Normal forces are applied uniformly over the surface of a spherical volume of water whose radius is 20.0 cm. If the pressure on the surface is increased by 200 MPa, by how much does the radius of the sphere decrease?

Three blocks of mass ?1=?2=?3=1?? are stacked on a table as shown. The surfaces of the blocks and table are coated with Teflon and all have the same small coefficient of friction, ??=??=0.01. A force of 30N is applied straight down on the top mass as shown.

a) Draw a free body diagram for each mass labelling all forces.

b) Which direction might the bottom mass move and why?

c) What is the acceleration of the top mass?

A 4.00 kg ball traveling North with a momentum of 11.2 kg.m/s collides with a 6.0 kg ball traveling West with a momentum of 18 kg.m/s. The two balls stick together and head off as one. What is the momentum of the combined masses? What is the velocity of the combined masses?

s] From a distance of ra = 8.000 m, a trumpet player plays an A note, f1 = 440.0 Hz, with a sound intensity level of β1 = 58.00 dB. A tuba plays in unison with the trumpet, but is slightly out of tune and has f2 = 437.00 Hz, and its sound intensity level is β2 = 63.50 dB. a) Calculate I1 and I2, the intensities of each instrument separately. b) When they play in unison, how many decibels does their combined sound create? c) What beat frequency is heard? d) If the distance to the instruments is increased to rb = 24.00 m, what are the sound intensity levels (in dB) of the trumpet by itself, the tuba by itself, and the combined instruments?

Question text

Consider a long solenoid of length = 1m, radius = 3.0 cm and 800 turns/m. If the rate of change of current is 40 A/s what voltage is induced?

Select one:

a. 11 mV

b. 0.6 mV

c. 91 mV

d. 70 mV

e. 0.4 mV

You are advised not to open the radiator cap of the radiator of your car(pressure cap) when it is very hot. The reason is that the pressure inside radiator is more than outside atmospheric pressure and hot water will gush out if the cap is opened. Explain why radiators are designed to work under such higher pressure. That is, What is the benefit gained?

A scientist looking for meteorites on Antarctica

finds an irregularly shaped rock and

he wants to determine its density. He determines that the rock’s mass in air is 50

kg.

The Young’s modulus of steel is 200

·

10

9

Nm

-

2

. The ultimate strength of steel is

500

·

10

6

Nm

-

2

.

Q 4(a)

[5

Marks]

He hangs the rock from a

2

-

metre

-

long

steel cable with a diameter of 1

cm. Calculate

the strain and change in length of the cable

.

Q 4(b)

[5 Marks]

What would happen if he had used a cable with a diameter of only 2mm? Explain

your answer.

Thescientist now submerges the rock in a tub of water. He now determines the effective weight to be 38.5kg.

Q 4(c)

[5

Marks]

Calculate the volume and density of the rock

.

Q 4(d)

[5 Marks]

If the scientist had used alcohol (ρ=789kg/m3), would he have found a larger or smaller effective weight when the rock is submerged?

Explain your answer.

draw hertzsprug russell diagram for an open star cluster and a globular cluster and discuss the differences

A laser emits a cylindrical beam of light 4.0 mm in diameter. The average power of the laser is 2.8 mW . The laser shines its light on a perfectly absorbing surface.

How much energy does the surface receive in 14 s ?

What is the radiation pressure exerted by the beam?

The most common isotope of boron is 115B.

part b) Calculate this binding energy from equation EB=C1A−C2A2/3−C3Z(Z−1)/A1/3−C4(A−2Z)2/A±C5A−4/3. Express your answer using four significant figures. (in MeV)

part c) Why is the fifth term zero?

A quarterback throws a pass that is a perfect spiral. In other words, the football does not wobble, but spins smoothly about an axis passing through each end of the ball. Suppose the ball spins at 6.3 rev/s. In addition, the ball is thrown with a linear speed of 29 m/s at an angle of 45 ° with respect to the ground. If the ball is caught at the same height at which it left the quarterback's hand, how many revolutions has the ball made while in the air?

State the Three Laws of Thermodynamics (2nd Law has multiple parts).

Two beams of electrons, beam 1 and beam 2, are moving along straight lines perpendicular to the page. We take the page to be the xy-plane. Beam 1 is moving into the page and intersects the page at point (−2, cm, 0 cm). Beam 2 is moving out of the page and intersects the page at point (2, cm, 0 cm). The streams of electrons are otherwise identical, each carrying current of magnitude 2 A. A negatively-charged particle having charge three times that of an electron is at point (x,y) = (0cm,2cm) and has velocity (vx , vy ) = (5 × 103 m/s, −5 × 103 m/s). What is the magnitude and direction of the net magnetic force on the negatively-charged particle due to the pair of electron beams?

A wire carries an I₁ = 7.85-A current along the x-axis, and another wire carries an I₂ = 5.85-A current along the y-axis, as shown in the figure below. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m?

#4. A vase was placed on the coffee table. The coefficient of static friction between the vase and the table is 0.3689, whereas the coefficient of kinetic friction is 0.1339. The vase weighs 1.0707kg. A cat decided to redecorate the room by pushing the vase off the table. As the cat pushes the vase with its paw, the vase moves. Then, the cat maintains a constant applied force of 7.37N on the vase in the positive x-direction. What is the acceleration of the vase in the x-direction during the time when the vase is moving?

#6. A student has two springs. Spring 1 is twice the mass of spring 2. The student first puts spring 1 into a massless pouch and suspends it from spring 2. Spring extension was noted to be 12.69cm. Then, they put spring 2 into a massless pouch and suspend it from spring 1. Spring extension was noted to be 16.42cm.
What is the ratio of k1/k2?