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If the pulleys in Fig. P-1055 are weightless and frictionless, find the acceleration of body A.
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- Crates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface. Write an expression for the ratio fo the normal forces, A to B in terms of theta?Problem #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 block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ Ө = 49.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N = (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s = 2.00 kg, m2 = 4.95 kg, and (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction μ for which the system will not move? Ms
- Crates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface. What is the ratio of the normal forces, A to B?The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.00 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s²Determine the acceleration of both if m1 = 11.0 kg, m2 = 18.0 kg andθ = 30°. The inclined surface is friction-free. Draw the free body diagrams of each of the masses (pulley is excluded).
- A toy jeep rolls down an incline at a constant velocity. The jeep's mass is m = 1.9 kg and the ramp makes an angle of θ = 17 degrees with respect to the horizontal. Assume the rolling resistance is negligible. Assuming the jeep experiences only air resistance in opposition to its motion, with magnitude Fr. Write an expression for the sum of the forces in the x-direction using the acceleration due to gravity, g, and the variables provided.The nucleus of Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 3.16 x 10-15 m apart? N (b) What is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u. m/s2Two masses, m1 = 5 kg and m2 = 4 kg, are situated on a frictionless horizontal surface and connected by a rope. A force, F = 18 N, on the mass to the right. Determine the magnitude of the acceleration, a, of the two masses movingon the horizontal surface. Determine the tension T in the rope.