The particle travels along the path defined by the parabola y=0.5x^2. If t

Two blocks with masses 4.00 kg and 8.00 kg are connected by string and slide down a 30.0 degree inclined plane. The coefficient of kinetic friction between the 4.00-kg block and the plane is 0.25; that between the 8.00-kg block and the plane is 0.35.
a) Calculate the acceleration of each block
b) Calculate the tension in the string
c) What happens if the positions of the block are reversed, so that the 4.00-kg block is above the 8.00-kg block?

A 0.50 kg ball that is tied to the end of a 1.1 m light cord is revolved in a horizontal planewith the cord making a ${\displaystyle {30}^{\circ }}$ angle, with the vertical.

a) Determine the ball speed.
b) If, instead, the ball is revolved so that its speed is 4.0 m/s,what angle does the cord make with the vertical?
c) If the cord can withstand a maximum tension of 9.1 N, what is the highest speed at which the ballcan move?

Three Children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and avery light board 3.6 m long. Two playmates are already on either end. Boy A has a mass of 50kg, and girl B a mass of 35 kg. Where should girl C, whose mass is 25 kg, placed herself so as to balance the seesaw.

A 0.450 kg ice puck, moving east with a speed of ${\displaystyle 3.00\frac{m}{s}}$ has a head in collision with a 0.900 kg puck, initially at rest. Assuming a perfectly elastic collision what will be the speed and direction of each object after the collision?

Use the two-way table of data from another student survey to answer the following question.
$\begin{array}{|cccc|}\hline & \text{ Like Aerobic }& \text{ Exercise }& \\ \text{ Like Weight Lifting }& \text{ Yes }& \text{ No }& \text{ Total }\\ \text{ Yes }& 7& 14& 21\\ \text{ No }& 12& 7& 19\\ \text{ Total }& 19& 21& 40\\ \hline\end{array}$
What is the conditional relative frequency that a student likes to lift weights, given that the student does not like aerobics?

A rock climber stands on top of a 50-m-high cliff overhanging a pool of water. He throws stones vertically downward 1.0 s apart and observes that the cause a single splash. The initial speed of the first stone was 2.0 m/s.
a. How long after the release of the first stone does the second stone hit the water?
b. What was the initial speed of the second stone?
c. What is the speed of each stone as it hits the water?

An ice cube tray of negligible mass contains 0.315 kg of water at ${\displaystyle {17.7}^{\circ }}$. How much heat must be removed to cool the water to ${\displaystyle {0.0}^{\circ }}$ and freeze it?