Question

the mass of goods truck is 4000kg and mass of goods loaded is 2000kg if the truck is moving with 40 km/hr .what will be its momentum​

Answer 1

Answer :-

Momentum of the truck will be 66660 kg m/s .

Explanation :-

We have :-

→ Mass of truck (m₁) = 4000 kg

→ Mass of goods loaded (m₂) = 2000 kg

→ Velocity of the truck (v) = 40 km/h

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Firstly, we have to convert the velocity of the truck from km/h to m/s .

⇒ 1 km/h = 5/18 m/s

⇒ 40 km/h = 40(5/18) m/s

⇒ 200/18 m/s

⇒ 11.11 m/s

Now, let's calculate the total mass (m) .

⇒ m = m₁ + m₂

⇒ m = (4000 + 2000) kg

⇒ m = 6000 kg

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Momentum (p) of the truck will be :-

p = m × v

⇒ p = 6000 × 11.11

⇒ p ≈ 66660 kg m/s

Answer 2

⇝Given :-

• Mass of truck (m¹) = 4000 kg
• Goods loaded (m²) = 2000 kg
• Speed = 40 km/h

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⇝To Find :-

• Momentum = ?

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⇝Solution :-

${\red{✧}}{\underline{\bf{ We \: Know \: that :}}}$

${\large{\red{\bigstar \: \: {\blue{\underbrace{\underline{\orange{\bf{P = M \times V}}}}}}}}}$

${\red{✧}}{\underline{\bf{ Converting:}}}$

${\large{\red{\rightarrowtail}}{\bf{Velocity ={\cancel{ 40 \times \frac{5}{18}}} }}}$

${\large{\red{\dashrightarrow}}{\underline{\underline{\orange{\bf{V = 11.11 m/s}}}}}}$

Total Mass :

${\large{\red{\rightarrowtail}}{\bf{Total \: Mass = m¹ + m²}} }$

${\large{\red{\rightarrowtail}}{\bf{Total \: Mass = 4000 + 2000}} }$

${\large{\red{\dashrightarrow}}{\underline{\underline{\orange{\bf{6000 \: kg}}}}}}$

${\red{✧}}{\underline{\bf{ Applying \: the \: values :}}}$

${\large{:{\longmapsto{\bf{P (momentum)= M \times V}}}}}$

${\large{:{\longmapsto{\bf{ 6000 \times 11.11}}}}}$

${\large{\purple{:{\longmapsto{\underline{\overline{\boxed{\bf{ 66660 \: kg \: m/s}}}}}}}}}$

${\red{✧}}{\underline{\bf{ Therefore :}}}$

${\large{\orange{\underline{\green{\underline{\red{\mathfrak{Momentum = 66660 \: kg \: m/s}}}}}}}}$

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