Answer:
5.9*10^{-4}m
Explanation:
to find the uncertainty of the displacement it is necessary to compute the uncertainty for the angular frequency:

then, you can calculate the uncertainty in angular displacement:

finally, by using:

Answer
given,
at time t = 10 s moving from left to right speed of particle = 5 m/s
at t = 20 s moving from right to left speed of particle is = 8 m/s
a) acceleration


a = -1.3 m/s²
b) using equation of motion
v = u + at
5 = u - 1.3 × 10
u = 5 + 13
u = 18 m/s
c) v = u + at
0 = 18 - 1.3t

t = 13.85 s
Answer:
Part a)
P = 8.23 kg m/s
Part b)
v = 3.05 m/s
Explanation:
Part a)
momentum of cart 1 is given as


Momentum of cart 2 is given as


Now total momentum of both carts is given as


Part b)
Since two carts are moving towards each other due to mutual attraction force and there is no external force on two carts so here momentum is always conserved
so here we will have



A. The momentum of the boat, given the data is 3240 Kg.m/s
B. The new velocity of the boat is 11.93 m/s
<h3>What is momentum? </h3>
Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
<h3>What is impulse? </h3>
This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
Imulpse = m(v - u)
<h3>How to determine the momentum</h3>
- Mass = 540 Kg
- velocity = 6 m/s
- Momentum = ?
Momentum = mass × velocity
Momentum = 540 × 6
Momentum = 3240 Kg.m/s
<h3>How to determine the new velocity</h3>
- Mass = 540 Kg
- Initial velocity = 6 m/s
- Impulse = 3200 kg·m/s
- Final velocity =?
Imulpse = m(v - u)
3200 = 540 × (v - 6)
Divide both sides by 540
v - 6 = 3200 / 540
v - 6 = 5.93
Collect like terms
v = 5.93 + 6
v = 11.93 m/s
Learn more about momentum:
brainly.com/question/250648
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It has previously been mentioned that there is a relationship between work and mechanical energy change. Whenever work is done upon an object by an external force (or nonconservative force), there will be a change in the total mechanical energy of the object. If only internal forces are doing work (no work done by external forces), then there is no change in the total amount of mechanical energy. The total mechanical energy is said to be conserved. In this part of Lesson 2, we will further explore the quantitative relationship between work and mechanical energy in situations in which there are no external forces doing work.
The quantitative relationship between work and the two forms of mechanical energy is expressed by the following equation:
<span>KEi + PEi + Wext = KEf + PEf</span>
The equation illustrates that the total mechanical energy (KE + PE) of the object is changed as a result of work done by external forces. There are a host of other situations in which the only forces doing work are internal or conservative forces. In such situations, the total mechanical energy of the object is not changed. The external work term cancels from the above equation and mechanical energy is conserved. The previous equation is simplified to the following form:
<span>KEi + PEi = KEf + PEf</span>
In these situations, the sum of the kinetic and potential energy is everywhere the same. As the potential energy is increased due to the stretch/compression of a spring or an increase in its height above the earth, the kinetic energy is decreased due to the object slowing down. As the potential energy is decreased due to the return of a spring to its rest position or a decrease in height above the earth, the kinetic energy is increased due to the object speeding up. We would say that energy is transformed or changes its form from kinetic energy to potential energy (or vice versa); yet the total amount present is conserved - i.e., always the same.