Question

a body of mass 2kg on a smooth incline plane have an acceleration of 2 m/S2(squared) down the incline. the force up along the incline required to move uniformly is​

Answer 1

Answer:

force =mass X acceleration

=2/1000 X 2m/s²

= 4/1000

=1/250 N

Answer 2

$\huge{\bold{\underline{\underline{....Answer....}}}}$

$\huge{\bold{\underline{Given:-}}}$

m = 2 kg.

a = 2 m/s².

$\huge{\bold{\underline{Explanation:-}}}$

As the question says To find force required to move uniformly will be equal to the minimum force required to push the body up the plane.

The acceleration will be equal to.

$\large{\bold{\therefore a = g \sin \theta}}$

Substituting the values.

$\large{ \implies 2 = 10 \times \sin \theta}$

$\large{ \implies \sin \theta = \frac{ \cancel{2}}{ \cancel{10}}}$

$\large{ \implies \sin \theta = \frac{1}{5}}$

We will leave the sin value like that for ease for solving the problem.

From the figure.

Force required.

$\large{\bold{F_{min} = mg \sin \theta}}$

Substituting the values.

$\large{ \implies F_{min} = 2 \times \cancel{10} \times \frac{1}{ \cancel{5}}}$

$\large{ \implies F_{min} = 2 \times 2}$

$\large{ \implies F_{min} = 4N}$

$\huge{\boxed{\boxed{F = 4N}}}$

So, the force required to move uniformly is 4N.

#For figure refer attachment.