The figure below shows three blocks being pushed across a frictionless floor by horizontal force F→. (a) What total mass is accelerated to the right by force F→? 17 kg 20 kg 18 kg 9 kg (b) What total mass is accelerated to the right by force F→21 of block 1 on block 2? 12 kg 15 kg 16 kg 13 kg (c) What total mass is accelerated to the right by force F→32 of block 2 on block 3? 17 kg 15 kg 16 kg 10 kg (d) Rank the blocks according to their accelerations, greatest first (use only the symbols > or = , for example 1 > 2 = 3). (e) Rank forces F→, F→21, and F→32 according to their magnitude, greatest first (use only the symbols > or = , for example F = F21 > F32).
When filled with sand, a bucket has a mass of 40 kg. The bucket with the sand must be lifted to the top of a 50 meter tall building. A rope with mass 0.3 kg/m is used to lift the bucket. It takes 1 meter of rope to secure the bucket. When the bucket reaches the top of the building, its mass is only 30 kg because a hole in the bottom of the bucket leaks sand at a constant rate while the bucket is being lifted to the top of the building. Part a) Determine the force applied to lifting the bucket. F(x) = N Part b) What is the work done in lifting the bucket to the top of the building? (If necessary, round your final answer to five? decimal places.) W = Joules
Two pieces of clay, with masses m1 = 0.5 kg and m2 = 0.7 kg are moving as shown above, both with the same speed of 5.2 m/s. The angle is given by θ = 33∘. The two pieces collide and stick together. What is the speed of the combined 1.2 kg lump of clay after collision? How much kinetic energy was lost in the collision?
In the figure, a small block of mass m = 0.042 kg can slide along the frictionless loop-the-loop, with loop radius R = 15 cm. The block is released from rest at point P, at height h = 4R above the bottom of the loop. How much work does the gravitational force do on the block as the block travels from point P to (a) point Q and (b) the top of the loop? If the gravitational potential energy of the block-Earth system is taken to be zero at the bottom of the loop, what is that potential energy when the block is (c) at point P, (d) at point Q, and (e) at the top of the loop? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
For the situation in the figure below, use momentum conservation to determine (a) the magnitude and (b) the direction of the final velocity of ball 1 after the collision. The angle ϕ = 51.0∘. (a) (b) (a) Top view of two balls colliding on a horizontal surface. (b) This part of the drawing shows the x and y components of the velocity of ball 1 after the collision.