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?

500 N

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1000 N

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1500 N

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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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The speed of an object increases from 10 ms−1 to 50 ms−1 in 20 seconds. The mass of the object is 1000 kgs. What will be the force required to achieve this speed?

The correct option is D 2000 NSince, rate of change of momentum = m(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(50−10)20 = 2000 N

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?