Question

A body has weight 20N how much force is required to move it verticaly upward with the acceleration of 2m/s?

Answer 1

To determine the force required to move a body vertically upward with a given acceleration, we need to consider the net force acting on the body. In this case, the net force is the sum of the force required to overcome the body's weight and the force required to provide the desired acceleration.

The weight of the body is given as 20 N, and it acts downward due to gravity. According to Newton's second law of motion, the force required to overcome the weight can be calculated as:

$F_{\text{weight}}=m\cdot g$

where:

• $F_{\text{weight}}$ is the force required to overcome the weight,
• $m$ is the mass of the body, and
• $g$ is the acceleration due to gravity (approximately 9.8 m/s² on Earth).

Given that the weight is 20 N, we can find the mass of the body:

$m=\frac{F_{\text{weight}}}{g}=\frac{20\text{N}}{9.8\text{m/s²}}\approx 2.04\text{kg}$

Now, we can calculate the net force required to move the body upward with the given acceleration:

$F_{\text{net}}=m\cdot a$

Substituting the values:

$F_{<spa}$