Question

a force of 24 n gives an acceleration of 8m to an object the froce required to give it an acceleration of 10m ???​

Answer 1

Correct Question:-

A force of 24 N gives an acceleration of 8m/s to an object. The force required to give it an acceleration of 10m/s ?

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Answer:-

$\blue{\bigstar}$ Force required to give acceleration of 10 m/s will be $\large\leadsto\boxed{\tt\red{30 \: N}}$

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• Given:-

• Force of 24N gives acceleration of 8m/s.

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• To Find:-

• Force required to give an acceleration of 10m/s.

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• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\purple{F = ma}}}$

where,

• F = Force applied

• m = mass of the object

• a = acceleration of the object

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• Substituting in the Formula:-

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➪ $\sf 24 = m \times 8$

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➪ $\sf m = \dfrac{24}{8}$

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★ $\large{\bf\green{m = 3 \: kg}}$

Therefore, the mass of the object is 3kg.

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Now,

When we need to give acceleration of 10m/s, the force required will be:-

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$\pink{\bigstar}$ $\large\underline{\boxed{\bf\purple{F = ma}}}$

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➪ $\sf F = 3 \times 10$

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★ $\large{\bf\green{F = 30 \: N}}$

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Therefore, a force of 30N will be required to accelerate the object by 10m/s.

Answer 2

Answer:

Given :-

• A force of 24 N gives an acceleration of 8 m/s² to an object. The force required to give an acceleration of 10 m/s.

To Find :-

• What is the force required to give an acceleration of 10 m/s.

Formula Used :-

❶ To find mass we know that,

$\boxed{\bold{\large{m\: =\: \dfrac{F}{a}}}}$

❷ To find force we know that,

$\boxed{\bold{\large{F\: =\: ma}}}$

where,

• F = Force
• m = Mass
• a = Acceleration

Solution :-

❶ First, we have to find mass,

Given :

• Force = 24 N
• Acceleration = 8 m/s

According to the question by using the formula we get,

⇒ m = $\dfrac{24}{8}$

⇒ m = $\dfrac{\cancel{24}}{\cancel{8}}$

➠ m = 3kg

❷ Now, we have to find the force,

We get,

• Mass = 3 kg
• Acceleration = 10 m/s

According to the question by using the formula we get,

↦ F = 3 × 10

➥ Force = 30 N

$\therefore$ The force required to give it an acceleration of 10 m/s is 30 N .