A block of mass m 5.00 kg ispulled along a horizontal frictionless floor by a cord
that exerts a force of magnitude F 12.0 N at an angle
u 25.0°. (a) What is the magnitude of the
block’s acceleration? (b) The force magnitude F is
slowly increased. What is its value just before the
block is lifted (completely) off the floor? (c) What is
the magnitude of the block’s acceleration just before
it is lifted (completely) off the floor?
Answers
the force in the direction of movement
Fx = F x cosA*
Fx = 12 x cos25*
Fx = 10.88
m x a = 10.88
a = 10.88/5
a= 2.18 m/s^2
b.
when the block will be lifted off the floor and when the vertical component
Fy = mg
Fy = F x sin25*
Fy= 5 x 9.8
Fy= 115.94 N
c.
if Fx = ma
a = 115.94/5
a= 23.19 m/s^2
hope it helps
Final answer:
The magnitude of the block's acceleration is roughly 2.18 m/s². The force required just before the block is lifted off the floor is equal to the weight of the block, 49.05 N. Just before it is lifted, the block's acceleration is still due to the horizontal component of the force.
Explanation:
This problem involves physics concepts related to forces and acceleration of an object on a frictionless surface. The key to solving it involves understanding the relationship between mass, force, and acceleration (Newton's second law) and the concept of vertical and horizontal components of a force.
(a) The magnitude of the block's acceleration can be calculated using the horizontal component of the force (Fh = F cos θ) and Newton's second law (F = ma). So, a = Fh / m = (F cos θ) / m = (12.0 N cos 25) / 5.00 kg ≈ 2.18 m/s².
(b) The force F required to lift the block is equal to the weight of the block mg. Thus, F = m*g = 5.00 kg * 9.81 m/s² = 49.05 N.
(c) Just before the block is lifted off the floor, it is still in contact with the floor so the normal force is not zero. As such, there is no vertical acceleration, so the magnitude of the block's acceleration is still solely due to the horizontal component of F.
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A fertilizer or fertiliser is any material of natural or synthetic origin that is applied to soil or to plant tissues to supply one or more plant nutrients essential to the growth of plants. Many sources of fertilizer exist, both natural and industrially produced.
Explanation:
B. 22 Hz and 42 Hz
C. 47 Hz and 55 Hz
D. 18 Hz and 26 Hz
Answers
Answer:
B. 22 Hz and 42 Hz
Explanation:
The beat is an interference pattern which occurs when two waves of slightly different frequencies meet each other. The beat is heard as a periodic variation, whose frequency (called beat frequency) is equal to the absolute value of the difference between the frequencies of the individual waves:
In this problem, we are told that 20 beats per second are produced, so the beat frequency is
Therefore, we must find the two waves which have a difference in frequency equal to this value, 20 Hz. Let's see each choice:
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C. 47 Hz and 55 Hz --> --> NO
D. 18 Hz and 26 Hz --> --> NO
So, the correct choice is
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Show both the unrounded and rounded answer.
Answers
Answer:
3,240,000
Explanation:
72,000 times 45= 3,240,000
There is no rounded number unless u are dividing.
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Answers
Answer:
Explanation:
Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.
Kinetic energy is given by ½mv²
Potential energy is given by mgh
Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Equating kinetic energy to be equal to potential energy then
½mv²=mgh
V
Making v the subject of the formula
v=√(2gh)
Substituting 9.81 m/s² for g and 20 m for h then
v=√(2*9.81*20)=19.799 m/s
Rounding off, v is approximately 20 m/s
Answer:
19.8 m/s
Explanation:
During the motion of a pemdulum bob, it casually converts kinetic energy to potential energy and vice versa.
A pendulum bob reaches its maximum speed at a position closest to its equilibrium position and has its lowest when it is farthest from the equilibrium position.
The maximum speed of a pendulum bob based on the mass involved and the maximum displacement from the equilibrium position is obtained from
Maximum kinetic energy = Maximum potential energy
Maximum potential energy occurs at the farthest point from equilibrium, that is,
P.E(max) = mgh
Maximum kinetic energy = ½mv²
½mv² = mgh
v = √2gh
g = acceleration due to gravity = 9.8 m/s²
h = farthest height from equilibrium position = 20 m
v = √(2×9.8×20) = 19.8 m/s
Hope this Helps!!!
Answers
Answer:
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Explanation:
According to Newton we have that:
∑
A force is exerted by the elevator to the suitcase, according to 3th Newton's law an equal force but in the opposite direction will appeared on the suitcase, that is:
∑
We know that the pressure is given by: