Mechanics | Relativity Answers

Answer the following with full solution.

1.) A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

2.) A feather is dropped on the moon from a height of 1.40 meters. The acceleration 

of gravity on the moon is 1.67 m/s

2. Determine the time for the feather to fall to the surface of the moon.

3.) An engineer is designing the runway for an airport. Of the planes that will use the 

airport, the lowest acceleration rate is likely to be 3 m/s². The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

Answer the following with full solution.

1. ) A shot is project 40° from the horizontal at the rate of 30 ft/s. (a) Find the maximum height (b) the maximum range of projectile.

2. ) A drop hammer of 1 ton weight capacity is projected downward by a 12 inch diameter cylinder. At 100 psi air pressure, what is the impact velocity if the stroke is 28 inches.

3.) A projectile is fired up the inclined plane at an initial velocity of 15 m/s. The plane is making an angle of 30° from the horizontal. If the projectile was fired at 30° from the incline, compute the maximum height z measured perpendicular to the incline that is reached by the projectile. Neglect air resistance.

Answer the following with full solution.

1.) A stone is thrown vertically up from the ground with a velocity of 400 ft per sec. How long must one wait before dropping a second stone from the top of an 800ft tower if the two stones are to pass each other 300 ft from the top of the tower?

2.) It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s², determine the speed of the Jaguar before it began to skid.

3.) A capsule orbit the earth at the rate of 6000 m/s. If the radius of the Earth is 3000km, find the height of capsule from the surface of the Earth.

An elastic cord can be stretched to its elastic limit by a load of 2N. If a 35cm length of the cord is extended 0.6cm by a force of 0.5N what will be the length of the cord when the stretching force is 2.5N?

A student walks 625m west and 475m north, calculate the distance of the student walk. Calculate the displacement of student walking west.

Calculate the displacement of student walking north

a block of 18kg is pushed along a horizontal frictionless surface by a horizontal force of 80N. the block start from rest. compute the kinetic energy after 6 seconds

10.) A bullet is fired at an initial velocity of 150 m/s and an angle of 56° at the top of a 120 m tall building. Neglecting air resistance, determine the following:

a. The maximum height above the level ground that can be reached by the bullet.

b. The time for the bullet to hit the ground.

c. The velocity with which the bullet will hit the ground

7. ) A shot is project 40° from the horizontal at the rate of 30 ft/s. (a) Find the maximum height (b) the maximum range of projectile.

8. ) A drop hammer of 1 ton weight capacity is projected downward by a 12 inch diameter cylinder. At 100 psi air pressure, what is the impact velocity if the stroke is 28 inches.

9.) A projectile is fired up the inclined plane at an initial velocity of 15 m/s. The plane is making an angle of 30° from the horizontal. If the projectile was fired at 30° from the incline, compute the maximum height z measured perpendicular to the incline that is reached by the projectile. Neglect air resistance.

4. ) A stone is thrown vertically up from the ground with a velocity of 400 ft per sec. How long must one wait before dropping a second stone from the top of an 800ft tower if the two stones are to pass each other 300 ft from the top of the tower?

5.) It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -3.90 m/s², determine the speed of the Jaguar before it began to skid.

6. ) A capsule orbit the earth at the rate of 6000 m/s. If the radius of the Earth is 3000km, find the height of capsule from the surface of the Earth.

1.) A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

2.) A feather is dropped on the moon from a height of 1.40 meters. The acceleration 

of gravity on the moon is 1.67 m/s

2. Determine the time for the feather to fall to the surface of the moon.

3.) An engineer is designing the runway for an airport. Of the planes that will use the 

airport, the lowest acceleration rate is likely to be 3 m/s². The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?