A crate of mass 10.5 kg is pulled up arough incline with an initial speed of 1.5

Question

A crate of mass 10.5 kg is pulled up arough incline with an initial speed of 1.50 m/s. The pulling forceis 100 N parallel to the incline, which makes an angle of20.0° with the horizontal. Thecoefficient of kinetic friction is 0.400, and the crate is pulled5.20 m. (a) How much work is done by gravity?
1 J
(b) How much mechanical energy is lost due to friction?
2 J
(c) How much work is done by the 100 Nforce?
3 J
(d) What is the change in kinetic energy of the crate?
4 J
(e) What is the speed of the crate after being pulled 5.20 m?
5 m/s
A 2.0 g particle moving at 5.0 m/smakes a perfectly elastic head-on collision with a resting 1.0 gobject. (a) Find the speed of each after thecollision. 2.0 g particle 1 m/s 1.0 g particle 2 m/s (b) Find the speed of each particle after thecollision if the stationary particle has a mass of 10 g. 2.0 g particle 3 m/s 1.0 g particle 4 m/s (c) Find the final kinetic energy of theincident 2.0 g particle in the situations described in (a) and(b). KE in part (a) 5 J KE in part (b) 6 J

A block of mass 2.50 kg is pushed 2.00 m along a frictionless horizontal table by aconstant 20.0 N force directed 25.0°below the horizontal. (a) Determine the work done by the appliedforce.
1 J
(b) Determine the work done by the normal force exerted by thetable.
2 J
(c) Determine the work done by the force of gravity.
3 J
(d) Determine the work done by the net force on the block.
4 J (a) How much work is done by gravity?
1 J
(b) How much mechanical energy is lost due to friction?
2 J
(c) How much work is done by the 100 Nforce?
3 J
(d) What is the change in kinetic energy of the crate?
4 J
(e) What is the speed of the crate after being pulled 5.20 m?
5 m/s
A 2.0 g particle moving at 5.0 m/smakes a perfectly elastic head-on collision with a resting 1.0 gobject. (a) Find the speed of each after thecollision. 2.0 g particle 1 m/s 1.0 g particle 2 m/s 2.0 g particle 1 m/s 1.0 g particle 2 m/s (b) Find the speed of each particle after thecollision if the stationary particle has a mass of 10 g. 2.0 g particle 3 m/s 1.0 g particle 4 m/s 2.0 g particle 3 m/s 1.0 g particle 4 m/s (c) Find the final kinetic energy of theincident 2.0 g particle in the situations described in (a) and(b). KE in part (a) 5 J KE in part (b) 6 J
KE in part (a) 5 J KE in part (b) 6 J

A block of mass 2.50 kg is pushed 2.00 m along a frictionless horizontal table by aconstant 20.0 N force directed 25.0°below the horizontal. (a) Determine the work done by the appliedforce.
1 J
(b) Determine the work done by the normal force exerted by thetable.
2 J
(c) Determine the work done by the force of gravity.
3 J
(d) Determine the work done by the net force on the block.
4 J (a) Determine the work done by the appliedforce.
1 J
(b) Determine the work done by the normal force exerted by thetable.
2 J
(c) Determine the work done by the force of gravity.
3 J
(d) Determine the work done by the net force on the block.
4 J 2.0 g particle 1 m/s 1.0 g particle 2 m/s

Explanation / Answer

mass m = 10.5 kg
initial speed u = 1.50 m/s The pulling force F = 100 N angle = 20.0° The coefficient of kinetic friction = 0.400 pulled distance S = 5.20m. (a) work is done by gravity w =- mg sin * S                                              = -183 J

(b) mechanical energy is lost due to friction E =-mg cos * S
                                                                     = -201.12 J
(c) work is done by the 100 N forcew ' = 100 N * S                                                              = 520 J

(d) the change in kinetic energy of the crate = net workdone                                                                   = w ' + w +E                                                                 K= 135.87 J

(e) we know K = ( 1/ 2) m [ u ^ 2- v ^ 2 ] from this you find   v value                         

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