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After passing this section the block slides head on into a spring. The block momentarily stops after compressing the spring by d. The block initial speed is vo, the height difference is h, and the
If the string is tuned to 520 Hz and the violinist puts a finger down on the string one-eighth of the string length from the neck end, what is the frequency of the string when the instrument is play
Describes the force, where Fx is in newtons and x is in meters. As the particle moves along the x axis from x = 1.08 m to x = 6.50 m, calculate the following. The change in the potential energy of t
Determine the work done by the gas on the bullet as the bullet travels the length of the barrel.
The intensity of the sunlight that reaches Earth's upper atmosphere is approximately 1310 W/m^2. (a) What is the total average power output of the Sun, assuming it to be an isotropic source?
An 85 gram bullet is shot at a 3 kg piece of wood at rest on the end of a counter 1.2 m high. If the bullet becomes embedded in the block and they land 5 m from the counter, what was the initial spe
The initial speed of the skier is 8.78 m/s. After coasting a distance of 1.10 m up the slope, the speed of the skier is 4.86 m/s. (a) Find the work done by the kinetic frictional force that acts on
Starting from rest, a 91-kg firefighter slides down a fire pole. The average frictional force everted on him by the pole has a magnitude of 760 N, and his speed at the bottom of the pole is 3.5 m/s.
(a) When the internal resistance is adjusted for maximum power transfer, what is the efficiency? (b) What should be the internal resistance for maximum possible efficiency?
A 46.3-g golf ball is driven from the tee with an initial speed of 41.4 m/s and rises to a height of 24.2 m. (a) Neglect air resistance and determine the kinetic energy of the ball at its highest po
They use the echoes to detect small objects, such as insects, as small as one wavelength. If a bat emits a chirp at a frequency of 60.0 kHz and the speed of sound waves in air is 343 m/s, what is th
Determine the ratio of the normal force to the magnitude of the pilot's weight. For comparison, note that black-out can occur for ratios as small as 2 if the pilot is not wearing an anti-G suit.
A car moving with an initial speed v collides with a second stationary car that is one-half as massive. After the collision the first car moves in the same direction as before with a speed v/3. (a)
An object initially at rest breaks into two pieces as the result of an explosion. One piece (m2) has six times the kinetic energy of the other piece (m1). What is the ratio of the masses of the two
(a) What is the direction of the impulse delivered to the ball? (counterclockwise from the positive x axis) (b) What is the magnitude of the impulse delivered to the ball?
The skier's mass is 46.4 kg, and the coefficient of kinetic friction between the skis and the snow is 0.241. Find the magnitude of the force that the tow bar exerts on the skier.
Two air track carts move toward one another on an air track. Cart 1 has a mass of 0.47 kg and a speed of 0.9 m/s. Cart 2 has a mass of 0.65 kg. (a) What speed must cart 2 have if the total momentum
A worker stands still on a roof sloped at an angle of 39° above the horizontal. He is prevented from slipping by a static frictional force of 500 N. Find the mass of the worker.
Calculate the nonconservative work, Wnc, done by water resistance on the rock, the gravitational potential energy of the system, U, the kinetic energy of the rock, K, and the total mechanical energy
Take a golf ball on the moon for a lunar driving range. What speed would you need to give a lunar golf ball in order to put the ball in orbit around the Moon? Do you think it could be done?
A car (m = 1540 kg) is parked on a road that rises 17.2 ° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the
Tidal effects in the Earth-Moon system are causing the Moon's orbital period to increase at a current rate of about 35 ms per century. Assuming the Moon's orbit around the Earth is circular, to what
Assuming the descent is vertical, find the magnitude of the thrust needed to reduce the velocity to zero at the instant when the craft touches the lunar surface.