1) In the figure, a spring with spring constant k = 170 N/m is at the top of a f

Question

1) In the figure, a spring with spring constant k = 170 N/m is at the top of a frictionless incline of angle = 31°. The lower end of the incline is distance D = 1.1 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.24 m and released from rest. What is the speed of the canister when it reaches the lower end of the incline?

2) In the figure here, two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a table. The target box is horizontal distance D = 2.23 m from the edge of the table. Bobby compresses the spring 1.18 cm, but the center of the marble falls 25.8 cm short of the center of the box. How far should Rhoda compress the spring to score a direct hit? Assume that neither the spring nor the ball encounters friction in the gun.

3) A single conservative force F(x) acts on a 3.6 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by

U(x) = -2.3xe-x/4
where x is in meters. At x = 3.5 m the particle has a kinetic energy of 4.5 J. (a) What is the mechanical energy of the system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at which it occurs?

4) In the figure a block slides along a path that is without friction until the block reaches the section of length L = 0.64 m, which begins at height h = 1.7 m, on a ramp of angle = 32 . In that section the coefficient of kinetic friction is 0.310. The block passes through point A with a speed of 8.5 m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A?

5) In the figure, a frictionless roller coaster car of mass m = 767 kg tops the first hill with speed v0 = 15.2 m/s at height h = 35.0 m. How much work does the gravitational force do on the car from that point to (a) point A, (b) pointB, and (c) point C? If the gravitational potential energy of the car-Earth system is taken to be zero at C, what is its value when the car is at (d) B and (e) A?

6) In the figure, a frictionless roller coaster car of mass m = 817 kg tops the first hill with speed v0 = 15 m/s at height h = 42 m. What is the speed of the car at point B?

7) In the figure, a runaway truck with failed brakes is moving downgrade at 159 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of = 19°. The truck's mass is 1.2 Ý 104 kg. (a)What minimum length L must the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.) What is the minimum length L if (b) the truck's mass is decreased by 18% and(c) its speed is decreased by 17%?

In the figure a spring with spring constant Ac = 170 N/m is at the top of a functionless incline of angle theta = 31 degree The lower end of the incline is distance D = 11m from the end of the spring which is at its relaxed length A 1 5 kg canister is pushed against the spring until the spring is compressed 0 24 m and released from rest What is the speed of the canister when it reaches the lower end of the incline?

Explanation / Answer

1) 2.7233 m/s

2) 1.334 cm

3) a) 1.44 J b) 4.5285 J c) 4m

4) 5.384 m/s

5) a) 0 b) 131540.5 J c) 263081 J d) 131540.5 J e) 263081 J

6) 25.231 m/s

7) a) 305.7 m b) 305.7 m c) 210.598 m

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.