Assume that the masses A and B are 4 kg and 10 kg, respectively. If the coefficient of friction 0.30, find the acceleration if a. B A 30⁰ the system is moving up the plane,
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- Starting from rest, a rectangular toy block with mass 300 g slides in 1.30 s all the way across a table 1.20 m in length that Zak has tilted at an angle of 42.0 to the horizontal. a. What is the magnitude of the acceleration of the toy block? b. What is the coefficient of kinetic friction between the block and the table? c. What are the magnitude and direction of the friction force acting on the block? d. What is the speed of the block when it is at the end of the table, having slid a distance of 1.20 m?A 70 kg box is resting on a reclining floor. The coefficient of fricion between the floor and the box is: static = 0.30, kinetic = 0.10. If the floor is to be inclined at an angle of 25 deg a. what would be the acceleration of the object along the direction of the inclined floor? b. what would be the vertical displacement of the box after 1.5 seconds? Express your answer in unit of meters. c. what is the total distance travelled by the box after 1.5 seconds? Express your answer in unit of meters.A friction experiment is performed on a planet that has the same mass as Earth but half the radius. A 1.0-kg block is pulled along a horizontal dynamics track with a horizontal force of magnitude 15.0 N. If the coefficient of kinetic friction between the block and the track is 0.3, determine the acceleration of the block. O a. 14.26 m/s^2 O b. 12.06 m/s^2 O. 3.24 m/s^2 Od. 15.00 m/s^2
- 9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch. As m; (2Kg) move down, m, move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 l20 Son la 11 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch, As m (2Kg) move down, m,move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 1
- A projectile of mass 0.75 kg is shot straight up into the air with an initial speed of 20 m/s. a. How high would it go if there were no air resistance? b. If the projectile rises to a maximum height of 12 m, determine the magnitude of the average force due to air resistance.Consider a setup with a horizontal table, two masses, a string, and a massless, frictionless pulley. Assume the masses are m1=1.8 kg and m2= 1.2kg. Also, assume that uk=0.20 and us=0.30. The masses are released from rest. a. I claim that there is a sufficient net force to get the system sliding. Do a calculation to show that I am right. Include some written explanation to justify your calculation. b. If m2 starts from rest at 0.50 m above the ground, how long does it take to hit the ground?You have just landed on Planet X. You release a 180 gg ball from rest from a height of 10.0 mm and measure that it takes 3.40 ss to reach the ground. Ignore any force on the ball from the atmosphere of the planet. A. How much does the 180 gg ball weigh on the surface of Planet X? Express your answer with the appropriate units
- A pendulum has a length l (the rope is massless). The mass of the object suspended from the pendulum is m. With rope horizontal θ = 90o When it makes an angle of degrees, we first leave the object at no speed. Any friction can be neglected. Gravitational acceleration g. Give your answers in terms of l, m and g. When = 0o, what is the tension in the rope?Two blocks are connected by a light string that passes over a frictionless pulley. The system is released from rest while m2 is on the floor and m1is a distance h above the floor. a. Assuming m1 > m2, find an expression for the speed of m1 just as it reaches the floor. b. Taking m1 = 6.5 kg, m2 = 4.2 kg, and h = 3.2 m, evaluate your answer to part (a) c. find the speed of each block when m1 has fallen a distance of 1.6 m.Asteroid 253 Mathilde is one of several that have been visited by space probes. This asteroid is roughly spherical with a diameter of 53 km. The free-fall acceleration at the surface is 9.9 × 10-³ m/s². Part A What is the asteroid's mass? Express your answer with the appropriate units. μÅ M = 2.9.10²¹ kg ?
