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Work- W= Fd

The action is done on an object that displaces the object

-Work can be scalar; negative or positive

anticipate how fast an object will travel, how high it will go, and how far it will slide. The video tutorials below cover a wide range of work and energy applications in the study of physical circumstances.

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Inclined planes are ramps; they are flat and support a surface that is inclined at an angle, with one side higher than the other. They're used to get a mechanical advantage by reducing the amount of force required to lift an object to a specific height.

Johnny stays at the bottom of the driveway and cakes a soccer ball. The ball rolls more up the driveway and then rolls back to Johnny. Which one of the following velocity-time graphs most accurately portrays the motion of the ball as it rolls up the driveway and backs down?

Answer- A Negative linear graph would best describe the motion of the ball

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Newton's 1st Law:

Law of motion; Unless acted upon by an imbalanced force, an object at rest stays at rest and an object in motion stays in motion at the same speed and in the same direction.

For example, placing a ball in a box and slowly pushing the box. abruptly stopping the box, will keep the ball moving according to Newton's 1st law.

Newton's 2nd Law:

The acceleration of an object depends on the mass of the object and the amount of force applied

For example, when riding a bicycle, the bike is the mass and your legs pushing the pedals is the force.

Newton's 3rd Law:

This law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.

For example, a fish uses its fines to push water backward. The push on the water will serve to accelerate the water. Resulting of mutual interactions, the water has to also push the fish forward, causing this fish to move through the water.

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Free body diagrams depict the relative magnitude and direction of all forces operating on an object in a given condition. A free body diagram shows the vector diagrams described in a previous unit. Free diagrams are important because it is important when solving mechanics problems because it helps visually see all the forces acting on an object. The net external force acting on the object must be obtained in order to apply Newton's Second Law to the motion of object.

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The motion of a shielded object thrown into the air is known as projectile motion. After the initial force that propels the object into the air, it is only subjected to the pull of gravity. The object is known as a projectile, and the course it takes is known as a trajectory. Projectile motion is important because it emphasizes the constant acceleration

Word Problem-

A pool ball leaves a 0.60- meter high table with an initial horizontal velocity of 2.4 m/s. Predict the time required for the pool ball to fall to the ground and the horizontal distance between the table's edge and the ball's landing location.

(y= Viy . t + 0.5 . Ay . t^2)

-0.60m= 0m/s . t + 0.5 . (--9.8m/s/s) . t^2
-0.60m= (-4.9m/s/s) . t^2
0.122s^2= t^2
t= 0.350s

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A free-fall object in physic is an object that falls under the influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. For example, an object dropping from a height like a stone on the ground.

Kinematic Word Problem Example-

Grace Buss drops a pile of roof shingles from the top of a roof located 8.25 meters above the ground. What is the time required for the shingles to reach the ground?

known:
Vi= 0m/s
d= -8.52m
a= -9.8m/s^2
unknown:
t=?

the best equation for this word problem is

d= Vi x r + 1/2 x a x t^2

-8.52m= (0m/s)(t) +1/2 (-9.8m/s^2)(t)^2
-8.52m= (0m) (t)+ (-4.9m/s^2) (t)^2
-8.52m= (-4.9m/s^2)= (t)^2
_(-*.52m)/ (-4.9m/s^2)= t^2
1.739s^2= t^2
t= 1.32s

Kinematic Word Problem Example -

Rex Things throws his mother's crystal vase vertically upwards with an initial velocity of 26.2m/s. Determine the height to which the vase will rise above its initial height.

the best equation for this problem:

Vf^2= Vi+ (2)(a)(d)

(0m/s)^2=26.2m/s)^2 +(2)(-9.8m/s)(d)
(-19.6m/s^2)(d)= 0m^2/s^2-686.44m^2/s^2
(-19.6m/s^2)(d)=-686.44m^2/s^2
d= (-686.44m^2/s^2)/ (-19.6m/s^2)
d= 35.0 m

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Motion Graphs- The object is moving at a constant speed, as indicated by a horizontal line. A straight diagonal line indicates that the velocity of the item.

The position, speed, direction, and acceleration of an object define its motion. An object moves if its position relative to a fixed point is changing. Even what appears to be stationary moves. The motion requires force to cause change. The time you take to travel the distance depends upon speed; the distance traveled is measured as the length of a line between the start and end of a motion.

An airplane accelerates down a runway at 3.20 m/s^2 for 32.8s until it finally lefts off the ground. Determine the motion traveled before taking off.

known- a= 3.2 m/s ^2, t= 32.8s, Vi= 0m/s
unknown- d?

d= (0m/s)(32.8s)+ 0.5 (3.20m/s^2)(32.8s)^2
d= 1720m

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The rate at which velocity changes with time, both in terms of speed and direction, is known as acceleration. If a point or an object moves in a straight line faster or slower, it is said to be accelerated. The change in the velocity vector in a time interval divided by the time interval is defined as acceleration.

