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Second Law of Motion

The speed of ...

Question

The speed of an object increases from $10 m s^{- 1}$ to $50 m s^{- 1}$ in 20 seconds. The mass of the object is 1000 kgs. What will be the force required to achieve this speed?

A

500 N

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B

1000 N

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C

1500 N

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D

2000 N

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Solution

The correct option is D 2000 N
Since, rate of change of momentum = $m \frac{(v - u)}{t}$
where m = mass of the object
v = final velocity of the object
u = initial velocity of the object
t = time
According to Newton's second law, F= ma
Thus, Force imparted to the object = $1000 \frac{(50 - 10)}{20}$
= 2000 N

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