2. If a linear spring in a pinball machine was displaced 7.20 cm from rest by a 15.3 N force, what is the potential energy stored in the spring caused by the displacement? Assume force is zero at rest. = kx² OF Spring 720cm= 0,0720 PE= mg2 a. 55.1 J b. 0.551J 115.3/10,072)(1.81) C. 397 J d. 0.397 J
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- A 20 kg box is released from rest and let slide down a 25˚ ramp. If the box/ramp kinetic friction coefficient is uk=0.20m what should be the minimum spring constant of the spring attached to the box so that the box stop before reaching the bottom of the ramp 0.5 meters below the starting point? (Assume the spring is neither stretched nor compressed) a. 110 N/m b. 190 N/m c. 280 N/m d. 410 N/mA 227 kg bear* is 15 ft up a tree when it falls onto a trampoline deforming it 3 ft (where it touches the ground). Neglecting friction and mass of the trampoline (and assuming the trampoline is a simple spring), what is the spring constant of the trampoline? 1 m = 3.3 ft * the bear was OK a. 24,470.60 N/m b. 2,441.93 N/m c. 741.53 N/m d. 7,415.33 N/mA simple pendulum is made of a 50 cm string and a bob of mass m. at t=0, the pendulum is at its equilibrium position and is given an initial velocity v=0.2 m/s. the maximum angular speed, theta max, is?
- Two very small metal point-like spheres with masses 5 g and 9 g are tied together by a 8 cm long massless string and are at rest on a frictionless surface. Each is charged to 11 uC. i.What is the energy (in J)of this system? a)13.6 b)20.4 c)44.4 d)11.8 e)5.31 f)28.7 ii.What is the tension (in N) in the string? a)555 b)359 c)170. d)66.4 e)148 f)255 iii.The string is cut. What is the speed (in m/s) of each sphere when they are far apart? (HINT: You will need to use TWO conservation laws here. One of them is Energy Conservation). Speed of m1a)23.1 b)125 c)59.2 d)88.7 e)193 f)51.5 Speed of m2a)69.4 b)107 c)32.9 d)12.8 e)28.6 f)49.3 Please answer all the parts neatly,correctly and completely and please show all the steps. Thankyou!40. Water flows through a pipe of varying cross-section and varying elevation at the rate of 22.2m3/min. At one section of the pipe 3 m from the ground, the radius of the pipe is 36 cm and the pressure is 12 N/cm^2.What is the pressure at a section where the radius of the pipe is 18cm and is 0.7 m from the ground level?A. 136 123 N/m2 B. 50 N/cm2 C. 750 000 N/m2 D. 12 N/cm2(The complete question is in the picture) Initially, a warehouse worker pushes a 55 [N] box on a flat, rough, horizontal surface just enough so that the box moves with a constant velocity of 4.2 [m/s].However, he gets tired and suddenly stops pushing the box. With the coefficient of kineticfriction between the box and the surface equal to 0.45, how long does it take for the box tostop? A. 0.95 [s]B. 2.1 [s]C. 4.4 [s]D. 9.3 [s
- One end of a horizontal spring with force constant 130.0 N/m is attached to a vertical wall. A 4.00 kg block sitting on the floor is placed against the spring. The coefficient of kinetic friction between the block and the floor is mk = 0.400. You apply a constant force F to the block. F has magnitude F = 82.0 N and is directed toward the wall. At the instant that the spring is compressed 80.0 cm, what are (a) the speed of the block, and (b) the magnitude and direction of the block’s acceleration?You pull on a string with a horizontal force of magnitude Fyb = 51 N that is attached to a block of mass mb = 6.3 kg, then to the axle of a solid cylinder of mass mc = 4.3 kg and radius r = 0.5 m, then to a spring of spring constant k = 190 N/m. This is all done on an inclined plane where there is friction ( μs = 0.6 and μk = 0.33 ), and the incline angle is θ = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. What is the speed of the block and cylinder after you pulled the block 66 cm down the plane.Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The mass density in the sphere is ρ = k / r, Kg / m³, where k is a constant, and r is the distance from the center of the sphere to an arbitrary point within it. If k = 3 m, find the gravitational field of the distribution at a point (P), on the x-axis, located at a distance of 4h, measured with respect to the center of the sphere. Ans: 5.655e-10
- an automobile uses 80.5 kw to maintain a uniform speed of 90 kph. what is the trust force provided by the engine?27-(a) A body of weight 440 N body moving to the left with a velocity of 10 m/s collides with another body of weight 760 N body which is at rest. After impact the body which is moving before impact comes to rest. Find the final velocity of body after impact and the coefficient of restitution . (b)A vehicle of mass 21 tonnes runs into a buffer stop having two buffer springs connected in series each of 1750 kN/cm and 2200 kN/cm stiffness respectively. Find the maximum compression of the springs, if the vehicle is travelling at 90 km/hr. Also calculate the load acting on the spring. a,Solution The final velocity of body after impact in m/s is The coefficient of restitution is b,Solution The maximum compression of the spring in mm is The load acting on the spring in kN isENGINEERING MECHANICS What action does an impulsecause? What path does a projectiletake? Whathappens to the acceleration if the mass is tripled and the force remains the same?