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A car with a mass of 1000 kg is moving at a speed of $10 m s − 1$ . As a result of the engine, it experiences a forward force of 1000 N and a retarding force of 500 N. The velocity after 10 seconds will be:

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10 m s − 1

15 m s − 1

20 m s − 1

Zero

answer is B.

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Detailed Solution

Concept: The formula of Force is

where

is the mass of the car and a is the acceleration
Mass of the car,

m = 1000 kg

Velocity of the car,

u = 10 m s − 1

Forward force,

F = 1000 N

frictional force,

f = 500 N

Time taken,

t = 10 s

So, the net force

(F) = 1000 N − 500 N

(F) = 500 N

(F) = m a

where

m

is the mass of the car and a is the acceleration.

a = (F) / m

a = 500 / 1000

a = 0.5 m s − 2

final velocity of the car,

V = u + at V = 10 + 0.5 × 10 V = 15 m s − 1

Hence, the correct option is 2.

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