An m= 1,070 kg car passes over a hump with a velocity of v =12.1 m/s in a road that follows the arc of a circle of radius r =66 m. Find the normal force that the road exert on the car as the car passes the lowest point of the hump in units of N (Newton). Take g=9.8 m/s2, and round off your result to 1 decimal place.

A car of mass 1800 kilograms passes over a hill that has an arc with a radius of 42 meters. If the car is moving with a speed of 16 meters / second at the top of the hill, what g-force does the car experience?

A small object of mass 0.500 kg is attached by a 0.840 m-long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 8.80 m/s. What is the tension in the cord?

Aliens declare war on Earth by dropping an asteroid on our planet.  The asteroid starts at rest from a distance of 37 x 106 m from the center of Earth.  Calculate the speed with which the asteroid hits Earth's surface, in km/s.  Use that G = 6.7 x 10-11 N m2 / kg2, MEarth = 6 x 1024 kg, and REarth = 6 x 106 m. (Please answer to the fourth decimal place - i.e 14.3225)

A cyclist competes in a one-lap race around a flat, circular course of radius 140 m. Starting from rest and speeding up at a constant rate throughout the race, the cyclist covers the entire course in 60 s. The mass of the bicycle (including the rider) is 76 kg. Find Ff,net, the magnitude of the net force acting on the cyclist at the finish line. What is the magnitude of the net force Fnet acting on the bicycle as it crosses the finish line?

Our solar system is roughly 2.2 x 1020 m away from the center of the Milky Way galaxy, and the system is moving at roughly 231.4 km/s around the galaxy's center. Since most of the galaxy's mass is near its center (and we are on an outer arm of this spiral galaxy), let's model the galaxy has a spherical mass distribution (like a single, giant star that our system is orbiting around).  What is the mass of the galaxy (according to our rough, spherical model)? Obviously, this will be a VERY big answer, and so enter in your answer to the order of 1040 kg. In other words, calculate the answer, and then divide by 1040 and then enter in the result.  BTW - by assuming that all mass in the galaxy is made up of stars that are about the same mass as our sun, it isn't too hard to then estimate how many stars are in the galaxy!). As an another aside, some measurements and observations that we have taken in Astronomy suggests that in reality, stars only make up a fraction of the total mass

At the surface of planet X, a 1 kg object weighs 4 N (planet radius R=106m). A space probe passes by planet X with the nearest point (A) at 8R from the center. When the probe was very far away it had a speed of sqrt(2gxR), where gx is the acceleration of gravity at the planet surface. Find a value for the speed of this probe when it is at point A, vA.

A roller-coaster car has a mass of 513 kg when fully loaded with passengers. The path of the coaster from its initial point shown in the figure to point B involves only up-and- down motion (as seen by the riders), with no motion to the left or right. Assume the roller-coaster tracks at points and are parts of vertical circles of radius ₁ = 10.0 m 15.0 m, respectively. and r2 = B (a) If the vehicle has a speed of 19.9 m/s at point, what is the force exerted by the track on the car at this point? N (b) What is the maximum speed the vehicle can have at B and still remain on the track? m/s

What is the maximum speed (in m/s) that a car with a mass of 370 kg can have at point B in order for its weight to hold it to the track? (Hint: treat the car's motion at point B like uniform circular motion; the weight of the car is providing the centripetal force. How fast can the car go while remaining in its circular path?)