1. A loudspeaker of mass 18.0 kg is suspended a distance of h = 2.20 m...

1. A loudspeaker of mass 18.0 kg is suspended a distance of h = 2.20 m below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 4.00 m.

a) What is the weight of the speaker?

b) What is the tension TTT in each of the cables? (Use 9.81 m/s2m/s2 for the magnitude of the acceleration due to gravity).

2. A 11.1 kg runaway grocery cart runs into a spring with spring constant 275 N/m and compresses it by 65.1 cm.

a) What was the speed of the cart just before it hit the spring?

b) What is the total energy stored in the spring after the collision?

c) What is the maximum force exerted on the cart by the spring during the collision? (Give the magnitude of the force only)

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A mass m = 1 kg is suspended from a spring that is stretched 1 cm...

A mass m = 1 kg is suspended from a spring that is stretched 1 cm under the influence of the weight of this mass. Now a periodic force is applied external of F (t) = 200 cos (vt) on the mass, which was initially in static balance. Disregarding all friction, get a relationship for position of the mass as a function of time, x (t). Also determine the value of ω which will cause resonance to occur

(a) A block of mass m = 3.90 kg is suspended as shown in the diagram...

(a) A block of mass m = 3.90 kg is suspended as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings to be negligible. If the system is in equilibrium, what will be the reading of the spring scale in newtons? N (b) Two blocks each of mass m = 3.90 kg are connected as shown in the diagram below. Assume the pulley to be frictionless and the mass of the strings...

Suspended Mass (kg) Weight of Suspended Mass (mass x 9.8 m/s2), Newtons Time (sec) Average Time...

Suspended Mass (kg) Weight of Suspended Mass (mass x 9.8 m/s2), Newtons Time (sec) Average Time Average Time2 d (m) 2d (m) Acceleration = 2d/t2 3 Washers 0.0143 0.14N Trial 1: 1.76 1.84 s 0.34 m/s2 0.6m 1.2m 0.35 m/s2 Trial 2: 1.86 Trial 3: 1.90 4 Washers 0.0191 0.19N Trial 1: 1.50 1.1 s 1.21 s2 0.6m 1.2m 0.99 m/s2 Trial 2: 1.50 Trial 3: 1.45 5 Washers 0.025 0.25N Trial 1: 1.23 1.23 s 1.51 s2 0.6m 1.2m...

A uniform rod of mass 2.20 kg and length 2.00 m is capable ofrotating about...

A uniform rod of mass 2.20 kg and length 2.00 m is capable of rotating about an axis passing through its center and perpendicular to its length. A mass m1 = 4.90 kg is attached to one end and a second mass m2 = 2.60 kg is attached to the other end of the rod. Treat the two masses as point particles. At the origina of an xy-coordinate plane a rod of length labeled l rotates around it's midpoint. Attached to...

A mass of 2 kg is suspended from a spring with known spring constant of 10N/m...

A mass of 2 kg is suspended from a spring with known spring constant of 10N/m and allowed to come to rest. it is then set in motion by giving it an initial velocity of 150 cm/sec. Find an expression for the motion of the mass, assuming no air resistance.

A uniform rod of length 2.00 m and mass 5.00 kg is suspended by two ropes...

A uniform rod of length 2.00 m and mass 5.00 kg is suspended by two ropes of negligible mass. The rope at the lower end is horizontal. The rope at the upper end makes an angle φ = 30.0◦ with the vertical. φ θ (a) Draw a free body diagram for the rod. (b) What is the tension in the upper rope? (c) What is the tension in the lower (horizontal) rope? (d) What is the angle θ the rod...

A simple pendulum consists of a small object of mass m= 0.150 kg suspended from a...

A simple pendulum consists of a small object of mass m= 0.150 kg suspended from a support stand by a light string. The string has a length L= 0.750 m. The string has an initial position given by θ= 65.0° relative to the vertical. The pendulum is released from rest. Air resistance is negligible during the subsequent motion of the pendulum. a)Calculate the work done by gravity on the pendulum as it moves from its initial position to the lowest...

A railroad car of mass 2.20 ✕ 104 kg moving at 5.00 m/s collides and couples...

A railroad car of mass 2.20 ✕ 104 kg moving at 5.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? _________________m/s (b) How much kinetic energy is lost in the collision? ________________J

A 2.20-m radius playground merry-go-round has a mass of 101.5 kg and is rotating with an...

A 2.20-m radius playground merry-go-round has a mass of 101.5 kg and is rotating with an angular velocity of 0.91 rev/s. What is its angular velocity after a 38.4-kg child gets onto it by grabbing its outer edge? The child is initially at rest. Express your answer in revs/s.

Suppose a mass m is on a spring that has been compressed a distance h. How...

Suppose a mass m is on a spring that has been compressed a distance h. How much further must the spring be compressed to triple the elastic potential energy? 1.7 h 0.73 h 1.0 h 3.0 h 2.0 h

Subjects