A 1.00 kg glider attached to a spring with a force constant 49.0 N/m oscillates on a horizontal, frictionless air track. At t = 0, the glider is released from rest at x = -2.7 cm. (That is, the spring is compressed by 2.7 cm.)
(a) Find the period of its motion.
(b) Find the maximum values of...
A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank through a hose of diameter 6.15 cm. The hose ends with a nozzle of diameter 2.35 cm. A rubber stopper is inserted into the nozzle. The water level in the tank is kept 7.50 m...
A 10.5 kg block of metal measuring 12 cm 10 cm 10 cm is suspended from a scale and immersed in water. The 12.0 cm dimension is vertical and the top of the block is 5.25 cm below the surface of the water.
(a) What are the forces acting on the top and on the bottom of the block? (Use P0 =...
A bathysphere used for deep-sea exploration has a radius of 1.52 m and a mass of 1.20 x 104 kg. To dive, this submarine takes on mass in the form of sea water. Determine the amount of mass that the submarine must take on if it is to descend at a constant speed of 1.10 m/s, when the resistive...
(a) A swimming pool has dimensions 28.0 m 12.0 m and a flat bottom. When the pool is filled to a depth of 1.90 m with fresh water, what is the force caused by the water on the bottom?
(b) What is the force on each end? (The ends are 12.0 m.)
(c) What is the force on each side? (The sides are...
a) Calculate the pressure at an ocean depth of 550 m. Assume that the density of sea water is 1022 kg/m3 and that the air above exerts a pressure of 101.3 kPa.
b) At this depth, what force must the frame around a circular submarine porthole having a diameter of 32.0 cm exert to counterbalance...
I found that the speed of the arrow before the collision was:
KE = 1/2mv^2
9.8 J = 1/2(0.2 kg)(v)^2
v = 98 m/s
And used the equation:
m1v1i + m2v2i = (m1 + m2)vf
And found that the final velocity was 2.8 m/s
How do you start part (B)
At a ride in an amusement part a cart, with a mass of 150 kg, rolls down a long curved hill. The height of the hill is 50 m and the length of the track that the cart follows is 300 m. As the cart rolls down the hill, it experiences both a rolling frictional force and air resistance. The net...
Robin Hood is walking through Sherwood Forest when he comes upon the Sheriff of Nottingham. The Sheriff tells Robin Hood he is going to arrest him for numerous misdeeds. Robin pulls out his bow, loads an arrow, pulls the bow back 0.70 m, and shoots an arrow into the Sheriff's hat, knocking the...