Answer:
380 to 700 nanometers.
Explanation:
Find the direction of this vector.
80.0°
B-18.6 m
0 = [?]°
Hint: Remember, 0 is the direction of the
vector and is measured from the +x-axis.
The direction of the given vector B of 18.6 m that is 80° left of the positive y-axis is 170°
Angle of the vector made with positive y-axis = 80°
Angle between positive x and y axis = 90°
Direction of B, θ = 90° + 80°
θ = 170°
Direction of a vector is the angle of the vector that is made with positive x-axis. A vector with a certain direction of certain degrees means that the vector is rotated that much degrees in counter-clockwise direction relative to positive x-axis.
Therefore, the direction of the vector B is 170°
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A tennis ball is dropped from 1.67 m above the ground. It rebounds to a height of 0.898 m. With what velocity does it hit the ground? The acceleration of gravity is 9.8 m/s2 . (Let down be negative.) Answer in units of m/s.
Velocity of the ball by which it hits the ground is 5.721 m/s.
Height from which the ball has been thrown, s = 1.67m
Acceleration due to gravity, g = 9.81 m/s²
Since, velocity of the ball hitting the ground is being asked, rebound height can be ignored.
So according to the Third Equation of Motion which relates velocity, displacement and acceleration, we can find the velocity of the ball,
[tex]v^{2} = u^{2} + 2as[/tex]
u = initial velocity of the ball = 0 m/s
v² = 0 +2*(-9.8)*(-1.67)
v² = 32.732 m/s
[tex]v = \sqrt{32.732}[/tex] m/s
v = -5.721 m/s
Square root of velocity (v) will give two values, one as positive and the other as negative, and here negative value is considered because the velocity is towards the ground and downwards is taken here as negative.
Therefore the velocity of the ball hitting the ground will be 5.721 m/s.
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During a collision with a wall, the velocity of a ball mass 0.170kg changes from v1 = 23.1m/s toward the wall to v2 = 17.1m/s away from the wall. If the time the ball was in contact with the wall was t =0.0651s ,what was the magnitude of the average force applied to the ball?
The magnitude of the average force applied to the ball is 104.98 N
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
But
Impulse = force × time
Therefore
Force × time = final moment – Initial momentum
Ft = m(v - u)
How to determine the forceMass (m) = 0.170 KgInitial velocity = 23.1 m/sFinal velocity = 17.1 m/sTime = 0.0651 sForce = ?Ft = m(v + u) (rebound )
Divide both sides by t
F = m(v + u) / t
F = [0.17 × (17.1 + 23.1)] / 0.0651
F = [0.17 × 40.2] / 0.0651
F = 6.834 / 0.0651
F = 104.98 N
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an upward force of 170 N IS APPLIED TO A BOX WEIGHING 50 N DRAW A FREEBODY FORCE DIAGRAM FOR THIS SITUATION
A free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.
What is free body diagram?A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.
The forces on the box;
applied force, acting forward, F = 170 Nweight of the box, acting downwards, W = 50 Nnormal reaction of the box acting upwards, R = W = 50 NThe free body diagram of the forces acting on the box is illustrated as follows;
↑ R
F → Ф
↓ W
Thus, a free body diagram of the box consists of weight of the box (50N) acting downwards, normal reaction acting upwards and applied force acting in x-direction.
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Two objects are held close together. When they are released, they move toward one another. Which conclusion is
supported by this evidence?
Answer:
They are attracted to each other. Maybe a magnet. Like 99% sure.
Explanation:
Objects that are usually attracted to each other are magnets. When you release two magnets close to each other, with each pole opposite to the other, they move toward each other and stick. You can only take them apart by force.
What is the volume of a rock with a density of 45 g/mL and a mass of 855 g?
The volume of a rock with a density of 45 g/mL and a mass of 855g is 19mL.
How to calculate volume?The volume of a gas can be calculated by dividing the mass of the substance by its density as follows:
Volume = mass ÷ density
According to this question, a rock has a density of 45 g/mL and a mass of 855g. The volume can be calculated as follows:
Volume = 855g ÷ 45g/mL
Volume = 19mL
Therefore, the volume of a rock with a density of 45 g/mL and a mass of 855g is 19mL.
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If each wafer can hold 400 chips, what is the maximum number of chips that can be produced from one entire cylinder?
The maximum number of chips is 33,333
What is a chip?
A chip is a tiny but complex modules that store computer memory or provide logic circuitry for microprocessors.
We need to find the number of wafers that can be cut from a single crystal.
The crystal is 25cm and each wafer is 0.3mm. We perform division to get the number of wafers per crystal after getting everything into the same units. 25cm=250mm.
250mm/0.3mm=833.3333 wafers.
