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A projectile starts at the coordinate origin, where the displacement vector also originates. The initial velocity, v→0, makes an angle θ0 with the horizontal where 0

A 20.0 kg block on a horizontal surface is attached to a light spring (spring constant k=8.00×103 Nm). The block is pulled 10.0 cm to the right from its equilibrium position and released from rest. When the block has moved 2.00 cm toward its equilibrium position, its kinetic energy is 12.5 J. How much work is done by the frictional force on the block as it moves ?

A driver in a car traveling east at 24.00 ms notices a washed-out bridge 15.00 m ahead of the car. (a) What is the required minimum magnitude of the acceleration of the car in order for it to avoid running over the edge of the washed-out bridge? If the car only accelerates with half of the acceleration determined in (a) and the width of the river is 10.00 m, (b) will the car be able to cross the river without falling into water if another side of the river is 2.00 m below (see Fig. 1.1)? If the car only accelerates with half of the acceleration determined in (a) and the width of the river is 10.00 m, (c) what is the angle of the car to leave the edge of the washed-out bridge with the speed determining in (b) in order for it to avoid falling into water if another side of the river is at the same level (see Fig. 1.2)? If the car traveling east at 24.00 ms and an elephant ahead of the car traveling east at 6.00 ms, what is the minimum magnitude of the acceleration of the car in order for it to avoid hitting the elephant? (e) What are the direction and magnitude of the velocity of the center of mass of the car and elephant system if the mass of the car is 800.00 kg and the mass of the elephant is 500.00 kg at the moment that the elephant is being noticed by the driver?

Which one of the quantities below has dimensions equal to MLT2?

A frictionless track is shown in Fig. 4.1 below. A block of mass m = 5 . 00   k g  slides down an incline of height h = 15 . 0   m with an angle of inclination α = 60 . 0 ° . It passes points A, B, C, D, E, A of a circle of radius R = 10 . 0   m  before returning to the horizontal track. (a) What minimum speed v 1 , m i n  does the block have to start in order for it to complete the circular motion without falling? If the block starts at height h = 15 . 0   m  with an initial speed of v 1 , i = 1 . 50 v 1 , m i n , (b) what is the magnitude and direction of the normal force exerted on the block when it is at point C, which is the top of the circle? If the track has a small rough region with coefficient of kinetic friction μ k = 0 . 600  and the length of the region is l = 10 . 0   m , as shown in Fig. 4.2, (c) what minimum speed v 2 , m i n  does the block have to start with after releasing from the incline of height h = 15 . 0   m  in order for it to complete the circular motion without falling? If the block starts at h = 15 . 0   m  with an initial speed of v 2 , i = 1 . 50 v 2 , m i n  and goes through the track shown in Fig. 4.2, (d) what are the magnitude and direction of the normal force exerted on the block when it is at point E, which is 60 . 0 °  from the vertical, and (e) what are the magnitude and direction of the block’s tangential acceleration at point E? (Note: Fig. 4.1 is for questions (a) and (b); and Fig. 4.2 is for questions (c), (d), and (e).) fig4_q20.jpg

In The Souls of Black Folks, W. E. B. Du Bois declares that the problem of the twentieth century is the problem of the color line. In a five-paragraph essay, explore how Du Bois’s “The Comet,” N. K. Jemisin’s “Those Who Stay and Fight,” and Ryan Coogler’s The Black Panther articulate their utopian visions in relation to this color line. In your conclusion, think about which of these is the most viable solution for utopia.

How does the short story “In Persuasion Nation” recall the Land of Cockaigne? What important differences are there? OR How does “Jon” recall Plato’s Allegory of the Cave?

What do Marx and Engels mean when they write, “The history of all hitherto existing society is the history of class struggles”?

What is degrowth communism?

Pick one of the double page spreads and explain how you could use it to teach print referencing in a shared reading. Please identify the book in your answer. Name the print referencing domain and instructional focus in your explanation.    Bang, M. (2004). When sophie gets angry-Really, really angry. Scholastic.    Keller, L. (2009). Do unto otters- A book about manners. Square fish.