Infinite number of bodies, each of mass 2 kg are situated on x- axis at distances 1m, 2m, 4m, 8m, ... respectively, from the origin The resulting gravitational potential due to this system at the origin will be -

Q: A 55 kg skateboarder (with the board) wants to just make it to the upper edge of a "half-pipe" with…

A: i) Let the mass of the skateboarder with the board be denoted by m. If the skateboarder is treated…

Q: A 70kg person climbs 2 meters up a ladder. Find the gravitational energy of the person at the bottom…

A: Given data: The mass, m=70 kg The distance climbs by a person on a  ladder, h=2 m

Q: A bullet is shot straight up from the surface of the Moon (g = 1.62 m) with an initial velocity of…

A: Using conservation of energy : Gain in potential energy = Loss in kinetic energy mgh = 12mv2  m x…

Q: (3) Consider a force given by F = xyâ and the work done by this force on a mass m as the mass moves…

A: The work done by a force on the object is given by Where  = Force vector,  = displacement vector…

Q: 4. Two particles with mass m, and m2 are floating in space connected by a massless spring with…

A: Given Two particle mass = m1 and m2 Spring constant    = k Length                   = l Find the, V1…

Q: Imagine you lift a book from the ground to the top of the table. Does the increase in gravitational…

A: The given problem is based on gravitational potential energy To solve the given problem we will…

Q: An object is mov ed from pont P(O,0> 0) to point Q (4,7,5) by exerting a force in the direción ŷ = Ì…

A: Write a given value of this question. P=(0,0,0)Q=(4,7,5)V→=F→F→=i^+4j^+8k^

Q: An object that has gravitational potential energy must be which of the following? (A) moving B…

A: Option (c) is correct. Explanation - Since we know that P = mgh  So, an object that has…

Q: 5. Referring to potential energy vs position graph below... U (J) 80 60 40 20 0 0 5 10 15 20 x (m)…

A:

Q: How much work is required to stop an electron (m = 9.11 × 10–31 kg) which is moving with a speed of…

A: Given Data: The mass of an electron is, m=9.11×10-31 kg The initial speed of an electron is,…

Q: (d) What is the power being exerted on the particle at the point (t > 0) when it again passes…

A: At x= 0,t =0 and hence the acceleration of the particle = 10 m/s^2The mass of the particle = 100…

Q: 26. Calculate (i) the kinetic energy stored in a mass of 48 kg when moving with a velocity of 25…

A:

Q: Use the conservation of energy to determine the minimum vertical speed that an object must have at…

A:

Q: Determine the gravitational potential energy of the ball at: a) just after launch; b) at the apex of…

A: The gravitational potential energy is energy an object feels due to its position in a gravitational…

Q: 94. The expression (1+x)" can be approximated as 1 + nx, provided |x|<1. Here, the exponent n does…

A:

Q: Problem 1 (.. An object of mass 10 kg is moving with an initial speed of 5 m/s on a surface. After…

A: When the object encountered by the opposing force, negative work is done on the  object. Of the…

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.