magnitude and direction of the total force exerted on the car by the track

A roller coaster car of mass 320 kilograms(including passengers) travels around a horizontal curve of radius 35 meters. Its speed is 16 meters per second. What is the magnitude and direction of the total force exerted on the car by the track?

how far the coin can be placed without having the coin slip off

A coin is placed on a record that is rotating at 33.3 revolutions per minute. If the coefficient of static friction between the coin and the record is 0.1, how far from the center of the record can the coin be placed without having it slip off?

Optics question, prisms, field strength, internal reflection, infinity microscope

A laser beam of amplitude E0 is directed into a semi-circular prism, towards the flat surface side and internally reflected against the flat face so that the angle of incidence q is beyond the critical angle. How does the field strength as you move the laser up along the vertical direction, from the interface change with distance from prism flat surface? If the laser wavelength is 0.6 µm, the refractive index of the prism is 1.5, and angle= 70 0 , calculate the height from the interface for the intensity to drop off by a factor of 2. See attached file for full problem description.

newton's second law of motion

Scientists are experting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net froce accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to speed?

newton, s second law of motion

An airplane has a mass of 3.1 x 10^4 kg and takes off under the influence of a constant net force of 3.7 x 10^4 N. What is the net forcethat acts on the plane,s 78-kg pilot?