The acceleration of the mass sliding along the horizontal surface is 5.2 m/s².
The given parameters;
mass of the crate, m = 45 kgangle, = 45 degreescoefficient of kinetic friction, = 0.25The acceleration of the mass is calculated by determining the net force on the mass as shown below;
[tex]\Sigma F_{net} = ma\\\\Wsin\theta - F_k = ma\\\\mg sin\theta - \mu_k F_n = ma\\\\mg sin\theta - \mu_k mg\ cos\theta = ma\\\\g sin\theta - \mu_k g\ cos\theta = a\\\\g(sin\theta - \mu_k \ cos\theta ) = a\\\\9.8(sin\ 45 \ - \ 0.25\times cos \ 45) = a\\\\9.8(0.53) = a\\\\5.2 \ m/s^2 = a[/tex]
Thus, the acceleration of the mass sliding along the horizontal surface is 5.2 m/s².
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What is the approximate value of log⁵³ 217895.4
Answer:
3.09594
Explanation:
hope this helps
The weight of a 1,000 kg car is ______________ (pick best answer)
Group of answer choices
9800 N
102.4 N
1000 N
10000 N
What is the weight of a car with the mass of 1000 kg?
Answer: it is 9800 N.
A ball is dropped from a 20.0 m high tower.
a. How long will it take the ball to reach the ground?
b. What is the velocity of the ball just before it hits the ground?
Hi there!
We can begin by using the derived kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}[/tex]
Plug in the given values and let g = 9.8 m/s²:
[tex]t = \sqrt{\frac{2(20)}{g}} = \boxed{2.02 s}[/tex]
Now, we can solve for its final velocity using the equation:
[tex]v_f = v_i + at[/tex]
It is dropped from rest, so vi = 0 m/s.
[tex]v_f = at[/tex]
[tex]v_f = 9.8(2.02) = \boxed{19.796 m/s}[/tex]
Answer:
a. The ball would reach the ground in approximately [tex]2.02\; \rm s[/tex].
b. The velocity of the ball right before landing would be approximately [tex]19.8\; \rm m\cdot s^{-1}[/tex].
(Assumptions: the ball was dropped with no initial velocity; air resistance on the ball is negligible; [tex]g = 9.81\; \rm m\cdot s^{-2}[/tex].)
Explanation:
Under these assumptions, the acceleration of this ball would be constantly [tex]a = g = 9.81\; \rm m\cdot s^{-2}[/tex] (same as the gravitational field strength) during the descent.
Displacement of the ball: [tex]x = 20.0\; \rm m[/tex].
Initial velocity of the ball: [tex]v_{0} = 0\; \rm m\cdot s^{-1}[/tex].
Let [tex]t[/tex] denote the duration of this descent.
The SUVAT equation [tex]x = (1/2)\, a\, t^{2} + v_{0}\, t[/tex] relates the known quantities [tex]a[/tex], [tex]x[/tex], and [tex]v_{0}[/tex] to the unknown [tex]t[/tex].
Substitute the known quantities into this equation and solve to find the value of [tex]t\![/tex]:
[tex]\displaystyle 20.0\; {\rm m} = \frac{1}{2}\times 9.81\; {\rm m\cdot s^{-2}} \times t^{2} + 0\; {\rm m \cdot s^{-1}} \times t[/tex].
[tex]\displaystyle 20.0\; {\rm m} = \frac{1}{2}\times 9.81\; {\rm m\cdot s^{-2}} \times t^{2}[/tex].
[tex]\displaystyle t^{2} = \frac{20.0\; \rm m}{(1/2) \times 9.81\; \rm m\cdot s^{-2}}[/tex].
Since [tex]t > 0[/tex]:
[tex]\begin{aligned}t &= \sqrt{\frac{20.0\; \rm m}{(1/2) \times 9.81\; \rm m\cdot s^{-2}}} \\ &\approx 2.01928\; \rm s\\ &\approx 2.02\; \rm s \\ & (\text{Rounded to 2 sig. fig.})\end{aligned}[/tex].
Since the acceleration of this ball is constant, the velocity of the ball right before landing would be:
[tex]\begin{aligned}v_{1} &= a\, t \\ &\approx 9.81\; \rm m\cdot s^{-2} \times 2.01928\; \rm s \\ &\approx 19.8\; \rm m \cdot s^{-1} \end{aligned}[/tex].
