In uniform circular motion, the acceleration is perpendicular to the velocity at every instant. Is this true when the motion is not uniform, that is, when the speed is not constant?
Dan and Beatrice cycle side by side. The tires on Dan's bike are large in diameter than those on Beatrice's bike. Which wheels, if either, have the greater rotational speed? Explain.
Problem # 4 - The rocket is traveling in a free-flight elliptical orbit about the earth such that e = 0.76 and Its perigee is 9Mm as shown. Determine its speed when it is at point B. Also determine the sudden decrease in speed the rocket must experience at A in order to travel in a Circular orbit about the earth.
The question starts, Consider an isolated system comprising two particles of masses m1 and m2. Whose position vectors, in an inertial frame, are x1 and x2 and whose velocity vectors are v1 and v2. The interaction of the particles may be described by an energy function. E=1/2m1v1^2+1/2m2v2^2+U(x1,x2) i) Which aspect of
A one-meter ruler moves at a speed c/2. In its own reference frame, it forms an angle of 45 degrees with its velocity. What is its length as measured by a fixed observer?
1. Discuss the validity of each of the following statements. Provide examples to support the answers. a) If the acceleration of an object is positive, it is speeding up. If the acceleration of an object is negative, it is slowing down. b) If the velocity of an object is positive, it is moving away from the origin. If the vel
In a certain electron beam, there are 5.0 x 10^6 electrons per cubic centimeter. Suppose the kinetic energy of each electron is 10 keV and the beam is cylindrical with a diameter of 1 mm. (a) what is the velocity of an electron in the beam? (b) find the beam current.
See attached file for full problem description.
What is the minimum speed needed to fire a champagne cork a distance of 11m?
The position of a particle as a function of time is given by x(t) = (3.1 m/s)t - (4.2 m/s^2)t^2. What is the average velocity of the particle between t = 1.0 s and t = 2.0 s?
A baseball player is running to second base at 5.63 m/s. When he is 5.20 m from the plate he goes into a slide. The coefficient of kinetic friction between the player and the ground is 0.220. What is his speed when he reaches the plate? 4.47 m/s 3.04 m/s 1.96 m/s He stops before reaching the plate.
A ball is thrown with a velocity of 40 m/s at an angle x above the horizontal. If the ball attains its maximum range, what was the value of the angle x?
A boy kicks a football with an initial velocity of 20 m/s at an angle of 30 degrees above the horizontal. What is the vertical component of its velocity at the highest point of its trajectory?
A girl kicks a soccer ball with an initial velocity of 25 m/s at angle of 30 degrees above the horizontal. The horizontal component of the velocity of the ball is described by which of the following statements: It changes uniformly. It is zero. It is 25 m/s. It remains constant during the ball's flight.
A car travels along east and its velocity decreases. The acceleration of the car is in which direction (northward, eastward, southward, or westward)? Explain.
A baseball thrown at an angle of 60 degrees above the horizontal strikes a building 20m away at a point 8m above the point from which it is thrown. Ignoring air resistance. Find A) the magnitude of the initial velocity of the baseball and B) the time it takes to reach the point.
In problem 14.3(a), if the velocity of the 30 lb and 40 lb suit cases are 12 ft/s and 5 ft/s, respectively, when the first suit case of 30 lb was tossed into the carrier, the final velocity of the baggage carrier after the second baggage tossed into the carrier is: a. 4.25 ft/s b. 4.67 ft/s c. 3.87 ft/s d. 5.67 ft/s
A diver running 2.1 m/s dives out horizontally from the edge of a vertical cliff and reaches the water below 3.0s later. How high was the cliff and how far from its base did the diver hit the water?
A gun fires a bullet at 250 m/s at a 45 degree angle with the horizontal. How far away from the point of launch will the bullet fall? And how much time will the bullet stay up in the air?
See attached file for full problem description. 1. Gina's favorite exercise equipment at the gym consists of various springs. In one exercise, she pulls a handle grip attached to the free end of a spring to 0.80 m from its unstrained position. The other end of the spring is held in place by the equipment frame. What is the magn
Dynamics 12.8 A car has been traveling up along a 2 percent grade at a constant speed of 55 miles/hr. If the driver does not change the setting of the throttle or shift gears as the car reaches the top of the hill, what will be the acceleration of the car as it starts moving down the 3 percent grade? Dynamics 13.7 A 24-
A lunar landing craft needs to hover just above the surface of the moon, which has a gravitational acceleration of (1/6) g. The exhaust velocity is 2000m/s but fuel amounting to only 20% of the total mass can be used. How long can the landing craft hover?
1) Find the curl, delta x F, for the following forces: (a) F = kr; (b) F = (Ax, By2, Cz3); (c) F = (Ay2, Bx, Cz), where A, B, C and k are constants. 2) Verify that the gravitational force - GMmr/r2 on a point mass m at r, due to a fixed point mass M at the origin, is conservative and calculate the corresponding potent
A basketball player is balancing a spinning basketball on the tip of his finger. The angular velocity of the ball slows down from 18.5 to 14.1 rad/s. During the slow-down, the angular displacement is 85.1 rad. What is the time it takes for the ball to slow down?
A floor polisher has a rotating disk with a radius of 15 cm. The disk rotates at a constant angular velocity of 1.4 rev/s and is covered with a soft material that does the polishing. An operator holds the polisher in one place for 45s in order to buff an especially scuffed area of the floor. How far (in meters) does a spot on th
1. Dennis Chapman did not eat for a few days and went to a restaurant which says buffet all you can eat just $4.95. Dennis was so happy that he started eating and eating till the owner of the restaurant asked Dennis "May I help you sir?". Dennis said yes, just go away and let me eat. After eating Dennis weight from 185 lb becam
Question: Show that the areal velocity is constant for a particle moving under the influence of an attractive force given by F(r) = -kr. Calculate the time averages of the kinetic and potential energies and compare the results of the viral theorem.
Imagine that you are sitting on top of a 10-meter tower and drop two objects: a $20 gold piece (weight = 33g, diameter = 34mm) and a silver dollar (weight =26.7 g, diameter = 38mm). 1. Which, if either, falls faster? How do you support your answer? 2. If you repeated the same experiment on the Moon, what would you notice?
According to Newton's Third Law, a force in one direction produces an equal force in the opposite direction.
According to Newton's Third Law, a force in one direction produces an equal force in the opposite direction. If the force that acts on a cannonball and the recoiling cannon are equal in magnitude, why does the cannon not recoil with the same velocity at the cannonball?
The lead female character in a movie is standing at the edge of an offshore oil rig. As she fires a gun, she is driven back over the edge and into the sea. Suppose the mass of a bullet is 0.010 kg and its velocity is 720 m/s. Her mass (including the gun) is 51 kg. (a) what recoil velocity does she acquire in response to a si