$26.$ The block's speed at point C is

a$)5\mathrm{.}3$ m$/$s

b$)5\mathrm{.}8$ m$/$s

c$)6\mathrm{.}3$ m$/$s

d$)6\mathrm{.}8$ m$/$s

e$)7\mathrm{.}3$ m$/$s

$27.$ The magnitude of the normal force at point C is

a$)40$ N

b$)60$ N

c$)80$ N

d$)100$ N

e$)120$ N

$28.$ A $5\mathrm{.}0$ kg block slides along a horizontal, frictionless surface at $4\mathrm{.}0$ m$/$s$.$ The block hits an ideal

spring with spring constant $2000$ N$/$m$.$ What is the maximum distance that the spring gets compressed?

a$)0\mathrm{.}12$ m

b$)0\mathrm{.}16$ m

c$)0\mathrm{.}20$ m

d$)0\mathrm{.}24$ m

e$)0\mathrm{.}28$ m

$29.$ An ideal spring with spring constant $800$ N$/$m stands vertically on the ground. The spring is now

compressed $0\mathrm{.}40$ m and a $2\mathrm{.}0$ kg block is placed on top of the compressed spring. The block is then

released from rest and is projected upward. What is the maximum height that the block reaches above

the point it was released from? Use g $=10$ m$/$s$2.$

a$)3\mathrm{.}2$ m

b$)2\mathrm{.}8$ m

c$)2\mathrm{.}4$ m

d$)2\mathrm{.}0$ m

e$)1\mathrm{.}6$ m

$(30-31)$ A $4\mathrm{.}0$ kg block slides along a horizontal, frictionless surface at $10\mathrm{.}0$ m$/$s$.$ It collides

with a stationary $1\mathrm{.}0$ kg block and the two stick together.

$30.$ Find the speed of the blocks after the collision.

a$)8$ m$/$s

b$)7$ m$/$s

c$)6$ m$/$s

d$)5$ m$/$s