Question

a car is being driven by a force of 5 x 10¹⁰ N. When travelling at a speed of 10 m/s it takes 2 minutes for this car to reach the river side. Calculate the work done.​

Answer 1

Given

• F = 5 x 10¹⁰ N
• T = 2 minutes
• Speed = 10 m/s

To Find

• Work

Solution

☯ Speed = D/T & Work = Force × Displacement

• We'll use th first formula to find the distance covered, substitute in the second formula to get the work done

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✭ According to the Question :

➞ S = D/T

➞ 10 = D/(2×60)

➞ 10 × 120 = 1200 m

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So then the work done is,

➞ W = F × d

➞ W = 5 x 10¹⁰ × 1200

➞ W = (5×12) × (10¹⁰×10²)

➞ W = 60 × 10¹²

∴ The work done is 60 × 10¹² J

Answer 2

Question:

• A car is being driven by a force of 5 × 10¹⁰ N. When travelling at a speed of 10 m/s it takes 2 minutes for this car to reach the river side. Calculate the work done.

Answer:

• Work done is 60 × 10¹² J.

Step-by-step explanation:

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• Force = 5 × 10¹⁰ N
• Speed = 10 m/s
• Time = 2 minutes

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• Work done?

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— Formulae used in this question ::

$\bullet\:\large{\boxed{\bf{Distance = Speed\:\times\:Time}}}$

$\bullet\:\large{\boxed{\bf{Work\:done = Force\:\times\:Distance}}}$

— Firstly converting time into seconds from minutes. As we know that 1 minute = 60 seconds. Therefore ::

$\\ :\implies\:\sf 2\:minutes = \big(2\:\times\:60\big)\:seconds$

$\\ :\implies\:\bf 2\:minutes = 120\:seconds$

Hence, time in seconds is 120 seconds.

— Now finding distance by using formula of distance ::

$\\ :\implies\:\sf Distance = Speed\:\times\:Time$

Plugging all values in formula we get,

$\\ :\implies\:\sf Distance = 10\:\times\:120$

$\\ :\implies\:\bf Distance = 1200\:m$

Hence, distance is 1200 m.

— Now finding work done by using formula of work done ::

$\\ :\implies\:\sf Work\:done = Force\:\times\:Distance$

Plugging all values in formula we get,

$\\ :\implies\:\sf Work\:done = \big(5\:\times\:10^{10}\big)\:\times\:1200$

We can write it as,

$\\ :\implies\:\sf Work\:done = 5\:\times\:10^{10}\:\times\:12\:\times\:100$

$\\ :\implies\:\sf Work\:done = 5\:\times\:10^{10}\:\times\:12\:\times\:10^2$

$\\ :\implies\:\sf Work\:done = 5\:\times\:12\:\times\:10^{10}\:\times\:10^2$

$\\ :\implies\:\sf Work\:done = 60\:\times\:10^{(10\:+\:2)}$

$\\ :\implies\:\bf Work\:done = 60\:\times\:10^{12}\:J$

Hence, work done is 60 × 10¹² J.

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