Noah runs 200 m to the east and then 400 m north. What is Noah's distance and displacement?
Answer:
Noah has run 600 metres north east
LED lightbulbs are the most energy efficient way to light your home, as they use _____ of the energy of a comparable compact fluorescent bulb.
Light - emitting diode lightbulbs known as LED lightbulbs are energy saving lightbulbs. They consume very small amount of energy compare to other lightbulbs. Therefore, LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.
There are varieties of different light bulbs. some of them are incandescent, compact fluorescent (CFL), halogen, and light-emitting diode (LED) to mention a few.
Before the advent of light - emitting diode (LED) bulbs, some of the bulbs consume a lot of energy. For instance, we have incandescent bulbs of 20 watts, 50 watts, 100 watts and even 200 watts.
But with the advent of light - emitting diode (LED) bulbs, consumers can save energy because light - emitting diode (LED) bulbs save a lot of energy and they are very bright.
We can therefore conclude that light - emitting diode lightbulbs known as LED lightbulbs are the most energy efficient way to light your home, as they use about ten percent (10%) of the energy of a comparable compact fluorescent bulb.
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A bowling ball and a ping-pong ball are each tied to a string and hung from the ceiling. The distance from the ceiling to the CM of each object is the same. Which object would have a longer period of motion if they were set swinging
Density of water is-
Answer:
The density of water is around 997 kg/m³ of 1 gran per millilimeter
a person with a mass of 15 kg is walking downhill at a velocity of 10 ms what is the Walkers momentum
Answer:
[tex]150 kg\cdot m/s[/tex]
Explanation:
Same as if he was walking uphill, or horizontally. Momentum is defined as the product of mass times velocity. [tex]p = mv = 15\cdot 10 = 150 kg\cdot m/s[/tex]
Two illustrations labeled A and B. In Illustration A a hand is pushing on a mass labeled m that is connected to a spring and the spring is connected to a wall. In illustration B the spring is back to its normal length and the mass is moving away from the end of the spring at a velocity v. The position where the block started from is labeled x = 0. A spring attached to a mass is at rest in the initial position (not shown). The spring is compressed in position A and is then released, as shown in position B. Which equation describes conservation of energy in position A?
Answer:
The answer is (C) E= 1/2 kx^2
Explanation:
Answer:
ITS C JUST FINISH
Explanation:
What torque will increase angular velocity of a solid cylinder of mass 16 kg and diameter 1 m from zero to 120 rpm in 8 s?
a)π/4Nm
b)π/2Nm
c)π/3Nm
d)πNm
What average force magnitude is required to stop a 15,000 kg train in 12.1 s if the train is traveling at 86 km/hr
Answer:
Explanation:
Givens
m = 15000 kg
t = 12.1 seconds
vi = 86 km / hr
vf =0
Formula
F = m*a
a = (vf - vi)/ t
vi has to be converted to m/s
86 km/hr [1000 m / 1 km] * [1 hour / 3600 seconds]
86 * 1000 / 3600 = 23.89 m/s
Solution
a = (vf - vi) / t
a = (0 - 23.89)/12.1
a = - 1.97 m/s^2 The minus means that the trains is slowing down.
F = 15000 kg * - 1.97 m/s^2
F = -29615.7 Newtons.
What is the acceleration of a 20 kg backpack lifted with a force of 15 N?
a. 0.75 m/s2
b. 1.33 m/s2
c. 300 m/s2
d. 5 m/s2
The answer is option A. 0.75 m/s^2
the formula needed to solve this is acceleration = force/mass
we know the following:
mass of the backpack = 20KG
the force is 15N
therefor- acceleration = 15/20
which can also be written as 3/4, leaving us with the final answer of .75 m/s^2
Answer:
0.75 m/s2
Explanation:
0.75 m/s2
i have science map and i dont know what ro answer please help me asap
Answer:
C
Explanation:
The correct answer is C because it puts equivalent measurements in the equivalent cup size. Both cups in answer C are the same measurement: 200 mL. The water in both cups is also the same measurement: 100 mL of 70 degrees Celsius. This is important because equivalent measurements for everything mean the experiment will be fair, equal, and accurate. If the measurements were not equal to each other, your experiment would not be as accurate.
