True or False A particle can have acceleration but no veloci

True or False. A particle can have acceleration, but no velocity. True b. False Block A and Block B are on frictionless horizontal planes. Block B\'s mass is four times that of block A\'s. Both blocks initially start at rest. At time t = 0, identical forces, F, are applied to both blocks. Both blocks travel the same distance, d. Which block covers the distance, d, first Block b. Block B. c. Both cover the distance in the same amount of time. d. Not enough information is given. Which block has a higher kinetic energy after it travels distance d? (Remember that kinetic energy for a translating mass is given as: K.E. = 1/2 mv^2. Also think about the work-energy equations for each block) Block b. Block B. c. Both have the same kinetic energy. d. Neither have kinetic energy after they travel distance d. e. Not enough information is given. Useful Expressions sigma F = ma v = ds/dt a = dv/dt v dv = a ds U_1-2 = integral_1^2 F dr

Solution

(1) True.      option(a)

A body can have acceleration but no velocity.

Ex: When we through a stone upwards, at its maximum height the velocity is zero, but still it has acceleration due to gravity.

When we apply a force on a body at rest on a frictionless surface. It still has acceleration in rest due to applied force.

(2) Block A reaches the distance first. option (a) is correct.

Block A has less mass and more acceleration. So block A reaches first.

F=ma

a=F/m    (for same force applied, the body with least mass will have more acceleration, reaches first)

(3)

Both have the same kinetic energy after travelling distance d. Option (c) is correct.

As the force and distance travelled is same.

U=Integral(F.dr)=(1/2)mv^2=Constant                                     ------> (Initial Kinetic energy is zero)

Both have the same kinetic energy after travelling distance (d)