query asst 25

course Phy 201

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025. `query 25

Physics I

12-09-2007

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23:09:16

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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For 4.26, I have a problem about a person pushing a lawn mower.

For the baseball,

the bat is exerting a force on the ball sideways and upward

gravity is exerting a downward force on the ball

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23:11:22

** 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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RESPONSE -->

Gravity exerts a downward force equal to the ball's weight.

While the bat is in contact with the ball, the bat pushes the ball outward along the central axis of the bat.

Will likely be a frictional force on the ball from the bat which will make the ball go forward.

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23:13:05

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

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RESPONSE -->

The force of gravity will cause the ball to go downward.

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23:13:48

**After impact the forces are gravity, which is constant and in the y direction, and air resistance. The direction of the force of air resistance is opposite to the direction of motion. The direction of motion is of course constantly changing, and the magnitude of the force of air resistance depends on the speed of the ball with respect to the air, which is also changing. **

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RESPONSE -->

Air resistance will be opposite to the direction of motion.

Gravity will also affect the ball.

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23:14:41

gen phy give the source of each force you have described

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RESPONSE -->

Air resistance= from the air because the air is made of particles that slow the ball down

Gravity=acts to make the ball fall toward the center of the Earth

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23:15:52

** The gravitational force is the result of the gravitational attraction between the ball and the Earth.

The normal force is the result of the elastic compression of bat and ball.

The frictional force is due to a variety of phenomena related to the tendency of the surfaces to interlock (electromagnetic forces are involved) and to encounter small 'bumps' in the surfaces. **

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RESPONSE -->

Frictional force is due to the small bumps on the surfaces that have tendency to come together.

The normal force is from the compression of the bat and ball when they hit.

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23:17:27

gen phy what is the direction of the net force on the ball while in contact with the bat?

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RESPONSE -->

Straight out from the center of the bat to the ball

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23:21:47

** The normal force will vary from 0 at the instant contact begins to a maximum at the instant of greatest compression, and back to 0 at the instant contact ceases. So there is no single normal force. However we can represent 'the' normal force as the average normal force. The gravitational force will remain constant; the frictional force will vary along with the normal force, and we will speak here of the average frictional force.The average normal force will be the greatest force, much greater than friction or gravity. The frictional force will likely also exceed the gravitational force.

The y component of the normal force will overwhelm the y components of the frictional force and the gravitational force, both of which are downward, giving us a net y component slightly less than the y component of the normal force.

The x component of the normal force will be reinforced by the x component of the frictional force, making the x component of the net force a bit greater than the x component of the normal force.

This will result in a net force that is 'tilted' forward and slightly down from the normal force.

Note that the frictional force will tend to 'spin' the baseball but won't contribute much to the translational acceleration of the ball. This part is a topic for another chapter. **

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RESPONSE -->

The y component of the normal force will overwhelm the y components of the frictional and gravitational forces, giving a net y component a bit less than the y component of the normal force.

The x component of the normal force will be reinforced by the x component of the frictional force, making the x component of the net force a bit greater than the x component of the normal force.

The net force will be tilted forward and slightly down from the normal force.

Am confused by ""the y component of the normal force will overwhelm the y components of the frictional and gravitational forces""

The weight of the ball is very much less than the normal force exerted by the bat. If the same ball was struck the same way on the Moon, it would rebound from the bat with practically the same velocity, even though the gravitational force on the Moon is much less than that on Earth, because in either instance the gravitational force is only a small part of the force experienced from the ball (the ball would travel further on the Moon because of the lesser acceleration of gravity but the rebound from the bat would be the same).

For a solidly hit ball the y component of the frictional force exerted by the bat is also typically much less than the normal force.

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23:25:14

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

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RESPONSE -->

Air resistance would tend to slow the ball down.

Gravity would act to make the ball go downward.

Both would make the ball go toward the ground.

The ball doesn't go downward or toward the ground until it has stopped rising; it would be correct to say that the vertical acceleration of the ball would be downward or toward the ground.

Air resistance would help keep the ball from going further in the x direction.

Gravity would decrease it's height in the y direction.

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23:29:12

** 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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RESPONSE -->

The force of air resistance will oppose the motion of the ball.

If the ball is rising, the y component of the air resistance will counteract if and be in the downward direction. This will reinforce the gravitational force that wants the ball to go downward. This would give a net downward y component slightly exceeding that of gravity.

If the ball is rising, the y component of the air resistance will be in the upward direction, against that of the gravitational force. This would cause the y component to be slightly less than that of gravity.

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23:29:17

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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23:29:21

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 good. See my notes. Let me know if you have any questions. &#