A projectile is fired from the surface of the Earth with a speed of 200 meters per second at an angle of 30° above the horizontal. If the ground is level, the maximum height reached by the projectile...
What is 500 m?
100
A rock is lifted for a certain time by a force F that is greater in magnitude than the rock's weight W. The change in kinetic energy of the rock during this time is equal to the
What is delta K
100
A 4 kilogram mass has a speed of 6 meters per second on a horizontal frictionless surface. The mass collides head on and elastically with an identical 4 kilogram mass initially at rest.
The final speed of the first 4 kilogram mass is
What is 0 m/s?
100
A satellite travels around the Sun in an elliptical orbit as shown above. As the satellite travels from aphelion to perihelion. which of the following is true about its speed and angular momentum?
What is speeds up and conserved?
200
A particle of mass m moves along a straight path with a speed v defined by the function v = bt^2 + c, where b and c are constants and t is time. The magnitude F of the net force on the particle at time t = t1 ?
What is 2mbt1?
200
A newly discovered planet, "Cosmo," has a mass that is 4 times the mass of the Earth. The radius of the Earth is Re. The gravitational field strength at the surface of Cosmo is equal to that at the surface of the Earth if the radius of Cosmo is equal to
What is 2Re?
300
A particle moves along the x axis with a non¬constant acceleration described by a = 12t, where a is in meters per second squared and t is in seconds. If the particle starts from rest so that its speed v and position x are zero when t = 0, where is it located when t = 2 seconds?
What is 16 m?
300
A projectile of mass M1 is fired horizontally from a spring gun that is initially at rest on a frictionless surface. The combined mass of the gun and projectile is M2. If the kinetic energy of the projectile after firing is K, the gun will recoil with a kinetic energy equal to
What is M1*K/(M2-M1)?
300
A figure skater is spinning on frictionless ice with her arms fully extended horizontally. She then drops her arms to her sides. Which of the following correctly describes her rotational kinetic energy and angular momentum as her arms fall?
What are increased and constant?
300
Two artificial satellites, 1 and 2, orbit the Earth in circular orbits having radii R1 and R2, respec¬tively, as shown above. If R2 = 2R1, the accelerations a2 and a1 of the two satellites are related by which of the following?
What is a2=1/4a1
400
A ball of mass m is attached to the end of a string of length Q as shown above. The ball is released from rest from position P. where the string is hori¬zontal. It swings through position Q. where the string is vertical, and then to position R. where the string is again horizontal. What are the directions of the acceleration vectors of the ball at positions Q and R?
What is upward and downward?
400
A satellite moves in a stable circular orbit with speed vo at a distance R from the center of a planet. For this satellite to move in a stable circular orbit a distance 2R from the center of the planet, the speed of the satellite must be
What is Vo/(2)^0.5
400
A pendulum consists of a ball of mass m suspended at the end of a massless cord of length L as shown above. The pendulum is drawn aside through an angle of 60. with the vertical and released. At the low point of its swing, the speed of the pendulum ball is
What is (gL)^0.5?
400
A piece of wire of uniform cross section is bent in the shape shown above. What quadrant are the coordinates of the center of mass?
What is Quadrant 2?
400
A particle moves in a circle in such a way that the x ¬and y coordinates of its motion are given in meters as functions of time t in seconds by:
x = 5cos(3t) y = 5 sin (3t)
What is the period of revolution of the particle?
What is 2pi/3?
500
A bowling ball of mass M and radius R. whose moment of inertia about its center is (2/5)MR2, rolls without slipping along a level surface at speed v. The maximum vertical height to which it can roll if it ascends an incline is
What is 7v^2/10g
500
A 10 kilogram body is constrained to move along the x axis. The potential energy U of the body in joules is given as a function of its position x in meters by
U(x) = 6x2 + 4x + 3
The force on the particle at x = 3 meters is
What is -40 N?
500
When a mass m is hung on a certain ideal spring, the spring stretches a distance d. If the mass is then set oscillating on the spring, the period of oscillation is proportional to