Q6) A block of mass m = 1.18 kg is moving on a horizontal surface subject to a force with UO al²+y²) + 1 potential U(x,y) =| Where Uo = 3.46 Nm and a = 2.90 1/m² . Here x,y are the cartesian coordinates on the surface. a) What is the magnitude of the force derived from the potential U at x = 2.30 m, y = 2.16 m ? b) The block starts at x = 0, y= 0 with a speed v = 1.16 m/s. What is the speed of the block has at the final location x = 2.25 m, y = 1.07 m? Neglect friction in this part of the problem. c) In this part of the question the surface/block system has a coefficient of kinetic friction of uk = 0.778. Assume g= 9.80 m/s².| You act with an additional force on the block, which moves the block from an initial position x = 1.88 m, y = 1.71 m (starting from rest) to the final position at x = 0, y = 0. What is the smallest possible amount of work this additional force does on the block to accomplish this?
Q6) A block of mass m = 1.18 kg is moving on a horizontal surface subject to a force with UO al²+y²) + 1 potential U(x,y) =| Where Uo = 3.46 Nm and a = 2.90 1/m² . Here x,y are the cartesian coordinates on the surface. a) What is the magnitude of the force derived from the potential U at x = 2.30 m, y = 2.16 m ? b) The block starts at x = 0, y= 0 with a speed v = 1.16 m/s. What is the speed of the block has at the final location x = 2.25 m, y = 1.07 m? Neglect friction in this part of the problem. c) In this part of the question the surface/block system has a coefficient of kinetic friction of uk = 0.778. Assume g= 9.80 m/s².| You act with an additional force on the block, which moves the block from an initial position x = 1.88 m, y = 1.71 m (starting from rest) to the final position at x = 0, y = 0. What is the smallest possible amount of work this additional force does on the block to accomplish this?
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Transcribed Image Text:Q6) A block of mass m =
1.18 kg is moving on a horizontal surface subject to a force with
UO
ala? +x²) + 1
potential U(x,y) =
Where Uo = 3.46 Nm and a =2.90 1/m2 . Here x,y are the cartesian coordinates on the surface.
a) What is the magnitude of the force derived from the potentialU at x = 2.30 m, y = 2.16 m ?
b) The block starts at x = 0, y= 0 with a speed v =
1.16 m/s. What is the speed of the block has at
the final location x = 2.25 m, y = 1.07 m? Neglect friction in this part of the problem.
c) In this part of the question the surface/block system has a coefficient of kinetic friction of
uk = 0.778. Assume g = 9.80 m/s².|
You act with an additional force on the block, which moves the block from an initial position
x = 1.88 m, y = 1.71 m (starting from rest) to the final position at x = 0, y = 0. What is the
smallest possible amount of work this additional force does on the block to accomplish this?
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