A stalactite in a cave has drops of waterfalling from it to the cave floor below. The drops are equallyspaced in time and come in rapid succession, so that at any givenmoment there are many drops in midair. (a) Is the center of massof the midair drops higher than, lower than, or equal to the halfway distance between the tip of the stalactite and the cave floor?(b) Choose the best explanation from among the following:I. The drops bunch up as they near the floor of the cave.II. The drops are equally spaced as they fall, since they are released at equal times.III. Though equally spaced in time, the drops are closer togetherhigher up

Q: Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom,…

A:

Q: (a) We know that a projectile follows a parabolic path in the absence of air resistance. If the…

A:

Q: You are hunting and have just fired a shot with a shotgun at a grouse in horizontal flight above…

A: We need to find where the combined mass is going to hit the ground on the x-axis.

Q: A small block of mass m, = 0.855 kg is released from rest at the top of a curved wedge of mass m, =…

A: Answer            (a) V2  = 0.3886 m/s             (b) h = 0.8956 m Solution

Q: star covers 2.85 m horizontally in a jump to dunk the ball, His motion through space can be modeled…

A:

Q: 3) Find the mass and center of mass of a wire in the shape of the helix: x = t, y = cost,z = sin t;…

A:

Q: As shown in the figure, if the blocks move with velocities u = 1 (m/s) and v = 2u (m/s), find the…

A:

Q: How could the center of mass be affected if a spherical object has a greater density of mass on one…

A: The point where the total mass of an object is believed to be concentrated is called the center of…

Q: Consider with F Find pasfe lir the 1- Find the 2- Find the

A: Given-r1=i+jr2=j+kr3=kv1=2iv2=jv3=i+j+k mass m=1

Q: Calculate the location of the center of mass of a thin uniform meter stick of mass 70.0 g, on which…

A:

Q: Find the mass of the ball of radius 2 centered at the origin with a density f(p,p,0) = 5e¯p³ The…

A:

Q: Far out in space, two rockets (160,000 kg and 250,000 kg) are docked at opposite ends of a rigid 12…

A: Given Rocket 1 mass m1 = 160000 kg Rocket 2 mass m2 = 250000 kg Distance                   = 12 m…

Q: The center of mass of a system of particles has a constant velocity if?

A: The velocity and acceleration of a center of mass can be expressed as.

Q: Two discs sliding on a horizontal plane without friction with opposite speeds of the same magnitude…

A:

Q: A hammer of mass m = 0.465 kg is moving horizontally at a velocity of v = 3.5 m/s when it strikes a…

A:

Q: Two hockey pucks moving with initial velocities vĄ and vg collide as shown. The mass of A is 1.4 kg…

A: Given, mA=1.4 kgmB=3.5 kgvA=12.5 m/svB=6.0 m/scoefficient of restitution e=0.49θ=21°

Q: Eight spherical rain drops of the same mass and radius are falling down with a terminal speed of 6…

A: The mass of the eight rain drops is given as, m. The radius of the eight rain drops is given as, r.…

Q: A rocket in space consumes fuel and oxidzer at the rate of 2.10 x 10 kgs with an eshaust speed of…

A:

Q: A box of mass m is placed on a horizontal table.the magnitude of the Normal perpendicular to the…

A: Given, A box of mass m is placed on a horizontal table. The force acting in vertical direction is…

Q: A projectile fired from a gun at a certain angle to the horizon at a certain speed at the top point…

A: Given,

Q: A basketball star covers 2.85 m horizontally in a jump to dunk the ball. His motion through space…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose a fireworks shell explodes, breaking into three large pieces for which air resistance is…

A:

Q: Two spheres, A and B with masses mA = 1,35 kg and mg=2.96 kg, respectively, collide with = 26.2 m/s…

A:

Q: The center of mass G of a high jumper follows the trajectory shown. Determine the component vo,…

A:

Q: A stone is dropped at t = 0. A second stone, with 2 times the mass of the first, is dropped from the…

A: a) The stones are in free fall,…

Q: Spectators watch a bicycle stunt rider travel off the end of a 57.5° ramp, rise to the top of her…

A: Given data: The inclination of the ramp is θ=57.5o. The time taken by the rider to reach the ground…

Q: The mass of a particle is 2 kg and its velocity is given by V1 = 2i-10tj m/s, with time in t and s.…

A: The velocity of the center of mass of a given system of particles is given by- vCM=m1v1+m2v2m1+m2…

Q: A golf ball is dropped from a height of 20 ft upon a hardened steel plate. The coefficient of…

A:

Q: A cube measuring bxbxb with a mass, m lies on a horzontal flat surface. The cube is subjected to the…

A: Considering the body to at rest initially ,initial velocity of the body will v1 = 0When an impulse L…

Q: While skydiving, a brilliant young physics student known affectionately as “Crazy Kaitlin” launches…

A:

Q: A basketball star covers 2.85 m horizontally in a jump to dunk the ball. His motion through space…

A:

Q: A balls is at rest, located at the origin, suddenly explores into three equal pieces. One piece is…

A: Let m be defined as the mass of the ball.  Given it explodes in three equal pieces. Therefore, the…

Q: Show that the centre of a rod of mass M and length L lies Midway between it's end, assuming the rod…

A: Answer : ⇆x=0x-xdk      Consider a small length element dx ,whose distance from the left end of the…

Q: Ahockey puck of mass 322 g is siding due east on a fictionless table with a speed of 150 ms…

A:

Q: Four beads, each of mass m = 1 kg, are attached at various 1 kg, and radius R= 1 m (see figure).…

A: Determine the co-ordinates of the beads of the masses using trigonometrical identities relation with…

Q: A uniform square of mass 4 kg and sides 2 m and negligible thickness is centered at the origin.…

A: Centre of mass of a body or system of a particle is defined as, a point at which the whole of the…

Q: The 90kg man dives from the 40kg canoe. The velocity indicated in the figure is that of the man…

A: The 90kg man dives from the 40kg canoe. The velocity indicated in the figure is that of the man…

Q: The 5 kg ball Ais released from rest when θ=60°and swings down, striking the 10 kg block B. If the…

A: Given data: The mass of the ball is m=5 kg The mass of the block is M=10 kg The angle is 60 degrees…

Q: If my value is increased, the lift and drag faced by the rocket (in most cases) also increases. Who…

A: The lift and drag are the two major mechanical forces that affect the rocket aerodynamics. The force…

Q: A 3 kg mass is located at (-3, 3), a 7 kg mass is located at (4, 2) and a 1.2 kg mass is located at…

A: Expression for x coordinate and y coordinate of the center of mass-  CMx=ΣmixiΣmiCMy=ΣmiyiΣmi Given…

Q: a ball of mass 2 kg impinges directly with a ball of mass 1 kg, which is at rest. if the velocity is…

A: Given data: The mass of the ball is m1=2 kg  The mass of the smaller ball is m2=1 kg  The velocity…

Q: Problem 3: (a) Use spherical coordinates to find the center of mass (CM) of a uniform solid…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.