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jolli1 [7]
3 years ago
11

Two bodies of masses M and m(M>m) are allowed to fall from the same height. If

Physics
1 answer:
ollegr [7]3 years ago
5 0

\sf{\pink{\underline{\underline{\blue{QUESTION:-}}}}}

<h3>✨ <u>ASSERTION</u> :-</h3>

  • Two bodies of masses M and m (M>m) are allowed to fall from the same height . If the air resistance for each be the same then both the bodies will reach the earth simultaneously .

<h3>✨ <u>REA</u><u>SON</u> :-</h3>

  • For same air resistance, acceleration of both the bodies will be same .

[A] If both assertion and reason are true and reason is the correct explanation of assertion .

[B] If both assertion and reason are true but reason is not the correct explanation of assertion .

[C] If assertion is true but reason is false

[D] If both assertion and reason are false

\sf{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}

✍️ The force acting on the body of mass M are [its weight] ‘<u>Mg</u>’

  • Mg are acting vertically downwards

  • And air resistance F acting vertically upward .

Hence,

\rm{\green{Acceleration\:of\:the\:body\:(a)\:=\:\dfrac{Mg\:-\:F}{M}\:}}

\rm{\implies\:Acceleration\:of\:the\:body\:(a)\:=\:g\:-\:\dfrac{F}{M}\:}

⚡ Now, M > m therefore, the body with larger mass will have greater acceleration and it will reach the ground first .

\green\bigstar\:\rm{\gray{\overbrace{\underbrace{\purple{\therefore\:[D]\:Both\:Assertion\:and\:Reason\:\atop{are\:incorrect\:.}}}}}}

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Answer:

1. The final velocity of the truck is 15 m/s

2. The distance travelled by the truck is 37.5 m

Explanation:

1. Determination of the final velocity

Initial velocity (u) = 0 m/s

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Time (t) = 5 s

Final velocity (v) =?

The final velocity of the truck can be obtained as follow:

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v = 0 + 15

v = 15 m/s

Therefore, the final velocity of the truck is 15 m/s

2. Determination of the distance travelled

Initial velocity (u) = 0 m/s

Acceleration (a) = 3 m/s²

Time (t) = 5 s

Distance (s) =?

The distance travelled by the truck can be obtained as follow:

s = ut + ½at²

s = (0 × 5) + (½ × 3 × 5²)

s = 0 + (½ × 3 × 25)

s = 0 + 37.5

s = 37.5 m

Therefore, the distance travelled by the truck is 37.5 m

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Explanation:

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