Question

What is the mass of an object that accelerated at a rate of 1.5 m/s/s when a force of 20.5 N were applied to it?

Answer 1

Answer:

F=ma

M=force/mass

M=20.5/1.5

M=13.66

Explanation:

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Answer 2

$\underline{ \underline{ \Large \pmb{\mathit{ {Given:}} }} }$

• Acceleration (a) = 1.5 m/s²

• Force applied (F) = 20.5 N

$\underline{ \underline{ \Large \pmb{\mathit{ {To \: calculate:}} }} }$

• Mass of the object (m)

$\underline{ \underline{ \Large \pmb{\mathit{ {Calculation:}} }} }$

By using Newton's second law of motion,

→ F = ma

Where,

• F = Force

• m = mass

• a = acceleration

Now as per the given question, we are given the value of force applied and acceleration. So, we'll substitute the values to find the mass of the object.

→ 20.5 N = 1.5 m/s² × m

→ 20.5 kg × m/s² = 1.5 m/s² × m

( 1 Newton = 1 kg × 1 m/s² )

→ $\sf { \dfrac{20.5 \: kg \times \cancel {m/s^2} }{1.5 \: \cancel{m/s^2}} }$ = m

→ $\sf { \dfrac{20.5 \: kg }{1.5 } }$ = m

→ $\sf { \dfrac{205 \times 10 }{15 \times 10 } }$ kg = m

→ $\sf { \dfrac{2050 }{150 } }$ kg = m

→ $\sf { \dfrac{205 }{15 } }$ kg = m

→ $\boxed { \pmb { \rm \red { 13.66 \: kg = Mass }}}$

Therefore, mass of the object is 13.66 kg.

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A little further..!

• Mass is defined as the quantity of matter contained in it.
• Mass is a scalar quantity.
• SI unit of mass is Kilogram ( kg ).

____

• Force is a push or pull that tends to change the position of an object.
• Force is a vector quantity.
• SI unit of force is Newton.
• Formula: F = ma

____

• Acceleration is the rate of change in velocity with time.
• It is vector quantity.
• SI unit of acceleration is $\tt { m/s^2 }$
• Formula: a = v-u/t , where v = final velocity, u = intial velocity and t is time.