Answer:
W = 62.7 J
a = 0.26 m/s²
Explanation:
Work (W) is defined as the product of force( F) by the distance (d) the body travels due to this force.
W= F*d Formula ( 1)
The work is positive (W+) if the force has the same direction of movement of the object.
The work is negative (W-) if the force has the opposite direction of the movement of the object.
The component of the force that performs work must be parallel to the displacement.
Data
F = 11 N
d = 5.7 m
Work done by Zak on the sofa
We apply the Formula ( 1)
:
W = (11 N )* (5.7 m)
W = 62.7 J
Average acceleration of the sofa
We apply Newton's second law to the sofa :
∑F = m*a Formula (2)
∑F : algebraic sum of the forces acting on the sofa (N)
m : mass (kg)
a : acceleration (m/s²)
Data : m= 42.3 kg , F= 11 N
We replace Data in the formula (2)
F = m*a
11 = (42.3)*a
a = (11) / (42.3)
a = 0.26 m/s²
a) PE=mgh=0.2*9.8*1.2=2.352 J
b) KE=PE=2.352 J
c) m/s
Im assuming this is a simple pendulum question.
Under no friction loss that means that we are not loosing any kinetic energy due to any friction between the string that is suspending the system, or wind resistance.
Under no friction loss the total mechanical energy is conserved. Meaning that the maximum amount of gravitational potential energy will be equal to the maximum kinetic energy of the pendulum.
The maximum kinetic energy will occur at the bottom of a pendulums motion, meaning that as the pendulum swings back and forth the place at which it makes a ninety degree angle relative to the surface of the ground or surface of whatever the pendulum is hanging under.
The maximum potential energy will be present when the pendulum ascends on either side at its maximum height, being at the two ends of the pendulums motion.
So:
ME is conserved under no friction meaning that
KEmax = PEmax
or
Hopefully this helps, I believe this is also an example of simple harmonic motion as well if thats what you are looking for!
Answer:
x-Speed/velocity
y-time.
Explanation:
because Speed is a rate of change of distance while time how long it takes a a car to move to a specific point
Answer:
13.9
Explanation:
Apparent weight is the normal force. Sum of the forces on the alloy when it is submerged:
∑F = ma
N + B − W = 0
N + ρVg − mg = 0
6.6 + (0.78 × 1000) V (9.8) − (0.750) (9.8) = 0
V = 9.81×10⁻⁵
If x is the volume of the first material, and y is the volume of the second material, then:
x + y = 9.81×10⁻⁵
(7.87×1000) x + (4.50×1000) y = 0.750
Two equations, two variables. Solve with substitution:
7870 (9.81×10⁻⁵ − y) + 4500 y = 0.750
0.772 − 7870 y + 4500 y = 0.750
0.0222 = 3370 y
y = 6.58×10⁻⁶
x = 9.15×10⁻⁵
The ratio of the volumes is:
x/y = 13.9