A block is allowed to slide down a ramp of length L until it reaches the bottom. The coefficient of kinetic friction between the block and the ramp is μk > 0. If the experiment is carried out with the ramp at an angle of θ = 30∘, 45∘, and 60∘ to the horizontal, in which case does the force of friction do the most work?
A 1410-kg submarine rises straight up towards the surface. Seawater exerts both an upward buoyant force of 16900 N on the submarine, as well as a downward resistive force of 1180 N. What is the submarine's acceleration? Number Units
A block (mass = 1.8 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.3 ×10−3 kg⋅m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.049 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord.
A worker stands still on a roof sloped at an angle of 43∘ above the horizontal. He is prevented from slipping by a static frictional force of 600 N. Find the mass of the worker. Number Units
What is the magnitude of the torque on a particle if its angular momentum of this particle is given by l→ = 4.ti^ + 2.tj^ − 0.5 k^ in kg⋅m2 /s? 4.0 i+2.0 j N.m 20 N.m 4.47 N.m 5.50 N.m
In the Figure below, a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.39 kg) and embeds itself in block 2 (mass 1.89 kg). The blocks 1 and 2 end up with speeds v1 = 0.600 m/s and v2 = 1.44 m/s respectively. We assume direction is to the right. Neglect the material removed from block 1 by the bullet. Whenever needed, round your final answers to nearest whole numbers. (1) (2) Bullet is fired horizontally at two blocks at rest on a frictionless table. PS: Indicate which equation (law) you are using, brief necessary calculation steps, and final answers must be Sl units in the answer box below. A) By applying the law of conservation of momentum, find the velocity vf→ of the bullet as it leaves block 1. B) Calculate the velocity vi→ of the bullet as it enters block 1. C) What's the type of collision as the bullet embeds itself in block 2? Explain why? D) Compare the Kinetic energy, at the beginning of the motion, as the bullet passes through block 1. Can we say the law of conservation of kinetic energy has been applied?