Accerlation Word Problem-

A sprinter goes from a speed of 10 m/h to 15 m/h in 2 seconds. What is the acceleration of the sprinter?

Formula- Acceleration= change in velocity/ time inverval

acceleration = 15- 10/ 2

acceleration = 2.5 m/h.s

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Speed is the pace at which an object moves along a path in terms of time, whereas velocity is the rate and direction of movement. The difference between speed and velocity is that speed is a scalar while velocity is a vector. By dividing the change in position by the change in time, the average velocity is computed. An object's speed tells you how fast it is going. Its velocity indicates how quickly it is moving in a specific direction. In life, speed measurements are useful, but in physics, velocity measurements are used more frequently in physicist work.

Speed Word Problem-

It takes a fast swimmer about 25 seconds to complete a 50 meters freestyle. What is the speed of the swimmer?

Formula- speed= d/t

speed= 50m/ 20s= 2 m/s.

Speed and Velocity example is saying a dog runs at 9 km/ h is a speed. by saying he runs 9 km/h westward is its velocity.

Velocity Word problem-
Mike bikes 800m to the left in 25s

formula- m/s

800/25= 32 m/s

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Distance is a scalar quantity that refers to how much ground an object has covered during its motion. A displacement is a vector number that describes how far an object has moved out of place; it is the object's overall position change. Because distance is a vector quantity, it must be utilized to calculate average velocity, which is also a vector quantity. The entire displacement of an object over a period of time is known as average velocity.

Distance Word Problem-

It takes a fast swimmer about 25 seconds to complete a 50 meters freestyle. What is the speed of the swimmer?

Formula- speed= d/t

speed= 50m/ 20s= 2 m/s.

Example of distance- The total length of the path traveled between two positions. Distance has no direction, meaning no sign. For example, the distance the professor walks in 2.0 meters. The distance the airplane passenger walks is 4.0 meters.

Displacement example-

If a car travels east for 5 km and takes a turn to travel north for another 8 km, the total distance can never be zero or negative and it is always more than the displacement of the object.

Displacement Word Problem-

A car travels along a straight road 100 m east then 50 m west. Find the displacement of the car.

Displacement is 100 m- 50 m= 50 m/e

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Unit Conversions-  Multiplication or division by a numerical Factor, selection of the correct number of significant digits, and rounding are all part of the unit conversion method. A unit conversion purpose is to express the same feature in a different measurement unit. Time, for example, can be expressed in minutes rather than hours, and distance can be translated from miles to kilometers, feet, or any other unit of measurement.

Word Problems-
1. A weightlifter can lift 495 lbs. How many Kg is that?

known- 1kg= 2.2 lbs

495lbs(1kg/2.2lbs)---->(495.1/2.2)= 225kg

2. A certain car has a mass of 1920 kg. How many tons is that?

known- 1kg = 2.2 and 1 ton= 2000lbs

1920kg(2.2lbs/1kg)(1920 x 2.2/1)= 4224lbs.

4224lbs(1ton/2000lbs)(4224 x1/2000)=2.11 tons

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Scalars are quantities that are fully described by a magnitude alone. Vectors are quantities that are fully described by both a magnitude and a direction. Both scalar quantities and vector quantities express certain physical quantities. They are both measurable and quantifiable and can be expressed as a numerical magnitude with a corresponding unit of measurement.

Scalar examples-

volume, density, speed, energy, mass, and time.

Scalar Word Problem:
In order for the work to proceed, the cable must be moved 2 meters closer to the pole . If the pool is 10 meters tall, the cable is currently fastened to the ground 8 meters from the pole, how much will the workers need to cut you off from the cable when they move it?

- the original cable length is 12.8 meters
by moving the cable to meters closer to the pole, we shortened the overall length of the cable to 11.7. Meaning 1.1 meters must be cut off the cable.

Vector examples-

force, velocity, acceleration, displacement, and momentum

Vector Word Problem:

A boat travels due west with a speed of 30 mph. If there is a 7mph current at N 30 degrees west, find the actual speed and direction of the boat.

<30 cos 180 degrees, 30 sin 180 degrees>
<7cos 120 degrees; >7 sin 120 degrees>
<- 33.5, 6.06>
= the square root of (-33.5)^2 + (6.06)^2
34.04 mph

tan theta= 6.06/ -33.5
theta= -10.25 degrees
180- 10.25= 169.75 degrees theta.