Mechanics | Relativity Answers

A pilot is required to fly directly from London, UK, to Rome, Italy.In order toarrive in Rome on time, the velocity of the plane relative to the ground must be 400 km/h [S43°E].If a wind is blowing with a velocity of 75 km/h [S], determine what the velocity of the plane relative to the air must be in order for the pilot to arrive in Rome on time.

An aircraft traveling with a velocity relative to the air of 320 km/h [S62°W] passes over Winnipeg.The wind velocity is 72 km/h [S].Determine the velocity of the plane relative to the ground.

A ladder leen again a perfectly smooth vertical wall at angle of 30 to the horizontal.,

A load of 800N placed 3/4 of the way up, the ladder if the ladder rest at a rough horizontal surfaces which prellent shipping. Find the magnitude and direction of the reaction between the ladder and the ground.

A lifting machine has velocity ratio of 4 and can lift a load of 100kg when an effort of 327N is applied . If the acceleration due to gravity is 10m/s square Find:

a.)The efficiency of the machine.

b.)The effort required to overcome friction.

c.)Work done against friction when the load is lifted through a distance of 2m.

With the help of the diagram explain how you would determine the weight of the metre rule when you have been provided with a 50g mass metre rule, string and a pivot

8. A ball rolls horizontally with a speed 0f 7.6 m/s off the edge of a tall platform. If the ball lands 8.7 m from the point on the ground directly below the edge of the platform, what is the height of the platform?

9. A stone thrown off a bridge 20 m above a river has an initial velocity of 12 m/s at an angle of 45° above the horizontal.

What is the range of the stone?

At what velocity does the stone strike the water?

26. A ball with a horizontal speed of 1 m/s rolls off a bench 2 m high.

How long will the ball take to reach the floor?

How far from a point on the floor directly below the edge of the bench will the ball land?

27. An electron is ejected horizontally at a speed of 1.5 X10⁶ m/s from the electron gun of a computer monitor. If the viewing screen is 35 cm from the end of the gun, how far will the electrons travel in the vertical direction before hitting the screen?

A young girl standing on a bridge throws a stone with an initial velocity of 12 m/s at a downward angle of 45° to the horizontal, in an attempt to hit a block of wood floating in the river below. If the stone is thrown from a height of 20 m and it just reaches the water when the block is 13 m from the bridge, does the stone hit the block?

a. An astronaut has a mass of 70 kg when measured on Earth. What is her weight in deep space, far from any celestial body? What is her mass there?

b. Here is a story of a horse and a farmer: One day, the farmer attaches a heavy cart to the horse and demands that the horse pull the cart. “Well,” says the horse, “I cannot pull the cart, because, according to Newton’s third law, if I apply a force to the cart, the cart will apply an equal and opposite force on me. The net result will be that I cannot pull the cart, since all the forces will cancel. Therefore, it is impossible for me to pull this cart.” The farmer was very upset! What could he say to persuade the horse to move?

Determine the frequency with which each value occurred and tabulate the data accordingly.