The 100 kg sphere A is released from rest at an angle of α from the vertical, and hits the 10 kg block B (initially at rest), causing block B to have an initial velocity of 5 m/s as it enters the circular ramp (radius = 5 m) and stop temporarily at a final height h. The coefficient of restitution between sphere A and the block B is 0.6. Assume all surfaces are frictionless. Also assume direct impact between A and B. What is the velocity of A just before it hits block B? And what is the length of the rope l, if angle alpha is 30 degrees

Q: A cannon of mass 5.80x10 kg is rigidly bolted to the earth so it can recoil only by a negligible…

A: Given data: Mass of cannon, mc=5.80×103kg Mass of shell, ms=85.0 kg Initial velocity, v=551 m/s

Q: When a basketball player takes a standing shot, a coordinate system Oxy is formed with the center of…

A:

Q: An asteroid with a mass of 75 kg is travelling in deep space, far away from the the gravitational…

A:

Q: The simple pendulum A of mass mA = 3.7 kg and length / = 1.46 m is suspended from the trolley B of…

A: Mass of pendulum: mA=3.7 kg Length of pendulum: l=1.46 m Mass of trolley: mB=5.1 kg

Q: The Zacchini family was renowned for their human- cannonball act in which a family member was shot…

A: Given information: Here, R is the range, s is the distance traveled inside the barrel, θ is the…

Q: A block of mass m(0.5kg) slides along a frictionless track with speed vm. It collides(an elastic…

A: (given) Mass of sliding block = 0.5 kg Mass of stationary block = 0.25 kg R is the radius of the…

Q: A spring of negligible mass is compressed between two blocks, A and B, which are at rest on a…

A: distance of block B from right wall (d) = 5.8 m distance of block A from left wall (d') = 1 m mass…

Q: With an initial speed of v0 in the horizontal direction, a little bead of mass m glides down from…

A: Initial Velocity Vo Dropped h = R-Rcos(teta)

Q: (a) A 11.0 g wad of sticky clay is hurled horizontally at a 120 g wooden block initially at rest on…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A firework shell of mass m launched into the air and exploded when it reaches its highest point of…

A: Relevant theory: Newton's first law states that an object in a state of rest or motion remains in…

Q: A cube with the dimensions bxbxb and a mass, m, lies on a horizontal surface. The cube is subjected…

A: To determine:  The distance travelled by the cube on the horizontal surface.The mass of the cube is…

Q: An asteroid with a mass of 75 kg is travelling in deep space, far away from the the gravitational…

A:

Q: The figure shows an arrangement with an air track, in which a cart is connected by a cord to a…

A: Given: Mass m1=0.540 kg and its centre is initially at xy coordinates(-0.330 m, 0 m) The block has…

Q: The figure below shows four spheres at the corners of a rectangle, connected by rods of negligible…

A: Given that The masses of the four sphere are  m1 =2.50kg m2=1.50kg m3=3.70kg m4=1.70kg The width of…

Q: u(x)=-x^3+4x^2. At the initial moment of time a body of mass 2g starts out from the point x_0 at a…

A: Given: The value is u(x)=-x^3+4x^2. At the initial moment of time a body of mass 2g starts out from…

Q: A 10 g bullet with velocity v passes through a 0.60 kg pendulum and exits with velocity v / 2. The…

A:

Q: Consider an extremely wide but thin sheet of plastic with −2.4 × 10-6 C/m2 that is resting on the…

A: Given: Mass of bead,m=0.14kgCharge,Q=7.2×10-6CSurface Charge Density,σ=2.4×10-6C/m2Permitivity of…

Q: A 0.6 kg ball A is moving with a velocity of magnitude 6 m/s when it is hit as shown by a 1-kg ball…

A: We first defineVa​=6m/sma​=0.6kgVb​=−4m/smb​=1kgThe coefficient of restitution is defined as the…

Q: A small block of mass m1 = 0.770 kg is released from rest at the top of a curved wedge of mass…

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Q: A rod of length 30.50 cm has linear density (mass per length) given by λ = 50.0+ 21.0x where x is…

A:

Q: A small rubber ball of radius r is thrown against a rough floor with a velocity VA of magnitude v0…

A: Given: A small rubber ball of radius r is thrown against a rough floor with a velocity VA of…

Q: A 3 kg asteroid is moving way out in space with velocity 3î – 2ĵ + 7k ms1. It collides with an…

A: Given data: Mass of asteroid 1 is, m1=3 kg. Velocity vector of asteroid 1 is, v1→=3i^-2j^+7k^ m/s.…

Q: A curved incline is used to give a box a certain velocity as it slides down. The box has a mass of…

A:

Q: During a squash game, a player hits the ball, of 24 g, which is moving toward him horizontally at…

A: m=241000 Kg (mass of the ball)u=-150 Km/h (initial velocity of ball before…

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.