Question

In: Chemistry

A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in...

A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in the air, as shown in (Figure 1). The spring has spring constant k=667N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y=0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis.

Find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y=0).

Find the maximum height hmax of the ball.

Which of the following actions, if done independently, would increase the maximum height reached by the ball?

Check all that apply.

reducing the spring constant k
increasing the spring constant k
decreasing the distance the spring is compressed
increasing the distance the spring is compressed
decreasing the mass of the ball
increasing the mass of the ball
tilting the spring gun so that it is at an angle θ<90 degrees from the horizontal

Solutions

Expert Solution


Related Solutions

A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in...
A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in the air, as shown in (Figure 1) . The spring has spring constant k=667N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y=0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in...
A spring-loaded toy gun is used to shoot a ball of mass m=1.50kg straight up in the air, as shown in (Figure 1) . The spring has spring constant k=667N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y=0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
A spring-loaded toy gun is used to shoot a ball straight up in the air. (Figure...
A spring-loaded toy gun is used to shoot a ball straight up in the air. (Figure 1) The ball reaches a maximum height H, measured from the equilibrium position of the spring.The same ball is shot straight up a second time from the same gun, but this time the spring is compressed only half as far before firing. How far up does the ball go this time? Neglect friction. Assume that the spring is ideal and that the distance by...
A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a...
A spring-loaded toy gun shoots straight up, and the toy rocket (m = 250g) reaches a maximum height hmax of 15.0 m when the spring is compressed 7.0 cm from its equilibrium position. What is the value of the spring constant, ks? (neglect friction with air and gun and assume an ideal spring)
A ball of mass m is shot straight up into the air by a spring-loaded launcher....
A ball of mass m is shot straight up into the air by a spring-loaded launcher. Initially, the spring is compressed by a distance D. After the spring is released, the ball has a velocity v out of the launcher and finally reaches a maximum height H. Ignoring air resistance, which of the following statements are true? True False  If the spring constant is doubled, the ball will max out at height 8H True False  The initial potential energy of the spring...
A ball of unknown mass m is tossed straight up with initial speed v. At the...
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 below. 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....
A gun is used to shoot a target located at a distance of 100.0m. The gun...
A gun is used to shoot a target located at a distance of 100.0m. The gun is pointed horizontally at a height of 1.3 m above the ground. At the impact with the target, 78% of the kinetic energy of the bullet is absorbed by the target, and all vertical velocity is lost. The bullet rebounds hitting the shooter in the knee (between 50.0 and 50.2 cm above the ground). Calculate the initial velocity of the bullet with a 0.1...
The spring of a toy gun has a force constant of k = 533 N/m and...
The spring of a toy gun has a force constant of k = 533 N/m and negligible mass. The spring is compressed the length of the gun barrel, 7.25 cm, and a 0.168-g ball is placed against the compressed spring. A constant frictional force of 5.45-N acts on the ball as it travels through the barrel. The ball leaves the barrel at the moment that it loses contact with the spring. The toy gun is ‘fired’ at a height of...
A spring-loaded gun fires a 0.080-kg puck along a tabletop. The puck slides up a curved...
A spring-loaded gun fires a 0.080-kg puck along a tabletop. The puck slides up a curved ramp and flies straight up into the air. (a) If the spring is displaced 24.0 cm from equilibrium and the spring constant is 875 N/m, how high does the puck rise, neglecting friction? x = m (b) If instead it only rises to a height of 5.00 m because of friction, what is the change in mechanical energy? Wnc =
A ball of mass, m is thrown straight up and rises h after leaving your hand,...
A ball of mass, m is thrown straight up and rises h after leaving your hand, it momentarily stops. Acceleration due to gravity g is downward. Ignore air resistance. Part A (5 points): If the ball is the system, and the Earth is the surroundings, what is the change in potential energy, ΔUsys of the system, and what is the work done, Wsurr by the surroundings ? Δ Usys = 0; Wsurr = -mgh Δ Usys = mgh; Wsurr =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT