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A metal cylinder of mass 4kg vibrates harmonically with an amplitude of 0.25m and period of 2second. Calculate 1)Frequency 2)its maximum speed and speed when y=0.15m
A charged particle in moving under the influence of a point nucleus. Find the orbit of the particle and periodic time in the case of an elliptical orbit.
What is buoyancy force.
Explain degree of freedom of monoatomic gas.
A boy ties a rope to a 30 kg object, as shown below. He pulls on the rope with a force of 150 N. The rope makes an angle of 20 degrees with the horizontal. The coefficient of friction between the object and surface is .12. Assume that the surface is horizontal and flat.
a. Draw a free body diagram for the object.
b. Calculate the weight of the object.
c. Calculate the x and y components of the tension in the rope.
d. Calculate the normal force acting on the object.
e. Calculate the acceleration of the object.
An object has a net 10 newton sideways force on it. If the force acts over a sideways distance of 1.5 meters find the work done on the object.
. A 3 kg object travels in a uniform circle at a constant speed of 10 m/s. The centripetal force acting on the object is 150 Newtons.
a. Calculate the weight of the object.
b. Calculate the centripetal acceleration of the object.
c. Calculate the radius of the circle.
d. Calculate the circumference of the circle.
e. Calculate the time required for the object to complete one full circle.
A soccer player kicks a ball at an angle of 37 degree from the horizontal with an initial speed
of 50 ft/sec. Assume that the ball moves in a vertical plane. a) Find the time t1 at which the
ball reaches the highest point of its trajectory. b) How high does the ball go? c) What is the
horizontal range of the ball and how long is it in the air? d) What is the velocity of the ball as
it strikes the ground?
A particle of mass m is attached to the end of a string and moves in a circle of radius of
radius r on a frictionless horizontal table. The string passes through a frictionless hole in the
table and, initially, the other end id fixed. a) if the string is pulled so that the radius of the
circular orbit decreases, how does the angular velocity change if it is ω0 when r = r0? b) what
work is done when the particle is pulled slowly in from a radius r0 to a radius r0/2?
A spaceship of mass m has velocity v in the positive x direction of an inertial reference
frame. A mass dm is fired out the rear of the ship with constant exhaust velocity (-v0) with
respect to the spaceship. a) using conservation of momentum, show that dv/v0 = dm/m, b)
By integration, find the dependence of v on m if v1 and m1 are the initial values. c) Can the
acceleration be constant if dm/dt, the burning rate is constant.
