A golfer hits a shot to a green that is elevated 2.50 m above the point where the ball is struck. The ball leaves the club at a speed of 17.8 m/s at an angle of 50.0˚ above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

If you have a bowl of ice that's melting, so the ambient temperature is just above 0

In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 1.94 m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players?

can you also please do the same question but use 1.02 m/s so,

In attempting to pass the puck to a teammate, a hockey player gives it an initial speed of 1.02 m/s. However, this speed is inadequate to compensate for the kinetic friction between the puck and the ice. As a result, the puck travels only one-half the distance between the players before sliding to a halt. What minimum initial speed should the puck have been given so that it reached the teammate, assuming that the same force of kinetic friction acted on the puck everywhere between the two players?

This would help so much if you could answer both 1.94 and 1.02 m/s.. THANKS!

Consider two identical point sources a distance d apart emitting identical waves of wavelength λ, but in this problem, one of the sources is phase shifted from the other by 180 degree.

A) What is the intensity as a function of angle?

B) In which directions is the intensity a maximum?

C) In which directions is the intensity a minimum?

D) What is the minimum intensity?

An injured monkey sits perched on a tree branch 6.0 m above the ground, while a wildlife veterinarian is kneeling down in the bushes 86.5 m away attempting to subdue the monkey with a tranquilizer gun. The vet knows that the moment the gun fires the monkey will be frightened and fall down from the branch. What angle up from the ground must the veterinarian aim the gun so that the tranquilizer dart will hit the falling monkey?

5. Laser-induced interstitial thermotherapy (LITT) is one of the most recent developments in laser therapies for cancer treatment. Discuss the principal idea of LITT, its most important applications, and how it can be used for minimally invasive surgery.

a 0.426-kg block sliding from A to B along a frictionless surface. When the block reaches B, it continues to slide along the horizontal surface BC where the kinetic frictional force acts. As a result, the block slows down, coming to rest at C. The kinetic energy of the block at A is 39.0 J, and the heights of A and B are 12.4 and 6.10 m above the ground, respectively. (a) What is the value of the kinetic energy of the block when it reaches B? (b) How much work does the kinetic frictional force do during the BC segment of the trip?

An ideal spring is lying horizontally on a frictionless surface. One end of the spring is attached to a wall. The other end is attached to a moveable block that has a mass of 5 kg. The block is pulled so that the spring stretches from its equilibrium position by 0.65 m. Then the block is released (from rest), and as a result the system oscillates with a frequency of 0.40 Hz (that's 0.40 rev/sec) Find:

                Show all your steps

a) The acceleratiuon of the block when the spring is stretched by 0.28 m.

b) the maximum force magnitude exerted by the spring on the block.

c)the oscillation frequency of a 2.5 kg blcok under the same circumstances (i.e. with the same spring and initial displacement).

(a) Find the size of the smallest detail observable in human tissue with 22.5 MHz ultrasound. Incorrect: Your answer is incorrect. mm (b) Is its effective penetration depth great enough to examine the entire eye (about 3.00 cm is needed)? Yes No What is the effective penetration depth? cm (c) What is the wavelength of such ultrasound in 0°C air? µm

A bucket of water of mass 15.1 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.330 m with mass 13.0 kg . The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 11.0 m to the water. You can ignore the weight of the rope.

a-What is the tension in the rope while the bucket is falling?

Take the free fall acceleration to be g = 9.80 m/s2 .

b-With what speed does the bucket strike the water?

Take the free fall acceleration to be g = 9.80 m/s2 .

c-What is the time of fall?

Take the free fall acceleration to be g = 9.80 m/s2 .

d-While the bucket is falling, what is the force exerted on the cylinder by the axle?

Take the free fall acceleration to be g = 9.80 m/s2 .

A series of object are being rotated. The same net torque is being applied to each object. Rank the object in order of the resulting angular acceleration (1=lowest).

A solid disk spinning about its center. Total mass is M and a radius of 2R.
A hoop spinning about its center. Total mass is M and the radius is R.
An object consisting of two objects connected by a massless rod. Each object has a mass of 2M and is a distance R from the axis of rotation.
A solid disk spinning about its center. Total mass is M and a radius of R.

Two masses are connected by a light string passing over a light, frictionless pulley as in Figure P5.63. The m1 = 5.30 kg object is released from rest at a point 4.00 m above the floor, where the m2 = 3.35 kg object rests.

A sky diver of mass 53 kg can slow herself to a constant speed of 92 km/h by orienting her body horizontally, looking straight down with arms and legs extended. In this position, she presents the maximum cross-sectional area and thus maximizes the air-drag force on her.

1) a) What is the magnitude of the drag force on the sky diver?

b) If the drag force is equal to bv², what is the value of b?

c) At some instant she quickly flips into a "knife" position, orienting her body vertically with her arms straight down. Suppose this reduces the value of b to 50 percent of the value in Parts (a) and (b). What is her acceleration at the instant she achieves the "knife" position?

46. A ball is west of the edge of a ledge and force is applied in the manner in the following Table. The ball weighs 3 kg. There are other forces at work – like gravity and a normal force, which are not in the table (yet?). Assume no friction and no drag.

A) What is the resulting acceleration of the ball?

B) After 10 seconds, what would be the velocity of the ball?

C) After ten seconds how much work would be done?

D) Since the ledge potentially interferes with the possible travel of part a. (if the ball is not far enough away and falls off), assume that the velocity when the ball leaves the edge of the cliff is 7.5 m/s.Calculate the magnitude of the Kinetic Energy of the ball at that time.

E) If the ledge is 20 feet high and Forces 1 and 2 are discontinued when the ball moves off the ledge, what is the Potential Energy of the ball leaving the edge?

F) What is the total energy of the ball leaving the edge of the cliff, based on d. and e.?

G) All of the energy is converted to kinetic energy just before the ball hits the ground. What is the velocity of the ball at that time?

H) At ground level there is actually a small puddle into which the ball splashes.Assume inconvenient losses result in 75% efficiency and convert all of the balls remaining kinetic energy into thermal energy.What is the temperature change in the 200 kg of water remaining in the pond?

I) What theory and formulae are necessary for these calculations?

J) How far from the foot of the vertical cliff did the ball hit the ground at the bottom of the cliff?