tex]$64\ \text{kg}$[/tex] block is [tex]$128\ \text{N}$[/tex].
- The force on the [tex]$60\ \text{kg}$[/tex] block is [tex]$120\ \text{N}$[/tex].

Since

[tex]$$
120\ \text{N} < 128\ \text{N},
$$[/tex]

the force acting on the [tex]$60\ \text{kg}$[/tex] block is smaller.

Final Answer: The force on the [tex]$60\ \text{kg}$[/tex] block is smaller.

Thanks for taking the time to read 128 N of force is applied to a 64 kg block accelerating it at tex 2 text m s 2 tex A second 60 kg. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada