A ball of mass 2 kg is placed at a height of 50 m from the ground.If the ball starts rolling down the inclined plane, what are thepotential and kinetic energies at positions A, B, C and D assumingthat the ball does not experience any frictional force?

If I found the potential energy at point B (where the height is 25meters), how do I find velocity so I can calculate the kineticenergy?

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1) a loaded cart with a mass of 96 kg sits at reat atop a 40 degreeinclined plane that measures 20.5m long. accidentally the cartstarts so to roll down the inclined plane with a frictional forceof 5550N working against it for the intire 20.5m. deteremine thespeed at the bottom og the incline plane.
2) a 1,420kg boulder at rest, begins to roll down a 52m longhillside. while rolling, the ground causes a frictional force of12,040N. the boulder arrives at the bottom of the hillside with aspeed of 19.5m/s. determine the boulder's original height.
3)a 2,420kg car starts from rest at the top of a 7.2m long drivewaysloped at a 25 degree angle to the horizon. if a fractional forceof 4,200N retards the motion, find the speed of the cat at thebottom of the driveway.

hi,

i have 5 questions i need the complete solutions with theirfinalresults. is there anyone could help me, i wouldappreciatethat.

1)A worker pushes a sled with a force of 40 N over
a level distance of 6.0 m. If a frictional force of 24 N actsonthe
wheelbarrow in a direction opposite to that of the worker, whatnetwork is
done on the wheelbarrow?

2)
A horizontal force of 200 N is applied to a
55-kg cart across a 10-m level surface. If the cart acceleratesat2.0 m/s2,
then what is the work done by the force of friction as it actstoretard the
motion of the cart?

3)
If both mass and velocity of a ball are tripled,
the kinetic energy is increased by a factor of:

a) 9, b) 12, c) 3, d) 6

4)
A 1 200-kg automobile moving at 25 m/s has the
brakes applied with a deceleration of 8.0 m/s2. How far does thecartravel
before it stops?

5)
Samantha pushes a 50-N crate up a ramp 25.0 m in
length and inclined at 10Â° with the horizontal. Whatpotentialenergy
change does the crate experience?

thank you in advance

Some Problems on Work
1. Joe is pulling a box of mass m = 10 kg up an inclined surface (?= 30degrees) using
a rope. The coefficient of kinetic friction between the surface andthe box is
Âµk = 0.5. It takes 10 seconds for Joe to bring up a box at aconstant velocity
V = 0.8m=s.
(a) What is the tension of the rope?
(b) What is the work done by the tension?
(c) What is the work done by the normal force?
(d) What is the work done by gravity?
(e) What is the total work done on the box?
(f) What is the power output necessary to Joe to bring up thebox?
maximal compression of the spring?
2. A block (m=50 kg) slides down a 3 m long inclined surface (? =30). The
coefficient of kinetic friction between the block and the surfaceis Âµk = 0.3.
Calculate the nal velocity of the block using the work-energytheorem.
3. A pendulum of length l and mass m is released from rest at anangle ? from
the equilibrium position.
(a) Neglect air friction. Calculate the velocity of the pendulumwhen the angle
is zero. Express your result in terms of ?, l, and m.
(b) Suppose ? = 60 degrees and l = 1 m. Suppose that the velocityof the pendulum
when the angle is zero is 1 m/s. Calculate the work done by the airfriction.
4. A point particle of mass m = 20 g is moving on a
at
surface when it reaches a slope which brigs it up by h = 08 m. Thespeed of
the particle in position A is v = 5 m/s.
(a) Suppose that there is no friction. What is the velocity of theparticle when
it reaches position B?
(b) Suppose that there is friction, and that the velocity of theparticle in B is
0. What is the work done by the friction from A to B?
5. A ball is shoot vertically with initial speed v, from a
table of height h.
(a) Calculate the maximal height ymax that the ball can reach (b)Calculate the velocity of the ball just before it hits thefloor.

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