Question

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

• A. 2000 N
• B. 500 N
• C. 1000 N
• D. 1500 N

Answer 1

The correct option is A 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