Each wafer yields 400 chips so we multiply 400 chips per wafer by 833.33 wafers to get 33,333 chips.
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A runner of mass 58.7 kg starts from rest and accelerates with a constant acceleration of 1.07 m/s2 until she reaches a velocity of 7.5 m/s. She then continues running with this constant velocity.
a) How far has she run after 53.3 seconds?
b) What is the velocity of the runner at this point?
A. The distance travelled after 53.3 seconds is 1919.63 m
B. The velocity of the runner ath the given time is 64.53 m/s
A. How to determine the distance travelled after 53.3 secondsThe distance travelled can be obtained as follow:
Initial velocity (u) = 7.5 m/sAcceleration (a) = 1.07 m/s² Time (t) = 53.3 secondsDistance (s) =?s = ut + ½at²
s = (7.5 × 53.3) + (½ × 1.07 × 53.3²)
s = 399.75 + (0.535 × 2840.98)
s = 399.75 + 1519.87615
s = 1919.63 m
Thus, the distance travelled in 53.3 seconds is 1919.63 m
B. How to determine the velocityInitial velocity (u) = 7.5 m/sAcceleration (a) = 1.07 m/s² Time (t) = 53.3 secondsFinal velocity (v) =?v = u + at
v = 7.5 + (1.07 × 53.3)
v = 7.5 + 57.031
v = 64.53 m/s
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A series of ocean waves, 5.0 m between crests, move past at 2.0 waves/s. Find their speed.
Answer:
10 m/s
Explanation:
Speed = wavelength * frequency
= 5 m * 2 / s = 10 m/s
Evaporation takes place at the surface of a liquid , use particle model of matter to explain evaporation?
Explanation:
These "more energetic particles" may have
sufficient energy to escape from the surface
of the liquid as gas or vapour.... Evaporation
takes place at room temperature which is
often well below the boiling point of the
liquid. Evaporation happens from the surface
of the liquid.
If the fuse in one of the houses can withstand a maximum current of 5 A at potential difference of 110 V, The maximum number of lamps that can be lighted at the same time without blow up of the fuse......
lamps
The maximum number of lamps that can be lighted at the same time without blow up of the fuse is 11.
The rate of performing labor is referred to as power. The amount of work (W) to the amount of time (T) is the ratio (t). Power(P)=Time(t) Work(W) In honor of physicist James Watt, the SI system of units uses the symbol W for power. Electric charge passes past a point in a circuit at a constant pace known as current. The rate at which an electric charge flows is defined as current. The potential difference in charge between two sites in an electrical field is known as voltage, also known as electromotive force.
Power= V*I
=110 *5
=550 watt
no. of lamps= 550/5
=11 lamps.
The maximum number of lamps that can be lighted at the same time without blow up of the fuse is 11.
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Explain why it’s much colder at the bottom of the pool than at the top. also describe what heat transfer processes is taking place
Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.
Why is it colder at the bottom of the pool than the top of the pool?
There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;
Heat transfer by radiationHeat transfer by convection Heat transfer by radiationThe surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.
Heat transfer by convectionThe heat from the air is transferred to the pool through convection.
Thus, these two heat transfer processes causes the surface water of the pool to be warm which decreases with depth.
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a boat whose speed in still water is 1.80 m/s must cross a 285 wide river
The speed of the river current with respect to the boat is(Vₙ)= 1.036 m/s.
What is speed?Speed is a scalar quantity. Speed is a way of measuring how quickly something is moving or being done, or something moving fast.
How can we calculate the values of the speed of the river?To calculate the values of the speed of the river, we are using the formula,
v=1.768-Vₙ
The given parameters;
boat's speed , vₐ= 2.5 m/s
the river's width, w = 285 m
upstream distance , d = 118 m
the pilot's direction, θ = 45⁰
We know the velocity has the vertical and horizontal component, so we can calculate this ;
v(x)=vₐsinθ=2.5*sin45°=1.768m/s
v(y)=vₐcosθ=2.5*cos45°=1.768m/s
To calculate the time taken for the boat is ;
t=w/v(y)
Or, t=285/1.768
Or, t = 161.25 s
To calculate the total horizontal velocity of the boat and the river; we are using the formula,
v=1.768-Vₙ
Or,1.768-Vₙ=d/t
Or, 1.768-Vₙ=118/161.2
Or, 1.768-Vₙ=0.732
Or, Vₙ=1.036m/s
From the above calculation we can conclude that,
The speed of the river current with respect to the boat is 1.036 m/s.
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Note: The question is incomplete in the portal. Here is the total question,
Question: A boat, whose speed in still water is 2.50 m/s, must cross a 285-m wide river and arrive at a point 118m upstream from where it starts. To do so, the pilot must head the boat at a 45.0 degrees upstream angle. What is the speed of the rivers current?