A block starts at rest and slides down a frictionless track. It leaves the track horizontally, flies through the air, and subsequently strikes the ground. K 4.9 m 545 g 1.9 m V X A) What is the speed of the block when it leaves the track? The acceleration of gravity is 9.81 m/s 2. Answer in units of m/s. B) What horizontal distance does the block travel in the air? Answer in units of m. C) What is the speed of the block when it hits the ground? Answer in units of m/s.
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- joggers a and b starting from the same point , jogging in opposite direction in a circular track field.their circular path has diameter of 600 meters. if the average speed of jogger A is 3 kph and that of jogger B is to 4 kph.Compute the time they will meet. a. 16.16 b. 21.54 c. 14.54 d. 42.23 what is the correct answer on the choicesA car is driving along a circular track of diameter d = 0.75 km at a constant speed of v = 22 m/s.a. Write an expression for the magnitude of acceleration a of the car in terms of the given parameter. b. What is the magnitude, in meters per second squared, of the acceleration a of the car. c. Write an expression for the minimum coefficient of the friction μ between the car's tires and the road that is required in order to keep the car going in a circle in terms of the given parameters.A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 32 m high. When it hits the ground at the base of the cliff, the rock has a speed of 31 m/s. A) Assuming that air resistance can be ignored, find the initial speed of the rock. Express your answer using two significant figures. B) Find the greatest height of the rock as measured from the base of the cliff. Express your answer using two significant figures.
- 1. A 17.43kg object speeds up from 14.86m/s to 48.05m/s over a distance of 100.90m. What is the acceleration of the object? If the frictional force is 17.99N, what is the net acceleration acting on the object? 2. Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high surface gravity, that is why he can jump really high on Earth because the gravity on the said planet is really wimpy and cannot hold him down. Up to what height can Goku jump on planet Vegeta if he can jump on earth up to a height of 3098.88m and the planet Vegeta has 448.90% stronger gravity? Assume that Goku launched himself on the same initial velocity for both planets. What is his weight on planet Vegeta if his mass is 98.16kg? 3. A coin dropped from a certain building with a height of 4554.10m. If we hypothetically assume that the 314.87 u mol-coin is made of pure nickel and that nickel has a molar mass of 59g/mol, what is the force of the coin as it hits the asphalt?You are an engineer and asked to design a slide in the park. The qualification for the said slide is that the person's speed at the bottom of the slide should not be more than 7 m/s. Determine the maximum height of the slide that you can design. A 1.8 m B) 2.2 m 3.2 m 2.5 mConsider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A payload is released at an elevation of 400 m from a hot-air balloonthat is rising at a rate of 10 m/s.
- 2. Suppose we now have a little ball bouncing vertically and lightly on the trampoline. The ball's mass is 0.5kg. Air resistance is unchanged. At time t = 0, the ball again starts at height 0.6 m above the ground and the velocity of the ball is 0. Draw a graph of h(t) in this case and briefly explain your reasoning. Hint: you do not need to solve for y(t).Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = ν'(t) = -g, where g = 9.8 m/s2.a. Find the velocity of the object for all relevant times.b. Find the position of the object for all relevant times.c. Find the time when the object reaches its highest point. What is the height?d. Find the time when the object strikes the ground. A stone is thrown vertically upward with a velocity of 30 m/sfrom the edge of a cliff 200 m above a river.A skydiver ejects from his aircraft and falls 80 m from the ground without friction. When he opens his parachute, he decelerates at 3.5 m/s2. The skydiver hits the ground at 5 m/s. How long was the pilot in the air and at what height did he begin his fall? Show the solution and choose the answer. A. 9.8909 s, 459.17 m B. 9.8909 s, 379.17 m C. 13.9295 s, 379.17 m D. 13.9295 s, 459.17 m
- Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g= - 9.8 m/s. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 25 m/s. а. v(t) b. s(t) = %3D c. The object's highest point is m at time t= S. (Simplify your answers. Round to two decimal places as needed.) d. t= (Simplify your answer. Round to two decimal places as needed.)Computation. A frictionless roller coaster cart is moving at 8.9 m/s when it is 31.7 m above the ground. It coasts along the hilly track, at one point reaching the top of hill, 11.1 m above the ground. Find the cart's speed at the top of the hill. V= m/s Record your numerical answer below, assuming three significant figures. Remember to include a "-" if/when necessary. MA 2 kg ball is thrown off a 73 m high cliff with a speed of 4 m/s. How fast (in m/s) is the ball going when it hits the ground? Use g = 9.8 m/s2.