初速度(initial velocity)
As shown, a cannonball with mass m is fired with initial velocityand emission angle. The air resistance is proportional to the cannonball velocity, i.e.,, whereis a constant. The differential equation of motion of the cannonball can be
A、
B、
C、
D、
An object is thrown up with an initial speed, the air resistance is, where m is the mass of the object and k is a constant, what are (1) the maximum height the object can reach, and (2)the magnitude of the velocity when the object returns the Earth? (Assume the gravitational acceleration is a constant)
A、初始条件用于确定积分常量,使不定积分变成定积分; The initial conditions are used to determine the integral constant so that the antiderivative becomes a definite integral;
B、初始条件用于确定积分常量,使定积分变成不定积分; The initial condition is used to determine the integral constant so that the definite integral becomes the antiderivative;
C、初始条件用于确定初始速度; The initial conditions are used to determine the initial velocity;
D、初始条件用于确定初始位置; Initial conditions are used to determine the initial position;
A.1.53 m
B.22.9 m
C.6.50 m
D.11.5 m
A.0.3
B.0.4
C.1.0
D.2.0
E.3.0
F.4.0G、0.1H、5.0
A small spherewith mass m moves from the same height to the ground along three different paths. It is assumed that the initial velocity is zero and all frictions can be neglected. If the velocities of the sphere when it reaches the ground are,and,respectively, then
A、
B、
C、
D、
A small sphere with mass m moves along a smooth semi-circular path. The initial velocitypoints downward. Which of the following statements are correct?
A、The momentum is not conserved during the motion.
B、The angular momentum about pointis conserved during the motion.
C、The angular momentum about pointis not conserved during the motion.
D、The momentum is conserved during the motion.
A small sphere with mass m moves along a smooth semi-circular path. The initial velocitypoints downward. Which of the following statements are correct?
A、The momenta of the sphere are the same at pointand point.
B、The momenta of the sphere are different at pointand point.
C、The kinetic energy of the sphere is the same at pointand point.
D、The kinetic energy of the sphere is different at pointand point.
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