Asst_25_query

course PHY 201

̩Dv쉉ڗĻӤ{ֈassignment #025

Uԭq݁{룺

Physics I

04-27-2008

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12:50:48

principles of physics and gen phy 4.26 free-body diagram of baseball at moment hit, flying toward outfield

gen phy list the forces on the ball while in contact with the bat, and describe the directions of these forces

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While in contact with the bat, gravity is doing work on the ball in the negative x direction. The ball is doing work on the bat in the negative x direction. The bat is doing work on the ball in the positive x direction.

Right idea but it's safer to say 'exerting force' rather than 'doing work'. For example, the ball is probably not moving downward so gravity is probably not doing positive work on it. Note that work can be positive or negative but doesn't have a direction; if the ball is rising then gravity is doing negative work on it.

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12:51:41

** Gravity exerts a downward force equal to the weight of the ball.

While in contact with the ball, and only while i contact, the bat exerts a normal force, which pushes outward along a line originating from the central axis of the bat. This force is perpendicular to the surface of the bat at the point of contact.

Unless the direction of the ball is directly toward the center of the bat, which will not be the case if the ball is hit at an upward angle by a nearly level swing, there will also be a frictional force between bat and ball. This frictional force will be parallel to the surface of the bat and will act on the ball in the 'forward' direction.

COMMON STUDENT ERROR: The gravitational force and the force exerted by the ball on the bat are equal and opposite.

The force of the bat on the ball and the gravitational force are not equal and opposite, since this is not an equilibrium situation--the ball is definitely being accelerated by the net force, so the net force is not zero. **

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13:00:51

gen phy list the forces on the ball while flying toward the outfield, and describe the directions of these forces

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The ball is doing work in the positive x and y directions against gravity and against friction in the form of wind resistance.

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13:08:42

gen phy give the source of each force you have described

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gravity and wind resistance are inherent to being on earth, and the force that the ball exerts against them comes from the energy that was given to the ball when it was struck by the bat

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13:10:11

gen phy what is the net force on the ball while flying toward the outfield?

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RESPONSE -->

the momentum of the ball minus the wind resistance and gravity

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13:10:40

** The net force will consist of the downward gravitational force and the force of air resistance opposing the motion.

If the ball is rising the y component of the air resistance will be in the downward direction, reinforcing the gravitational force and giving a net downward y component slightly exceeding that of gravity.

If the ball is falling the y component will be in the upward direction, opposing the gravitational force and giving a net downward y component slightly less than that of gravity.

In either case the x component will be in the direction opposite to the motion of the ball, so the net force will be directed mostly downward but also a bit 'backward'.

There are also air pressure forces related to the spinning of the ball; the net force exerted by air pressure causes the path of the ball to curve a bit, but these forces won't be considered here. **

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13:10:47

Univ. 5.88 (5.84 10th edition). Elevator accel upward 1.90 m/s^2; 28 kg box; coeff kin frict 0.32. How much force to push at const speed?

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Not Univ Phy

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13:10:50

STUDENT SOLUTION AND INSTRUCTOR COMMENT: The magnitude of kinetic friction force is fk = mu-sub k * N. First we add the 1.9 to 9.8 and get 11.7 as the acceleration and times that by the 28 kg and get 327.6 as the force so plugging in we get fk = 0.32 * 327.6 = 104.8 N.

** Good.

The net force Fnet on the box is Fnet = m a = 1.90 m/s^2 * 28 kg.

The net force is equal to the sum of the forces acting on the box, which include the weight mg acting downward and the force of the floor on the box acting upward. So we have

Fnet = Ffloor - m g = m a.

Thus Ffloor = m g + m a = 28 kg * 9.8 m/s^2 + 28 kg * 1.90 m/s^2 = 28 kg * 11.7 m/s^2 = 330 N, approx.

Being pushed at constant speed the frictional force is f = `mu * N, where N is the normal force between the box and the floor. So we have

f = .32 * 330 Newtons = 100 N, approx. **

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Your work looks very good. Let me know if you have any questions. &#