A 1196-kg car and a 2010-kg pickup truck approach a curve on the expressway that has a radius of 253 m .

At what angle should the highway engineer bank this curve so that vehicles traveling at 60.0 mi/h can safely round it regardless of the condition of their tires?

Should the heavy truck go slower than the lighter car?

As the car and truck round the curve at 60.0 mi/h , find the normal force on the car to the highway surface

As the car and truck round the curve at 60.0 mi/h , find the normal force on the truck to the highway surface

A star, which is 2.0 x 10²⁰ m from the center of a galaxy, revolves around that center once every 2.4 x 10⁸ years. Assuming each star in the galaxy has a mass equal to the Sun's mass of 2.0 x 10³⁰ kg, the stars are distributed uniformly in a sphere about the galactic center, and the star of interest is at the edge of that sphere, estimate the number of stars in the galaxy.

What would you have to do to the circuit to mimic the effect of a clogged artery in human body?

A block of mass m1 = 3.27 kg on a frictionless plane inclined at angle ? = 31.2

1a. The horizontal magnetic component in Minnesota is 17.5?T and in Equator it is 27.1?T. Describe why it is larger in Equator.

1b. The total magnetic field strength in Minnesota is 55.1?T and in Equator it is 29.1?T. Describe why it is smaller in Equator.

Photon Momentum and Radiation Pressure.

We have seen that photons carry not only energy but also momentum, with each photon of wavelength λ carrying momentum pγ = Eγ/c = h/λ. This means that photon interactions can transfer momentum, and thus radiation exerts forces.

(a) Consider a flux F of photons all moving in the same direction. If the light lands perpendicular (i.e., directly) on a surface of area A, find an expression for the rate of energy flow onto the surface. From this find an expression for the rate of momentum deposit onto the surface.

(b) Use Newton’s laws to trivially explain why the momentum flow rate you found represents the radiation force on the surface. Then go on to show that the radiation pressure on the surface – the force per unit area – is Pr = F/c.

(c) Consider a 100 Watt lightbulb, illuminating your hand which is held at a distance of 10 cm. Estimate the size of your hand and find the radiation force on your hand. What mass object would have a weight equal to this force? Comment on the strength the radiation force in everyday circumstances.

(d) Now consider hydrogen at the surface of the Sun which has radius R. Imagine each proton, of mass mp, acted as if it cast a shadow of area σ. Without yet evaluating numbers, find an expression for the gravitational force on the proton due to the Sun. Also find an expression for the radiation force on the proton due to the Sun. Show that the ratio of these two forces is independent of distance from the Sun. Briefly explain why

There is no flux intensity given in the question

1.Suppose the combined weight of Santa and your large gift so big and heavy that it increased the earth’s wobble and tilted the planet on its axis to 24 degrees. Would the winter be longer or shorter? your location: North America ( Detroit)

2. Suppose a golden plover, who are renowned for their migrations, left the North Pole for the South Pole. What longitudinal line should the bird follow for the shortest distance to travel? Why is it shortest? Hint: This would also be the shortest route for a whale.

A beam of electrons with energy 250 MeV is elastically scattered through an angle of 10° by a heavy nucleus that is at rest. It is found that the differential cross-section is 65% of that expected for scattering from a point-nucleus. Estimate the root mean square radius of the nucleus. Neglect the recoil of the nucleus and use the rest mass of the electron as 0.511 MeV/c2.

A sphere of radius R1 has a volume charge density given by row = Mr where r is the radial distance from the center of the sphere. The sphere is surrounded by an uncharged metal shell out to radius R2.

1) Determine an expression in terms of the constants given for the total charge Q in the sphere of charge density

2) Determine an expression for the electric field in the three regions r < R1, R1 < r < R2, r > R2.

3) What is the surface charge density on the inner surface of the metal?

Consider a RC circuit. At time t=0, the circuit is closed. ( a) Draw how the current behaves with time. (b) What about the power dissipated by the resistor ? (also draw it as a function of t)

A merry-go-round with a a radius of R = 1.98 m and moment of inertia I = 193 kg-m² is spinning with an initial angular speed of ω = 1.45 rad/s in the counter clockwise direection when viewed from above. A person with mass m = 67 kg and velocity v = 4.9 m/s runs on a path tangent to the merry-go-round. Once at the merry-go-round the person jumps on and holds on to the rim of the merry-go-round.

1) What is the magnitude of the initial angular momentum of the merry-go-round?

2) What is the magnitude of the angular momentum of the person 2 meters before she jumps on the merry-go-round?

3) What is the magnitude of the angular momentum of the person just before she jumps on to the merry-go-round?

4) What is the angular speed of the merry-go-round after the person jumps on?

5) Once the merry-go-round travels at this new angular speed, with what force does the person need to hold on?

6) Once the person gets half way around, they decide to simply let go of the merry-go-round to exit the ride.

What is the magnitude of the linear velocity of the person right as they leave the merry-go-round?

7) What is the angular speed of the merry-go-round after the person lets go?

PLEASE ANSWER CORRECTLY WILL GIVE A THUMBS UP

A block with a mass of 3.2 kg is pulled by a force of 60 N up a ramp with a coefficient of kinetic friction of .05 on a 12° incline.

a. What is the magnitude of the block’s acceleration?

b. Draw a free body diagram of this block.

A linebacker with mass m1 = 90.0 kg running east at a speed v1 = 3.00 m/s tackles a fullback with mass m2 = 100. kg running north at a speed v2 = 5.00 m/s. The linebacker holds on to the fullback after the tackle, so that the collision is perfectly inelastic. The common speed of the players immediately after the tackle is closest to:

1. You attach a 1 kg block to a horizontal spring with a constant of k = 25 N/m and set it oscillating on a frictionless surface. You’ve set up a gate that can read the velocity at the equilibrium point of the simple harmonic motion and find it is 50 cm/s, moving to the right. Assume the positive direction is to the right.

   1. What is the angular frequency, ω?

   2. What is the phase angle, φ0, assuming that t = 0 is the moment when you read the velocity at the

      equilibrium point?

   3. What is the amplitude, A?

   4. Write down the equations describing x(t) and a(t), filling in the values for A,ω, and φ0.

   5. What is the magnitude of the acceleration when x(t) = A/2? Since I am asking about magnitude you don’t need to worry about which of the two possible positions that are A/2 or the direction of travel - in other words you don’t need the phase. Any of the four possible phases for the position A/2 will do.

the pitcher in a football game releases the ball at 0.9m above the ground level. the ball take 1.51 s to reach another player, which is 18.0m away, also at a height of 0.9m above the ground. a) what is the horizontal component of the initial velocity of the ball? b) what is the vertical component of the initial velocity of the ball? c) at what time during the flight will the ball reach the maximum height? what is its velocity at the maximum height? d) what us the maximum height above the ground that the ball will reach? e) what is the balls speed 0.5s before it reaches its maximum height? find the angle (relative to the horizontal) of the balls initial velocity and its initial speed.