Mechanics | Relativity Answers

Cars are equipped with flexble bumpers, so that they will bounce off each other during low-speed collisions. In one particular accident, an 1800 kg car traveling at 1.60 m/s to the left collides with a 1300 kg car that is moving at 1.25 m/s to the right. If the lighter car moves at 0.520 m/s to the left just after the collision and ignoring any road friction, (a) what is the speed of the heavier car just after the collision? (b) What is the change in the combined kinetic energy of the two-car system during this collision?

A bat strikes a 0.160 kg baseball. Just before impact, the ball is travelling horizontally to the right at 45.0 m/s, and it leaves the bat traveling to the left at an angle of 36.9 above the horizontal with at speed of 60.0 m/s. If the ball and the bat are in contact for 1.75 ms, (a) find the components of the

impulse of the net force on the ball. (b) What is the magnitude and direction of the average force on the ball?

Two vehicles are approaching an intersection. One is a 2800 kg pick-up traveling at 15.0 m/s from) west to east, and the other is 1750 kg sedan moving north to south at 23.0 m/s. (a) What are the

magnitude of the individual momentum of each vehicle? (b) What is the magnitude and direction of the total momentum of the system? (c) What is their total kinetic energy?

determine the constant force required to cause the 0.5-kg slider to have a speed at position 2. the slider starts from rest at position 1 and the unstretched length of the spring of modu-lus is 200 mm. neglect friction.

In your words explain how the theory of light resolves the conflict between newtonian mechanics and maxwell theory

The resistance 𝑅𝜃 of a particular resistance thermometer at a Celsius temperature 𝜃 as measured by a constant-volume gas thermometer is given by

𝑅𝜃 = 50.00 + 0.1700𝜃 + 3.00 × 10−4𝜃2.

Calculate the temperature as measured on the scale of the resistance thermometer which corresponds to a temperature of 60°𝐶 on the gas thermometer.

An ideal spring of negligible mass with force constant of 400 N/m is placed on a frictionless horizonal

table with one end fixed at a wall next to the table. A billiard ball of mass 200 g is pushed against the spring, compressing the spring to some distance. After the system is released, the spring returns to equilibrium with the billiard ball leaving the table's edge at 4.00 m/s and hits the floor 80 cm below. Using the principle of energy conservation, (a) determine the initial compression of the spring. (b) What is the speed of the ball when it hits the floor?

A spherical asteroid has a radius of 500 km and the gravitational acceleration on the surface of the asteroid is 3 m/s?. (a) What is the minimum kinetic energy required for a 20 kg of object to escape from the asteroid? (b) At what speed will the object hit the surface of the asteroid if it is dropped from a height of 10 km?

a) As the meteor falls through the atmosphere the gravitational force continues to act on it. Suppose in a given instance the meteor is at a distance of 4000 km from earth. What would be the direction of the force that acts on it at that location?

b) Imagine it has approached near earth and now it is at a distance of 400 km from earth. What will be the direction of the gravitational force now?