A ball is projected horizontally from the top of a cliff. At the same moment, a second identical ball is dropped from rest from
1 answer:
Answer:3
Explanation:
First ball is thrown with horizontal velocity while other ball is dropped from cliff such that both have zero vertical velocity. So both balls have to cover a distance equal to the height of cliff with same initial velocity.
time taken is given by
where h=height of cliff
g=acceleration due to gravity
horizontal velocity to first ball will make the ball to travel more horizontal distance as compared to second ball.
Option 3 is correct
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Answer:
46.22 cm
Explanation:
The focal refraction, fr is given by
The focal red light is given by
and making fr the subject we obtain
fv = 0.945455* 16.70886 cm = 15.79747 cm
Therefore, violet image is approximately 46.22 cm
Answer:
k = 6,547 N / m
Explanation:
This laboratory experiment is a simple harmonic motion experiment, where the angular velocity of the oscillation is
w = √ (k / m)
angular velocity and rel period are related
w = 2π / T
substitution
T = 2π √(m / K)
in Experimental measurements give us the following data
m (g) A (cm) t (s) T (s)
100 6.5 7.8 0.78
150 5.5 9.8 0.98
200 6.0 10.9 1.09
250 3.5 12.4 1.24
we look for the period that is the time it takes to give a series of oscillations, the results are in the last column
T = t / 10
To find the spring constant we linearize the equation
T² = (4π²/K) m
therefore we see that if we make a graph of T² against the mass, we obtain a line, whose slope is
m ’= 4π² / k
where m’ is the slope
k = 4π² / m'
the equation of the line of the attached graph is
T² = 0.00603 m + 0.0183
therefore the slope
m ’= 0.00603 s²/g
we calculate
k = 4 π² / 0.00603
k = 6547 g / s²
we reduce the mass to the SI system
k = 6547 g / s² (1kg / 1000 g)
k = 6,547 kg / s² =
k = 6,547 N / m
let's reduce the uniqueness
[N / m] = [(kg m / s²) m] = [kg / s²]
Answer:
25.5 m/s
Explanation:
The Doppler effect occurs when there is relative motion between a source of a wave and an observer. In such situation, there is a shift in the apparent frequency of the wave perceived by the observer.
The formula that gives the apparent frequency perceived by the observer is:
where
f is the real frequency of the wave
f' is the apparent frequency of the wave
v is the speed of the wave
is the velocity of the source (negative if the source is moving towards the observer, positive otherwise)
is the velocity of the observer (positive if the observer is moving towards the source, negative otherwise)
In this problem:
v = 340 m/s is the speed of sound
f = 800 Hz is the frequency of the horn
f' = 860 Hz is the apparent frequency
(the observer is at rest)
Re-arranging the equation for , we can find the velocity of the horn and the driver:
So, 25.5 m/s towards the observer.