Question

A object starts from 3m/s velocity acquires a velocity of 18m/s in 5s.If Force applied on object is 9N then find the mass of the object .


Hint:-

Find Acceleration then use Newtons 2nd law.


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Answer 1

Answer:

Mass = 3kg.

Explanation:

Given -

• Initial velocity(u) = 3m/s
• Final velocity (v) = 18m/s
• Time taken(t) = 5 seconds
• Force (f) = 9N

Solution -

Mass(m) -

• Force =mass×acceleration
• 9N= m×(18-3/5)
• 9N= m×3
• m= 3

Mass of object = 3kg.

Answer 2

Provided that:

• Initial velocity = 3 m/s
• Final velocity = 5 m/s
• Force = 9 Newton

To calculate:

• The mass

Solution:

• The mass = 3 kg

Using concepts:

• Acceleration formula
• Newton's 2nd law of motion

Using formulas:

• Acceleration formula:

• ${\small{\underline{\boxed{\pmb{\sf{a \: = \dfrac{v-u}{t}}}}}}}$

• Newton's second law of motion:

• ${\small{\underline{\boxed{\pmb{\sf{F \: = ma}}}}}}$

Where, a denotes acceleration, F denotes force, m denotes mass, v denotes final velocity, u denotes initial velocity and t denotes time taken.

Required solution:

~ Firstly let us calculate the acceleration by using acceleration formula!

$:\implies \sf Acceleration \: = \dfrac{Change \: in \: velocity}{Time} \\ \\ :\implies \sf a \: = \dfrac{v-u}{t} \\ \\ :\implies \sf a \: = \dfrac{18-3}{5} \\ \\ :\implies \sf a \: = \dfrac{15}{5} \\ \\ :\implies \sf a \: = \cancel{\dfrac{15}{5}} \: (Cancelling) \\ \\ :\implies \sf a \: = 3 \: ms^{-2} \\ \\ :\implies \sf Acceleration \: = 3 \: ms^{-2}$

Henceforth, acceleration we get is equal to 3 metre per second sq.

~ Now by using Newton's second law of motion that tell us about the formula to calculate force let us solve our question!

$:\implies \sf Force \: = Mass \times Acceleration \\ \\ :\implies \sf F \: = m \times a \\ \\ :\implies \sf F \: = ma \\ \\ :\implies \sf 9 = m \times 3 \\ \\ :\implies \sf \dfrac{9}{3} \: = m \\ \\ :\implies \sf \cancel{\dfrac{9}{3}} \: = m \: (Cancelling) \\ \\ :\implies \sf 3 \: = m \\ \\ :\implies \sf m \: = 3 \: kg \\ \\ :\implies \sf Mass \: = 3 \: kg$

Henceforth, mass = 3 kilograms