A ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a height h m above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, h ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What is the mass of the ball, m, assuming that there is no friction or air resistance? Using g to represent the acceleration due to gravity, enter an expression for m in terms of g, h, d, k, and v. m =

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   The scenario is repeated using a different box with a greater mass. The spring is compressed the same distance x.   Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h. Students derive an equation for h in the original scenario, h= (sin2theta)kx2/2Mg, which may or may not be correct. Is this equation consistent with your claim…

A vertical spring with a spring constant k = 40 N/CM is compressed 10.0 cm from equilibrium. A ball of mass 300 g is launched from the spring. What maximum height does the ball reach above its starting position.

A block with mass m = 2.20 kg is placed against a spring on a frictionless incline with angle e = 30.0°. (The block is not attached to the spring.) The spring, with spring constant k = 21.0 N/cm, is compressed 17.0 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point?

A block of mass m = 2.80 kg is dropped from height h = 46.0 cm onto a spring of spring constant k = 986 N/m (see the figure). Find the maximum distance the spring is compressed. WI peeeeeeee

O Macmillan Learning A ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a height h above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What is the mass of the ball, m, assuming that there is no friction or air resistance? Using g to represent the acceleration due to gravity, enter an expression for m in terms of g, h, d, k, and v. m = ||N|- =-= kxx ² gh kg m V h th kogum

A spring loaded toy dart gun shoots a dart straight up in the air and the dart reaches a maximum height of 22.90 m. The same dart is shot straight up a second time but this time the spring is compressed only half as far. How far up in meters does the dart go this time neglecting friction? Write your answer to 2 decimals. Your Answer: Answer