Understand the Acceleration Due to Gravity Formula and More!

A 292 kg motorcycle is accelerating up along a ramp that is inclined 30.0° above the horizontal. The propulsion force pushing the motorcycle up the rampis 3020 N, and air resistance produces a force of 250 N that opposes the motion. Find the magnitude of the motorcycles

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?

An extreme skier, starting from rest, coasts down a mountainthat makes an angle ${\displaystyle {25.0}^{\circ }}$ with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts for a distance of 11.9 m before coming to the edge of a cliff. Without slowing down, she skis offthe cliff and lands down hill at a point whose vertical distance is 4.20 m below the edge. How fast is she going just before she lands?

A rifle with a weight of 30 N fires a 5.0 g bullet with a speed of 300m/s. (a) Find the recoil speed of the rifle. (b) If a700 N man holds the rilfe firmly against his shoulder, find there coil speed of the man and his rifle.

A rocket is fired in deep space, where gravity is negligible. In the first second it ejects of ${\displaystyle \frac{1}{160}}$ its mass as exhaust gas and has an acceleration of ${\displaystyle 16.0\frac{m}{s^2}}$. 
What is the speed of the exhaust gas relative to the rocket?

Problem: A 0.500kg block attached to a spring with the length 0.60m and force constant k=40.0 N/m is at rest with the back of the block at point A on a frictionless, horizontal airtable. The mass of the spring is negligible. You pull the block tothe right along the surface with a constant horizontal forceF=20.0-6N. 
Questions: 
A.) What is the blocks

A lunch tray is being held in one hand, as the drawing illustrates. The mass of the tray itself is 0.200 kg, and its center of gravity is located tits geometrical center. On the tray is a 1.00 kg plate of food and a 0.190 kg cup of coffee. Obtain the force T exerted by the thumb and the force F exerted by the four fingers. Both forces act perpendicular to the tray, which is being held parallel to the ground.

A weatherman carried an aneroid barometer from the groundfloor to his office atop a tower. On the ground level, the barometer read 30.150 in Hg absolute; topside it read 28.607 in hg absolute. Assume that the average atmospheric air density was 0.075lb/ft3, estimate the height of the building.

A coin with a diameter of 2.40cm is dropped on edge on to a horizontal surface. The coin starts out with an initial angular speed of 18.0 rad/s and rolls in a straight line without slipping. If the rotation slows with an angular acceleration of magnitude 1.90 rad/s, how far does the coin roll before coming to rest?

A clay vase on a potter's wheel experiences an angular acceleration of ${\displaystyle 8.00\frac{rad}{{\sec }^2}}$ due to the application of 10.0Nm net torque. Find the total moment of inertia of the vase and the potter's wheel.

The eye of a hurricane passes over Grand Bahama Island. It is moving in a dirction 60.0 degrees north of west with a speed of 41.0 km/h. Three hours later, the course of the hurricane suddenly shifts due north, and its speed slows to 25.0 km/h. How far from Grand Bahama is the hurricane 4.50 h after it passesover the island?