Answers
Answer:
The average upward force exerted by the water is 988.2 N
Explanation:
Given;
mass of the diver, m = 60 kg
height of the board above the water, h = 10 m
time when her feet touched the water, t = 2.10 s
The final velocity of the diver, when she is under the influence of acceleration of free fall.
V² = U² + 2gh
where;
V is the final velocity
U is the initial velocity = 0
g is acceleration due gravity
h is the height of fall
V² = U² + 2gh
V² = 0 + 2 x 9.8 x 10
V² = 196
V = √196
V = 14 m/s
Acceleration of the diver during 2.10 s before her feet touched the water.
14 m/s is her initial velocity at this sage,
her final velocity at this stage is zero (0)
V = U + at
0 = 14 + 2.1(a)
2.1a = -14
a = -14 / 2.1
a = -6.67 m/s²
The average upward force exerted by the water;
Therefore, the average upward force exerted by the water is 988.2 N
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Answers
Answer:
109.5 million years
Explanation:
The question asked us to find the time.
Remember that
Rate of velocity = distance / time, and this,
time taken = distance/rate
Due to the confusing nature of the units, we would have to be converting them to a more uniform one.
1 km is equal to 9.461*10^12 km/light-year, that's if we try to convert km to light year.
Since the speed is in km, the distance has to be in km also, and therefore, we convert ly to km:
4.5 light-years = 9.461*10^12 km/light-year) = 42.57*10^13 km
We that this value as our distance, in km.
Also,
Time = distance/speed
Time = 45.57*10^13 km / 490 km/hr = 9.3*10^11 hr
Now the next step is to convert hours to years, using the conversion factor 8766 hr/yr.
time (in years) = 9.6*10^11 hr / 8766 hr/yr) = 10.95*10^7 years
the final step is to divide the time in years by 10^6 years/million years, which gives the final answer as the trip takes 109.5 million years.
Answers
Answer: wavelength =3.52m
Explanation:
,λ=c/μ
where c=speed of the light,λ=wave length, μ=frequncy
c=3x10^8m/s
And
μ=83.5/MHz =85.3x10^6Hz==85.3x10^6Hz=
=85.3x10^6s-1
λ=c/μ
=3x10^8m/s/85.3x10^6s-1
=3.51699883
=3.52m
Answers
Final answer:
To find the critical angle, we need to consider the forces acting on the system. The weight and frictional force must be taken into account. By equating the forces and solving for the critical angle, we can determine at what angle the system just begins to move.
Explanation:
To determine the critical angle for the system shown, we need to consider the forces acting on the objects. The force pulling m1 downwards is its weight, which is equal to its mass multiplied by the acceleration due to gravity. The force preventing m1 from moving is the frictional force, which is equal to the coefficient of friction multiplied by the normal force. The normal force is the force exerted by the surface perpendicular to it, which is equal to the weight of m2 minus the weight of the hanging part of the rope.
At the critical angle, the force of friction is at its maximum value, which is equal to the coefficient of friction multiplied by the normal force. The force pulling m1 downwards is equal to the force of friction. By equating these forces and solving for the critical angle, we can find the answer.
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Answers
(a) The acceleration of the bird is . The negative sign indicated the opposite direction of motion. (b) The final speed is
.
Given:
Initial speed,
Final speed,
Time,
The acceleration can be computed from the velocities and time. The standard unit of acceleration is a meter per second square.
(a)
The acceleration is computed as:
Hence, the acceleration of the bird is . The negative sign indicated the opposite direction of motion.
(b)
The final speed as the given time can be computed from the first equation of motion. The first equation of motion gives the relation between final and initial speed, acceleration, and time.
The final speed at time 1.2 seconds is equal to:
Hence, the final speed is .
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Answers
Answer:
The 1.5V battery can power the flashlight bulb drawing 0.60A for 83.33 minutes before it is depleted.
Explanation:
To determine how long a 1.5V battery can power a flashlight bulb drawing 0.60A, you can use the formula for calculating the energy (in joules) consumed by an electrical device over time:
Energy (Joules) = Power (Watts) × Time (Seconds)
In this case, the power (P) is given by the product of the voltage (V) and current (I):
Power (Watts) = Voltage (Volts) × Current (Amperes)
So, first, calculate the power consumption of the flashlight bulb:
Power (Watts) = 1.5V × 0.60A = 0.90 Watts
Now, you want to find out how long the battery can power the bulb, so rearrange the energy formula to solve for time:
Time (Seconds) = Energy (Joules) / Power (Watts)
Given that the battery stores 4.5 kJ (kilojoules), which is equivalent to 4,500 joules, and the power consumption is 0.90 watts:
Time (Seconds) = 4,500 J / 0.90 W = 5,000 seconds
Now, to express the time in more practical units, convert seconds to minutes:
Time (Minutes) = 5,000 seconds / 60 seconds/minute ≈ 83.33 minutes
So, the 1.5V battery can power the flashlight bulb drawing 0.60A for approximately 83.33 minutes before it is depleted.
Answers
Answer:
Time taken for 1 swing = 3.81 second
Explanation:
Given:
Time taken for 1 swing = 2.20 Sec
Find:
Time taken for 1 swing , when triple the length(T2)
Computation:
Time taken for 1 swing = 2π[√l/g]
2.20 = 2π[√l/g].......Eq1
Time taken for 1 swing , when triple the length (3L)
Time taken for 1 swing = 2π[√3l/g].......Eq2
Squaring and dividing the eq(1) by (2)
4.84 / T2² = 1 / 3
T2 = 3.81 second
Time taken for 1 swing = 3.81 second