Q1: Consider a conical pendulum shown in figure, with a bob of mass m = 80.0 kg
ID: 2037967 • Letter: Q
Question
Q1: Consider a conical pendulum shown in figure, with a bob of mass m = 80.0 kg on a string of length L = 10.0 m that makes and angle of ? = 5.00o with the vertical. Determine (a) the horizontal and vertical components of the force exerted by the string on the pendulum and (b) the radial acceleration of the bob.
Q2: (a) Estimate the terminal speed of a wooden sphere (density 0.830 g/cm3 ) falling through air, taking its radius as 8.00 cm and its drag coefficient as 0.500. (b) From what height would a freely falling object reach this speed in the absence of air resistance?
Q3: A person stands on a scale in an elevator. As the elevator starts, the scale has a constant reading of 591 N. As the elevator later stops, the scale reading is 391 N. Assume the magnitude of the acceleration is same during starting and stopping, determine (a) the weight of the person (b) the person’s mass, and (c) the acceleration of the elevator.
Q4: For ??? = 3???+ ???? ???, ???? = ????+ 2???+ 5???, and ??? = 2???? 3???, find ??? . (??? ? ????).
Q5: When a 4.00 kg object is hung vertically on a certain light spring that obeys Hook’s law, the spring stretches 2.50 cm. If the 4.00 kg object is removed, (a) how far will the spring stretch if a 1.5 kg block is hung on it? (b) How much work must an external agent do to stetch the same spring 4.00 cm from its unstretch position?
Q6. A 0.900 kg particle has a speed of 2.00 m/s at point A and kinetic energy of 7.5 J at point B. What is (a) its kinetic energy at A, (b) its speed at B, and (c) the net work done on the particle by external forces as it moves from A to B.
Q7: A block of mass m = 6.00 kg is released from point A and slides on the frictionless track shown in Figure. Determine (a) The block’s speed at point B and C, and (b) the net work done by gravitational force on the block as it moves from point A to point C.
Q8. An electric scooter has a battery capable of supplying 150 Wh of energy. If friction force and other losses account for 70.0 % of the energy usage, what altitude change can a rider achieve when driving in hilly terrain if the rider and scooter have a combined weight of 890 N?
Q9. A boy starts at rest and slides down a frictionless slide as in figure. The bottom of the track is a height h above the ground. The boy then leave the track horizontally, striking the ground at a distance d. Using energy models, determine the initial height H of the boy above the ground in term of h and d.
Q10: A 4.00-kg particle has a velocity of (3.00??? ? 4.00??) m/s. (a) find its x and y componets of ? mementum. (b) Find the magnitude and direction of the momentum
Q11: A 15.0-g wad of sticky clay is hurled horizontally at a 100-g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides 7.50 m before coming to rest. If the coefficient of friction between the block and the surface is 0.650, what was the speed of the clay immediately before the impact.?
Q12: During the certain time interval the angular position of a swinging door is described by ? = 5.00 + 10.0t + 2.00t2 , where ? is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door at (a) t = 0 and (b) t = 3.00s.
Q13: A rotating wheel requires 3.00 s to rotate through 37.0 revolutions. Its angular speed at the end of the 3.00 s interval is 98.0 rad/s. What is the constant angular acceleration of the wheel.?
Q14: A potter’s wheel – a thick stone disk of radius 0.500 m and mass 100 kg – is freely rotating at 60.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 70.0 N Find the effective coefficient of kinetic friction between wheel and rag.
Explanation / Answer
Only one question can be posted as per chegg guidelines
1.
a)
the horizontal component of the force exerted by the string on the pendulum
Fx = mgtan(o)=80*9.81*tan5
Fx=68.66 N
the Vertical component of the force exerted by the string on the pendulum
Fy=mg =80*9.81=784.8 N
b)
the radial acceleration of the bob.
a=gtan(o) =9.81tan5
a=0.858 m/s2
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