1. Double swing The vector k and a in the figure has a magnitude of 10.0 [m='] and 5.00 [m], respectively. The vector k makes an angle of 35.0° with respect to the y- axis while the vector makes an angle of 15.0° with respect to the x-axis. What is the scalar product, k.7? А. 38.3 y 15.0° i 5.00 [m] 35.0° В. 32.1 k\10.0 [m-1] С. 48.3 D. 41.0
Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
![1. Double swing The vector
and a in the figure has a
y
magnitude of 10.0 [m-1] and 5.00 [m], respectively. The
makes an angle of 35.0° with respect to the y-
) 15.0°
vector
axis while the vector a makes an angle of 15.0° with
respect to the x-axis. What is the scalar product, k · ?
А. 38.3
* 5.00 [m]
35.0°
В. 32.1
k\10.0 [m-1]
С. 48.3
D. 41.0
2. Film project. You and your friend are pushing a box of lighting equipment moving it
7.50 m on a straight line in the x-direction on a frictionless surface. Each of you exerts a
constant force of 1500 [N] however you push at an angle 15.0° while your friend pushes at
an angle -20.0° both with respect to the x-direction. What is the total work done on the
lighting equipment?
A. 2.17 × 104 [N ·m]
C. 2.14 × 104 [N•m]
B. 2.11 x 104 [N ·m]
D. 2.86 × 10° [N ·m]
3. Pro Bartender. A bartender standing across you at a distance of 1.00 [m] slides a 180. [g]
bottle of beer in a straight line across a frictionless bar with a force of 0.0500 [N]. What is
the initial speed of the bottle if you caught it with a final speed of 0.900 [m/s]?
A. 0.812 [m/s]
B. 0.500 [m/s]
C. 0.254 [m/s]
D. 0.900 [m/s]
4. Football tayo Your friend kicks a football from the ground with mass 0.45 [kg] giving it an
initial velocity of 10 [m/s] and reaching a certain maximum height. You, being competitive,
give it a try and the ball reaches a maximum height that is twice your friend's shot. What
was the initial velocity that you gave to the football when you kicked it to reach such a
height?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3762da3-2171-40c2-98ae-dc7fa2a9a849%2F57b93019-252c-47b2-976d-b8372febcd15%2Fdr5czx3_processed.jpeg&w=3840&q=75)
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