A- How much work is required to accelerate a proton from rest up to a speed of 0.995c?

W = ? J

B- What would be the momentum of this proton?

P = ? kg⋅m/s

What is the basic, fundamental meaning of the Continuity equation? What are some examples and the importance of this rule?

GOAL Apply the more general definition of torque. PROBLEM (a) A man applies a force of F = 3.00 102 N at an angle of 60.0° to the door of Figure (a), 2.00 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation. (b) Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door? STRATEGY Part (a) can be solved by substitution into the general torque equation. In part (b) the hinges, the wedge, and the applied force all exert torques on the door. The door doesn't open, so the sum of these torques must be zero, a condition that can be used to find the wedge force. SOLUTION (A) Compute the torque due to the applied force exerted at 60.0°. Substitute into the general torque equation. τF = rFsin θ = (2.00 m)(3.00 ✕ 102 N) sin 60.0° = (2.00 m)(2.60 ✕ 102 N) = 5.20 102 N · m (B) Calculate the force exerted by the wedge on the other side of the door. Set the sum of the torques equal to zero. τhinge + τwedge + τF = 0 The hinge force provides no torque because it acts at the axis (r = 0). The wedge force acts at an angle of −90.0°, opposite the upward 260 N component. 0 + Fwedge(1.50 m) sin (−90.0°) + 5.20 ✕ 102 N · m = 0 Fwedge = 347 N LEARN MORE REMARKS Notice that the angle from the position vector to the wedge force is −90°. This is because, starting at the position vector, it's necessary to go 90° clockwise (the negative angular direction) to get to the force vector. Measuring the angle in this way automatically supplies the correct sign for the torque term and is consistent with the right-hand rule. Alternately, the magnitude of the torque can be found and the correct sign chosen based on physical intuition. Figure (b) illustrates the fact that the component of the force perpendicular to the lever arm causes the torque. QUESTION To make the wedge more effective in keeping the door closed, should it be placed closer to the hinge or to the doorknob? closer to the hinge closer to the doorknob PRACTICE IT Use the worked example above to help you solve this problem. (a) A man applies a force of F = 3.00 102 N at an angle of 60.0° to a door, x = 2.10 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation. N · m (b) Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door? N EXERCISE HINTS: GETTING STARTED | I'M STUCK! A man ties one end of a strong rope 7.74 m long to the bumper of his truck, 0.521 m from the ground, and the other end to a vertical tree trunk at a height of 3.62 m. He uses the truck to create a tension of 7.50 102 N in the rope. Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point. N · m

a) If 8.00 hp are required to drive a 1800-kg automobile at 54.0 km/h on a level road, what is the total retarding force due to friction, air resistance, and so on?

b) What power is necessary to drive the car at 54.0 km/h up a 10.0% grade (a hill rising 10.0 m vertically in 100.0 m horizontally)?

c) What power is necessary to drive the car at 54.0 km/h down a 1.00 % grade?

d) Down what percent grade would the car coast at 54.0 km/h ?

A 0.0038 kg leaf falls 16.8 m to the ground, where it lands with a speed of 12.2 m/s. What was the average force of air resistance on the leaf while it was falling?

Problem 1: In the figure to the right, m1=20.0kg and α=53.1o . The coefficient of kinetic friction between the block and the incline is µk=0.40. a) What must be the mass m2 of the hanging block if it is to descend 12.0 m in the first 2.00 s after the system is released from rest? b) For the µk in the problem, what mass m2 will provide constant velocity of m1 down the incline? c) Suppose µs is 0.7, what is the maximum mass m2 that will still cause no movement?

For physics discussion post. Please TYPE the response as I struggle with reading written information.

• Explain Boyle's law, Charles law, and the Ideal Gas equation.
• Explain Kinetic Molecular Theory of Ideal Gas.
• In your own words, explain the First Law of Thermodynamics and give examples.
• In your own words, explain adiabatic process and isothermal process, and give examples.

Vector A = (-2, 2.4) and vector B = (4, 2.3). Find the magnitude of the component of A perpendicular to the direction of B

A stone is dropped at t = 0. A second stone, with 6 times the mass of the first, is dropped from the same point at t = 130 ms. (a) How far below the release point is the center of mass of the two stones at t = 350 ms? (Neither stone has yet reached the ground.) (b) How fast is the center of mass of the two-stone system moving at that time?

A) At a temperature of 27 ?C, what is the speed of longitudinal waves in hydrogen (molar mass 2.02 g/mol)? The ratio of heat capacities for hydrogen is ?=1.41.

B) At a temperature of 27 ?C, what is the speed of longitudinal waves in helium (molar mass 4.00 g/mol)? The ratio of heat capacities for helium is ?=1.67.

C)

At a temperature of 27 ?C, what is the speed of longitudinal waves in argon (molar mass 39.9 g/mol)? The ratio of heat capacities for argon is ?=1.67.

D,E, F i need help please and show work please

D)Compare your answer for part A with the speed in air at the same temperature. The ratio of heat capacities for air is ?=1.40.

E)Compare your answer for part B with the speed in air at the same temperature. The ratio of heat capacities for air is ?=1.40.

F)Compare your answer for part C with the speed in air at the same temperature. The ratio of heat capacities for air is ?=1.40.

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x(t) = 15.0 cos(20.0t) where xis in centimeters and t is in seconds. At t = 1 s, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion. (f) Sketch a plot of the acceleration as a function oftime. Scale the plot properly.

A woman stands on a scale in a moving elevator. Her mass is 61.0 kg, and the combined mass of the elevator and scale is an additional 725 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9340 N. What does the scale read (in N) during the acceleration?

1- Block 1 (mass 2.0 kg) is moving to right at speed of 5.0 m/s. It collides with block 2 (mass 3.0 kg) that is moving to the right at speed of 3.0 m/s.

a) What is the speed of the blocks if the collision is completely inelastic? How much kinetic energy is lost? (3.8 m/s, 2.4 J)

b) What is the final speed of the blocks if the collision is elastic? (v1 = 2.6 m/s, v2 = 4.6 m/s)

2 - A solid uniform sphere of mass 5.0 kg and diameter 40 cm, rolls down a hill without slipping. If the velocity of the sphere downhill is 2.0 m/s.

a) what is the height of the hill? (29 cm)

b) What is the angular momentum of the sphere downhill? (0.8 kg*m/s)

I know the answers I just need to know how to get to those answers!

A passenger with mass 85 kg rides in a Ferris wheel. The seats travel in a circle of radius 35 m. The Ferris wheel rotates at constant speed and makes one complete revolution every 25 s.

A)

Calculate the magnitude of the net force exerted on the passenger by the seat when she is one-quarter revolution past her highest point.

B)

Calculate the direction of the net force exerted on the passenger by the seat when she is one-quarter revolution past her highest point.

I need exact answers. Thank you

A football receiver running straight downfield at 5.20 m/s is 10.5 m in front of the quarterback when a pass is thrown downfield at 23.0° above the horizon (see the figure below).

If the receiver never changes speed and the ball is caught at the same height from which it was thrown, find the football's initial speed, the amount of time the football spends in the air, and the distance between the quarterback and the receiver when the catch is made.

(a) the football's initial speed (in m/s)

___________ m/s

(b) the amount of time the football spends in the air (in s)

________________ s

(c) the distance between the quarterback and the receiver when the catch is made (in m)

_____________m