A 5.0 kg box is attached to one end of a spring with k = 80 N/m. The other end of the spring is anchored into a wall. Inititally the box is at rest at the springs natural length from the wall (no force from the spring). A rope pulls with a constant 100 N, what is the speed of the box after traveling 50 cm? The coefficient of kinetic friction is µk = 0.3. ( 3.6 m/s )
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- A simple pendulum, 2.0 m in length, is released from rest when the support string is at an angle of 25° from the vertical. What is the speed of the suspended mass at the bottom of the swing?A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible. K = spring constant of spring X = distance the spring is compressed M = mass box Theta = angle of ramp from horizontal H = maximum height reached by box Does the mechanical energy of the box-spring-earth system increase, decrease, or remain the same from the moment the spring is released until just before the box hits the ground? Justify your answer. If air resistance were not negligible, how would that affect your answer, if at all? Justify your answer.A spring-loaded toy gun is used to launch a 10 g plastic ball. The spring, which has a spring constant of 10 N / m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoots the ball back out horizontally. What is the ball’s speed as it leaves the barrel? Assume that friction is negligible.
- A 8kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 230N. For the first 13 m the floor is frictionless and for the next 14m, the coefficient of friction is 0.3. What is the final speed of the crate in m/s?Tarzan swings on a 35.0-m-long vine initially inclined at an angle of 34.0° with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s(b) What is his speed at the bottom of the swing if he pushes off with a speed of 6.00 m/s? m/sa girl and her bicycle have a total mass of 60kg. at the top of the hill her speed is 5.0m/s. The hill is 5.0 m high and 100 m long. If the force of friction as she rides down the hill is 20N, what is her speed at the bottom?
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- 14. In the figure, a 4.0 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 6.0 m/s, the height difference is h = 1.2 m, and uk = 0.40. (1) Find the speed of the block when it just reaches the higher level (2) Find the distance d. μ = 0 -μ*You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?A 10 cm long spring is attached to the ceiling. When a 2.0 kg mass is hung from it, the spring stretches to a length of 15 cm. What is the spring constant k? How long is the spring when a 3.8 kg mass is suspended from it?