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A long jumper leaves the ground at an angle of 20.0° to the horizontal and at a speed of 11.0 m/s.
a. How long does it take for him to reach maximum height? b. What is the maximum height?
c. How far does he jump? (Assume his motion is equivalent to that of a particle, disregarding the motion of his arms and legs.)
A bartender slides a beer mug at 1.50 m/s toward a customer at the end of a frictionless bar that is 1.20 m tall. The customer makes a grab for the mug and misses, and the mug sails off the end of the bar.
a. How far away from the end of the bar does the mug hit the floor?
b. What are the speed and direction of the mug at impact?
A boy on top of a hill thrown a stone with an initial velocity of 100ft/sec at an inclination of 60° with the horizontal. If the stone has travelled a distance on 400ft from the base of the hill, how high is the hill?
Compute algebraically the resultant of the
following coplanar forces: 100 N at 30O
, 141.4
N at 45O
, and 100 N at 240O
. Check your
answer graphically.
the elastic constant of a helical spring is 9 N/m. a 1 kg body is attached from the spring and is made to move with simple harmonic motion. determine the period of vibration of the body and the acceleration when the body is 40 cm from its equilibrium position if the amplitude is 80 cm
The velocity of a particle which moves along
the s-axis is given by
V=2 - 4t + 58312
, Where t is in seconds and v is
in meters per second. Evaluate the position s,
velocity v, and acceleration a when t = 3 s. The
particle is at the position S, = 3 m when t=0.
At the center of a cube of edge 80.0cm, a charge of 170 µC is found. (1 µC = 10-6 Coulombs) (Permittivity
of free space (ϵ0) 8.85x10-12 C2 / N.m2)
The angular acceleration of a wheel is α = 9.0t4 – 5.0t2, with α
in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +7 rad/s and an angular position of +5 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).
The angular position of a point on a rotating wheel is given by θ = 3.04 + 4.83t2 + 2.99t3, where θ is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 7.43 s? (d) Calculate its angular acceleration at t = 1.12 s. (e) Is its angular acceleration constant?
You are to construct a parallel plate capacitor out of two flat plate of area 25 cm^2. You
have three dielectrics to choose from: 1 cm thick paraffin, 2 cm thick Pyrex glass, and 3 cm thick Porcelain which of the dielectric will you used to get the maximum capacitance?
A stone is thrown straight upward with a velocity of 30 m/s. What was its maximum height?, b) What is the time taken to reach the maximum height?, c) What is the velocity of the stone when it is 60 m from the ground? (Assume the ground as the initial frame of reference)
Two conducting plates with a length of 1 m and a width of 0.5 m has polyethylene between them. What is the capacitance if the capacitor is 1 m high?
