It is determined that for this surface, the force of friction is proportional to the speed of the block according to the equation f = -kv, where k is a positive constant. (e) On the axes below, sketch the speed v and the acceleration a as functions of time as the block slides down the incline.
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- >V=0 d (m A block of mass m is on an inclined ramp. The ramp makes an angle with respect to the horizontal, as shown. The ramp has friction, with coefficient of kinetic friction and static friction μs. This experiment takes place on earth. The block has an initial speed of v up the ramp. It travels a distance d along the ramp before it stops. There are no numbers in this problem! Answer all questions in terms of the given variables (g, m, µk, µs, 8, v, d) only. Do not use any other variables. a) Draw a free body diagram clearly showing all the forces acting on the block while it is moving up the ramp. b) Calculate the work done by the Normal force as the block travels the distance d. Is it positive, negative, or zero? c) Calculate the work done by the Weight force as the block travels the distance d. Is it positive, negative, or zero? d) Calculate the work done by the Friction force as the block travels the distance d. Is it positive, negative, or zero? e) If the block comes to rest,…A force F applied to an object of mass m, produces an acceleration of 3.60 m/s?. The same force applied to a second object of mass m, produces an acceleration of 2.00 m/s?. (a) What is the value of the ratio m,/m,? Be very careful in setting up ratios. Write down the relationships explicitly and do the algebra to obtain the proportionality. (b) If m, and m, are combined into one object, find its acceleration under the action of the force F. 1.29 m/s2Find the time Tc it takes for a frictionless bead to slide along the cycloid x = a(t - sin t), y = a(1 - cos t) from t = 0 to t = π
- Q 5)A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface. The velocity function of body is v = t + 2 . find the following : 1) frictional force (fs ) 2) the coefficient of friction of surface (μ) . (answer fs =1.7 N , u =0.34)You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0In the friction experiment, if the friction block has a mass of 599 g, and it started to move at a constant speed after giving it a slight push when the mass in the hanger is 284 g (including the hanger), what is the coefficient of kinetic friction?
- Under the action of force P, the constant acceleration of block B is 6.4 ft/sec² up the incline. For the instant when the velocity of B is 2.6 ft/sec up the incline, determine the velocity of B relative to A (positive if up the slope, negative if down), the acceleration of B relative to A (positive if up the slope, negative if down), and the absolute velocity of point C (positive if up the slope, negative if down) of the cable. Answers: VB/A = AB/A Vc = = 15° i i B ft/sec ft/sec² ft/secDetermine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If VA = 1.21 m/s and vc = 2.30 m/s, what is the velocity of B? Answers: B Number of degrees of freedom: n = VB = i i m/sPROBLEM: A ball with mass 0.15 kg is thrown upward with initial velocity velocity 20 m/s from the roof of a building 30 m high. Neglect air resistance. Assume that the conditions are the same as the above except that there is a force due to air resistance of magnitude |v| / 30 directed opposite to the velocity, where the velocity v is measured in m/s. a. Find the maximum height above the ground that the ball reaches. b. Find the time that the ball hits the ground. c. Plot the graphs of velocity and position versus time. *** If possible, please solve for part b using the graphing calculator? Thank you.