A force acts on an object. Which option describes an action that could prevent the object from moving
Answer:
Friction or tension
Explanation:
Friction stops an object from moving in the presence of force
2. A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from
the same position 3 seconds later. How high above the ground is the water bottle, when the
bowling ball has a speed of 64 m/s? *
(2 Points)
A bowling ball is dropped off a 300 meter high bridge. A water bottle is dropped from the same position 3 seconds later. the ground is the water bottle, when the bowling ball has a speed of 64 m/s is zero.
what is speed ?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula of speed is represented as s=d/t, Where, s is the speed in m.s-1, d is the distance traveled in m, t is the time taken in s
There are four types of speed such as Uniform speed, Variable speed, Average speed, Instantaneous speed
Uniform speed is an uniform speed when the object covers equal distance at equal time intervals, variable speed is defined as when the object covers a different distance at equal intervals of times.
Average speed is defined as the uniform speed the ratio of total distance travelled by an object to the total time taken by the object.
Instantaneous speed is defined as an object is moving with variable speed, then the speed at any instant of time is known as instantaneous speed.
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anybody know the answer??
Answer:
Centimeter
Explanation:
We know the measurement is defined as:
1 meter= 100cm
1 cm= 1/100 meter
1 centimeter= 0.01 meter
Therefore, 0.01 meter is equal to 1 cm or 1 centimeter.
what is the average power supplied by a 60.0 kg person running up a flight of stairs a vertical distance of 4.0 in 4.2s
Hi there!
We know that:
[tex]P = \frac{W}{t}\\\\[/tex]
Where:
W = Work done (J)
t = time (s)
We can calculate the work using the equation:
[tex]W = \Delta U = mg\Delta h[/tex]
Plug in the given values:
[tex]W = 60(9.8)(4) = 2352J[/tex]
Now, divide by time:
[tex]P = \frac{W}{t} = \frac{2352}{4.2} = \boxed{560W \text{ (Watts)}}[/tex]
Một oto đang chuyển động thẳng đều với vận tốc 36km/h thì hãm phanh sau 20s thì ô tô dừng lại quãng đường oto đi được là
help with this question
Answer:
D and B.
Explanation:
The wavelength must be taken from the same corresponding point. D and B are both at the crests of a wave, with no other crests in between, which means the distance between them is equal to one wavelength.
test questions!!!!!!!!
Answer:
B. surface wave
Please slove this i need answer fast
Answer:
I am not quite sure....
Explanation:
Explanation:
basically i, say the answer is w
A concave mirror has a centre of curvature of 24.0 cm. An object 2.5 cm tall is placed 40.0 cm in front of the mirror.
a) At what distance from the mirror will the image be formed?
b) What is the height of the image?
Answer:
Object distance should be 48
Explanation:
in pic
_____________________________
(hope this helps can I pls have brainlist (crown)☺️)
how do astronomers determine the origin of a meteorite that reaches earth?
Researchers begin their study by identifying the rock type and then dating the meteorite
Explanation:
.
where does most star formation occur in the milky way galaxy?
Answer:
Star formation occurs most rapidly in the spiral arms, where the density of interstellar matter is highest.
How do you solve problems involving acceleration
Answer:
Velocity/time =acceleration
Acceleration x time = velocity
Velocity/acceleration=time
what is cleaning agent
Answer:
Cleaning agents or hard-surface cleaners are substances used to remove dirt, including dust, stains, bad smells, and clutter on surfaces. Purposes of cleaning agents include health, beauty, removing offensive odor, and avoiding the spread of dirt and contaminants to oneself and others.
Answer:
Cleaning agents are substances created for the purpose of cleaning surfaces from germs dirt fungus diseases etcetera.
Explanation:
Cho mạch điện gồm ba điện trở mắc nối tiếp nhau. Biết R 1 = 8Ω, R 2 = 12Ω, R 3 = 4Ω. Hiệu điện thế giữa hai đầu đoạn mạch U = 48V. Tính hiệu điện thế giữa hai đầu mỗi điện trở.
56gq2391$/= 343568
hope u understand me
To minimize signal distortion, at each end of the J-1939 CAN-bus there is a(n)_____________resistor.
Can you please draw circuit diagram with 5 Ω resistor in series with bulb, switch and 12 V battery?
Answer:
Sorry for the bad drawing, as you have not specified whether is should be open switch or close I have drawn both
I hope it helps.
An amateur astronomer has just discovered a dwarf planet in an orbit past Pluto. Choose the best unit of measure to describe how far out in the solar system it is from the Sun.