A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle $\theta=42^{\circ}$ above the horizontal. What are the x and y components of the initial velocity?

A $2100 \text{ ~kg}$ truck traveling north at $41 \text{ ~km/h}$ turns east and accelerates to $51 \text{ ~km/h}$. What is the magnitude of the change in its momentum?

A stone thrown off a bridge $20\ \mathrm{m}$ above a river has an initial velocity of $12\ \mathrm{m/ s}$ at an angle of $45^\circ$ above the horizontal. (a) What is the range of the stone? (b) At what velocity does the stone strike the water?

A rock is kicked horizontally at a speed of $15 \mathrm{~m} / \mathrm{s}$ from a hill with a $45^{\circ}$ slope (Fig. 3-65). How long does it take for the rock to hit the ground?

Three uniform thin rods, each of length L=22 cm, form an inverted U. The vertical rods each have a mass of 14 g; the horizontal rod has a mass of 42 g. What are

the y coordinate of the system's center of mass?

As shown in the figure, three uniform thin rods, each of length L=22 cm, form an inverted U. The vertical rods each have a mass of 14 g; the horizontal rod has a mass of $42 \mathrm{~g}$. What are the $x$ coordinate and of the system's center of mass?

A 3.5 kg block is accelerated from rest by a compressed spring of spring constant 640 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction $\mu_k=0.25$. The frictional force stops the block in distance D=7.8 m. What are

the original compression distance of the spring?

A 3.5 kg block is accelerated from rest by a compressed spring of spring constant 640 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction $\mu_k=0.25$. The frictional force stops the block in distance D=7.8 m. What are

In the mentioned figure, a block slides down an incline. As it moves from point $A$ to point $B$, which are $6.00 \mathrm{~m}$ apart, force $\vec{F}$ acts on the block, with magnitude $2.00 \mathrm{~N}$ and directed down the incline. The magnitude of the frictional force acting on the block is $10.0 \mathrm{~N}$. If the kinetic energy of the block increases by $40.0 \mathrm{~J}$ between $A$ and $B$, how much work is done on the block by the gravitational force as the block moves from $A$ to $B$?

In the given figure, a block slides down an incline. As it moves from point A to point $B$, which are 5.0 m apart, force $\vec{F}$ acts on the block, with magnitude $2.0 \mathrm{~N}$ and directed down the incline. The magnitude of the frictional force acting on the block is $10 \mathrm{~N}$. If the kinetic energy of the block increases by $35 \mathrm{~J}$ between $A$ and $B$, how much work is done on the block by the gravitational force as the block moves from $A$ to and 67. $B$ ?

A rope is used to pull a 3.57 kilogram block at constant speed 4.06 meter along a horizontal floor. The force on the block from the rope is 7.68 Newton and directed 15.0 degree above the horizontal. What is the work done by the rope’s force?

A rope is used to pull a 3.57 kilogram block at constant speed 4.06 meter along a horizontal floor. The force on the block from the rope is 7.68 Newton and directed 15.0 degree above the horizontal. What is the increase in thermal energy of the block – floor system?

A horizontal force of magnitude 35.0 Newton pushes a block of mass 4.00 kilogran across a floor where the coefficient of kinetic friction is 0.600. What is the increase in the kinetic energy of the block?

A hunter aims directly at a target (on the same level) $38.0 \mathrm{~m}$ away. At what angle should the bow be aimed so the target will be hit?