Question

In a junkyard, a crane with a giant magnet lifts cars. The magnet can apply a maximum force of $40,000$ Newtons. A certain truck weighs $25,000N$.
What is the maximum rate at which the magnet can accelerate the truck upward while lifting it?

• A. $4.28m/s^2$
• B. $0.600m/s^2$
• C. $1.67m/s^2$
• D. $5.88m/s^2$
• E. $7.35m/s^2$

Answer 1

Answer: (D)

$5.88m/s^2$

Given : $W=25,000$ N $F=40,000$ N

Thus mass of truck $m=\frac{W}{g}=\frac{25000}{9.8}=2551$ kg

Let the acceleration of the truck be $a$.

$\therefore$ $ma=F-W$

OR $2551a=40000-25000$ $⟹a=5.88$ $m/s^2$