Mechanics | Relativity Answers

The cart and package have a mass of 20 kg and 5 kg respectively. If the card has a smooth surface and it is initially at rest, while the velocity of the package is as shown, determine the final velocity of the cart and package after in the impact.

A roller-coaster car with a mass of 500kg moves at the bottom of a circular dip of radius 40.0m with a speed of 10.0m/s. Find the normal force of the track on the car at the bottom of the dip. 

At the high velocity, drag force is proportional to the squared velocity of a particle as kv^2. Find its acceleration when a falling speed becomes half its terminal velocity. 

It takes the pendulum 3 seconds to swing from A through B to C and back to B. Calculate the periodic time of the pendulum.

A wave can travel at a speed 11.1 m/s on a wire that is under a tension of 5.3 N. What tension is required for a wave speed of 35.7 m/s in the same wire?

A 20 g block of ice is cooled to −65 ◦C. It is added to 577 g of water in an 80 g copper calorimeter at a temperature of 29◦C. Find the final temperature. The specific heat of copper is 387 J/kg · ◦C and of ice is 2090 J/kg · ◦C . The latent heat of fusion of water is 3.33 × 10^5 J/kg and its specific heat is 4186 J/kg · ◦C . Answer in units of ◦C.

An elevator cage is going up with a velocity of 6 m/s. When the cage was 36 m above the bottom of theshaft, a bolt gets detached from the bottom of the cage floor. Find the velocity with which the bolt strikesthe bottom of the shaft and the time that elapses.

How much work is required to raise a 0.1 kg block to a height of 2 m and simultaneously give it a constant velocity of 3 m/s? b) What is the change in its potential energy? c) What is the power output of the upward force in watts?

A mass of 100 kg is being pushed along the floor at a constant velocity of 2 m/s. If the coefficient of kinetic friction is 0.25, at what rate is work (power) being done in watts, in horsepower?

Two blocks of mass 300 g and 200 g respectively are moving toward each other along a horizontal frictionless surface with velocities of 50 cm/s and 100 cm/s, respectively. a. If the blocks collide and stick together, find their final velocity. (5 pts.) b. Find the final velocity of each block if the collision is completely elastic (e =1).