Question $3(5$ points$)$

A crane, shown in Figure below, lifts a

steel girder of $2\mathrm{.}4{10}^{3}kg$ with a

constant force that is equal to $10,607$

N$.$ When the steel girder is lifted by $2$

m $,$ determine its speed.

Question $2(4$ points$)$

The $0\mathrm{.}35-kg$ plunger is released from

rest in the position shown where the

spring of stiffness $k=500\frac{N}{m}$ has

been compressed to one$-$half its

uncompressed length of $200$ mm $.$

Calculate the maximum height h above

the starting position reached by the

plunger. Give your answer in mm $.$

Question $1(3$ points$)$

During a brake test, the rear$-$engine car

is stopped from an intitial speed of $100$

$k\frac{m}{h}$ in a distance of $50$ m $.$ If it is

known that all four wheels contribute

equally to the braking force, determine

the braking force F at each wheel.

Assume a constant deceleration for the

$1,263\mathrm{.}7-kg$ car. Give your answer in N $.$

A ball A of mass $1$ kg strikes a block B

of mass $2\mathrm{.}9$ kg resting on a horizontal

plane as shown in Figure below. The

ball has a velocity of $10\frac{m}{s}$ to the

right just before striking the block and

$5\frac{m}{s}$ to the left just after the strike. If

the coefficient of friction between the

block and the plane is $0\mathrm{.}15,$ determine

the coefficient of restitution between

the ball and the block.