A 55 meter rope is lying on the floor and has has a weight of 4040 N in total. How much work is required to lift up one end of t
1 answer:
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Answer:
(9.64 +- 0.86) m/s^2
Explanation:
The generic motion equation for constant acceleration is
Where
X0: initial position
v0: initial speed
a: acceleration
t: time
If the object has an initial speed of zero, and the frame of reference is set conveniently so that the object initial position is zero, the equation simplifies to:
And the acceleration can be obtained as:
Where x is the distance fallen and a = g.
So, with the data x = (100.0 +- 0.03) mm and t = (144 +- 3) ms we can calculate
For the uncertainty we have to calculate the relative uncertainties first
For the distance (100 * 0.3)/100 = 0.3%
For the time (100 * 3)/144 = 2.08%
For multiplications or divisions the relative uncertainties are added
0.3% + 2.08% + 2.08% = 4.46%
We convert this into absolute uncertainty:
(9.64e-3 * 4.46)/100 = 0.00043 mm/(ms^2)
Finally, this is multiplied by a constant scalar, so:
2 * 0.00043 mm/(ms^2) = 0.00086 mm/(ms^2)
We convert the units
0.86 m/(s^2)
And the measurement is (9.64 +- 0.86) m/s^2
A better method is putting the ball in a ramp instead of a free fall, that way the fall is longer and the effect of time measuring uncertainty is reduced.
Answer:
The time required by the impulse to travel from foot to brain equals 0.019 seconds
Explanation:
For uniform motion the distance, speed, time are related by the equation
In our case since the person is 1.90 meters tall so the nerve impulse will have to cover a distance of 1.90 meters at a speed of 100 m/s.
Hence the time required for the impulse to travel from foot to the brain can be calculated as
False: when reporting speed, only value and units are needed, not the direction
Explanation:
Let's start by reminding the difference between speed and velocity:
- Speed is a scalar quantity which tells "how fast" an object is moving, regardless of its direction of motion.
It can be calculated as: follows:
where :
d is the distance travelled
t is the time interval
Therefore, speed has no direction, so it is written only as a value followed by units: for example, 5 m/s.
- Velocity is a vector quantity given by:
where :
d is the displacement of the object (which is a vector connecting the initial position to the final position of motion)
t is the time interval
Since it is a vector, velocity has both magnitude and direction, therefore it also takes into account the direction of motion of the object. An example of velocity is 5 m/s east, where the direction is also specificied.
Learn more about speed and velocity:
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