Question

force of 25.75 N produced
if
acceleration of 5.35m/5². Find the mass of
body?​

Answer 1

Force ,f = 25.75 N

Acceleration, a= 5.35 m/s²

According to the result of Newton's second law of motion, force is defined as the product of mass and acceleration.

Force = mass × acceleration

f = ma

25.75 = m × 5.35

m = 25.75 / 5.35

m = 5.15/1.07

m = 4.813 kg

The mass of he body is 4.813 kg

RELATED FACTS

• The direction of force is in the direction of acceleration of the body .

• The mass of the body is inversely proportional to the acceleration.

• Hence the body of smaller mass have greater acceleration.

Answer 2

Answer:

4.81 kg

Explanation:

$\underline{\bigstar\:\textsf{Given:}}$

• Force (F) = 25.75 N
• Acceleration (a) = 5.35 m/s²

$\underline{\bigstar\:\textsf{To\:find:}}$

• Mass of the body (m) = ?

$\underline{\bigstar\:\textsf{Solution:}}$

We know, that if any body of mass 'm' is accelerating with an acceleration 'a', there's a force acting on that body and making that body move. This expression is given by, $\blue{\sf{Force(F)\:=\:Mass(m)\:\times\:Acceleration(a)}}$

$\:$

$\longrightarrow$ 25.75 = m × 5.35

$\:$

$\longrightarrow\:\sf{\dfrac{25.75}{5.35}\:=\:m}$

$\:$

$\small\longrightarrow\underline{\boxed{\sf\purple{m\:=\:4.81\:kg}}}$