Question

a.Calculate the velocity of a moving body of mass 50 kg whose linear momentum is 25kgm/s


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Answer 1

Answer:

0.5 m/s

Explanation:

As per the provided information in the given question, it has been stated that the mass of the body is 50 kg whose linear momentum is 25kg.m/s. And, we have been asked to calculate the velocity.

Before commencing the steps, let's understand the meaning of linear momentum first. Momentum of the body is the product of its mass and velocity, i.e $\boxed{\sf{\red{P = mv}}}$. It is a vector quantity and its SI unit is kg.m/s. Also, velocity is a vector quantity and its SI unit is m/s.

As per the stated information, we have :

• Linear momentum, P = 25 kg.m/s
• Mass of the body, m = 50 kg

As we know that,

$\twoheadrightarrow\quad\underline{\boxed{\sf{P = mv }}}$

• P denotes momentum
• m denotes mass
• v denotes velocity

$\\\twoheadrightarrow\quad\sf {25 \; kg.ms^{-1} = 50 \; kg \times v}$

$\\ \twoheadrightarrow\quad\sf { \cancel{\dfrac{25 \; kg.ms^{-1}}{50 \; kg}} = v}$

$\\\twoheadrightarrow\quad\underline{\boxed{\textbf{\textsf{0.5}}\; \textbf{\textsf{ms}}^{\textbf{\textsf{-1}}} = \textbf{\textsf{v}}}}$

∴ The velocity of the object is 0.5 m/s.

Answer 2

Answer:

Question :-

• Calculate the velocity of a moving body of mass 50 kg whose linear momentum is 25 kg m/s.

Given :-

• A moving body of mass 50 kg whose linear momentum is 25 kg m/s.

To Find :-

• What is the velocity of a moving body.

Formula Used :-

$\clubsuit$ Momentum Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{\rho =\: m \times v}}}\: \: \: \bigstar$

where,

• $\sf \rho$ = Momentum (kg m/s)
• m = Mass (kg)
• v = Velocity (m/s)

Solution :-

Given :

$\mapsto \bf Mass =\: 50\: kg$

$\mapsto \bf Momentum =\: 25\: kg\: m/s$

According to the question by using the formula we get,

$\implies \bf \rho =\: m \times v$

$\implies \sf Momentum =\: Mass \times Velocity$

$\implies \sf 25 =\: 50 \times Velocity$

$\implies \sf \dfrac{25}{50} =\: Velocity$

$\implies \sf 0.5 =\: Velocity$

$\implies \sf\bold{\red{Velocity =\: 0.5\: m/s}}$

$\small \sf\bold{\purple{\underline{\therefore\: The\: velocity\: of\: a\: moving\: body\: is\: 0.5\: m/s\: .}}}$

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