6. Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure to the right. If the coefficient of kinetic friction between the inline and m₂ is 0.25, m₁ = 2.00 kg, m₂ = 6.00 kg, and = 55.0°, calculate: (a) the magnitude of the acceleration of the objects (b) the tension in the string m m₂
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- Two packing crates of masses m₁ = 10.0 kg and m₂ = 7.10 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 7.10-kg crate lies on a smooth incline of angle 41.0°. Find the following. m₁ m₂ 8 (a) the acceleration of the 7.10-kg crate 4.123 X m/s² (up the incline) (b) the tension in the string NIn the following figure m_1 = 20.0 kg and angle = 51.4 degrees. The coefficient of kinetic friction between the block and the incline is μ_k = 0.40. a) What must be the mass (m_2) of the hanging block if it is to descend 13.5 m in the first 3.00 s after the system is released from rest?5. A box of mass m = 5kg is sliding with constant velocity down an incline that makes an angle of 0 = 30° with the horizontal. The coefficient of static friction is s = 0.75 and the coefficient of kinetic friction is μ = 0.5. What is the magnitude of the friction?
- Objects with masses m₁ = 11.0 kg and m₂ = 6.0 kg are connected by a light string that passes over a frictionless pulley as in the figure below. If, when the system starts from rest, m₂ falls 1.00 m in 1.64 s, determine the coefficient of kinetic friction between m₁ and the table. 54.39 X Express the friction force in terms of the coefficient of kinetic friction. Obtain an expression for the acceleration in terms of the masses and the net force, including friction, and solve for the coefficient of kinetic friction. m1 m₂Problem #2: A 3.00 kg block (mass 1) and a 5.00 kg block (mass 2) are connected by a light string as shown; the inclination of the ramp is 40.0°. Friction is negligible. What is: (a) the acceleration of the blocks (b) the tension in the string? 40° 2. 2)A person on a sled starts descending from the highest point of a snowy slope with a 30º inclination and 150 m in length. The combined mass of the person and the sled is 90 kg. At the end of the slope, they continue moving on a horizontal track until they stop. The coefficient of friction between the sled and the snow is \( \mu = 0.18 \) in both cases. 1. Draw the forces acting on the sled in each section. 2. Calculate the mechanical energy dissipated due to friction on the inclined section. 3. With what speed does it reach the end of the slope? 4. What distance does the sled travel on the horizontal plane before stopping?
- A string is tied to a 3.2 kg object on a table and a 1.5 kg object hanging over a pulley.The coefficient of kinetic friction between the 3.2 kg object and the table is0.30.(a) Draw FBD for each object. D/(b) Calculate the acceleration of each object.(c) Determine the magnitude of the tension in the string.(d) How far will the objects move in 1.2 s if the initial velocity of the 3.2 kg object is1.3 m/s [right]?The figure below shows a box with a mass of m= 3.90 kg on a ramp inclined at an angle of 35.0°. The coefficient of static friction between the box and the ramp is 0.250. Find the minimum magnitude of the force F (in N), applied to the box in a direction perpendicular to the ramp, that will prevent the box from sliding down the ramp. N m 35.0°7. A mass m₁ = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 8.0 kg to a mass m2 8.50 kg sliding on a frictionless inclined surface that makes an angle of 23° with the horizontal (see figure). The coefficient of kinetic friction between the mass m₁ and the horizontal surface is 0.19. There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system? (The moment of inertia of the pulley is 1/2Mr².) m/s² m₂ m3 = m₁