To be rescued from the roof of a burning building, a62-kg man must be able to jump straight up and catch hold of a rope ladder hanging from a helicopter. He has to raise his center of mass2.00 m above the roof to do so.

If he crouches down such that his center of mass is 0.50 m above the roof and his feet leave the roof when his center of mass is 1.05 m above the roof, what minimum force must he exert on the roof to reach the ladder?

A typical candy bar contains about Ecandy = 900 kJ of food energy. How many candy bars does this jump require?

Neglecting any drag, describe the energy transfers and transformations involved when a yo-yo is thrown downward, reaches the end of the string, and then climbs back up the string to be caught. If you add back in drag, what, if anything, changes?

A mass of 6 kg is placed on an incline with a coefficient of static friction of 1.80 and coefficient of kinetic friction of 1.28. No additional forces are acting on it and it is raised slowly from a small angle and it begins to slide at some angle. If 10 degrees is added to this angle, and the mass started from rest from a vertical height of 28 meters, how much longer would it take to travel down the incline to the bottom compared to if there was no friction on the incline? Answer in seconds.

Two solenoids are nested coaxially such that their magnetic fields point in opposite directions. Treat the solenoids as ideal. The outer one has a radius of 20 mm, and the radius of the inner solenoid is 10 mm. The length, number of turns, and current of the outer solenoid are, respectively, 20.3 cm, 553 turns, and 4.17 A. For the inner solenoid the corresponding quantities are 19.3 cm, 383 turns, and 1.35 A.

At what speed, v1, should a proton be traveling, inside the apparatus and perpendicular to the magnetic field, if it is to orbit the axis of the solenoids at a radius of 6.83 mm?

And at what speed, v2, for an orbital radius of 14.9 mm?

An insect 3.85 mm tall is placed 22.6 cm to the left of a thin planoconvex lens. The left surface of this lens is flat, the right surface has a radius of curvature of magnitude 13.4 cm, and the index of refraction of the lens material is 1.60.

(a) Calculate the location of the image this lens forms of the insect.

Calculate the size of the image.

(b) Repeat part (a) if the lens is reversed.

Calculate the location of the image this lens forms of the insect.

Calculate the size of the image.

A skater glides along a circular path of radius 7.40 m.

1-If he coasts around one half of the circle, find the magnitude of the displacement vector.

2-What distance has the person skated?

3-If the skater coasts only around 73 degrees of the circle, find the magnitude of his displacement vector.

4-What distance has he skated in this case? 5-What is the magnitude of the displacement if he skates all the way around the circle?

PLEASE WRITE THIS IN THE COMPUTER:

Include the solution of the problems with the whole procedure clear, complete and organized.

Solve:

3. What is the intensity level in decibels for an intensity sound wave of (a) 10-10 W / m2 and (b) 10-2 W / m2?

4. While an ambulance is traveling east on a highway at a speed of 33.5m / s (75mph), its siren emits sound at a frequency of 400Hz. How often will a person traveling in the car ride west at 24.6m / s (55mph) (a) while the car approaches the ambulance and (b) while the car moves away from the ambulance?

A sound wave has a propagation speed of 349 m/s, a frequency 1026 Hz, and has a maximum displacement of y_m= 3.02x10^-7 m. At time t= 0, and x= 0, the displacement is y_m = 1.00x10^-7 m.

(a) Using these values, find an equation of form:

           y(x,t) = y_m sin(kx - ωt + ϕ)

(b) Differentiate the expression and find the maximum speed of the oscillating air molecules.

(c) Find the maximum magnitude of acceleration of the oscillating air molecules.

If you pour 0.0350 kg of 25.0°C water onto a 1.18 kg block of ice (which is initially at −15.0°C), what is the final temperature (in °C)? You may assume that the water cools so rapidly that effects of the surroundings are negligible.

A firefighter directs a stream of water toward a burning building from the ground level. The stream of water leaves the ground with Velocity Vi, given that Vi=21.0 m/s and theta initial= 37.5 degrees and the building is 22.5 m away from the release point: How far above the ground is the stream of water hits the building?

What are the advantages and disadvantages of connecting batteries in series, and what are the advantages and disadvantages of connecting batteries in parallel?

You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between your feet and the ice. A friend throws you a 0.370kg ball that is traveling horizontally at 9.00m/s . Your mass is 67.5kg .

Part A:If you catch the ball, with what speed do you and the ball move afterwards?

Part B:If the ball hits you and bounces off your chest, so that afterwards it is moving horizontally at 8.25

A metal sphere carrying an evenly distributed charge will have spherical equipotential surfaces surrounding it. Suppose the sphere❝s radius is 52.5cm and it carries a total charge of +1.45μC .

A) Calculate the potential of the sphere❝s surface.(with the appropriate)

B) You want to draw equipotential surfaces at intervals of 500 V

outside the sphere❝s surface. Calculate the distance between the first and the second equipotential surfaces, and between the 20th and 21st equipotential surfaces.

3. Does the magnetic field due to the Earth affect your result of the e/m ratio? Explain�

4. Compare trajectories of electrons and protons moving with the same speed in the magnetic field produced by the Helmholtz coils?

1.What does the "Total Energy - Time" graph tell you about the toal energy of the ball as it falls?

2.What is one reason that some of the energy is lost as the ball falls?