A parsec is a unit of distance used in astrophysics to measure the distance between celestial objects. It is equal to 3.26 light-years or approximately 31 trillion kilometers.
A parsec is a unit of distance used in astrophysics to measure the distance between celestial objects. It is equal to 3.26 light-years or approximately 31 trillion kilometers. The concept of a parsec is based on stellar parallax, which is a method used to calculate distances to nearby stars.
#SPJ12
Explanation:
It is given that,
Mass of moon,
Radius of circle,
The time required for one revolution is 27.3 days, t = 27.3 days
1 day = 86400 seconds
27.3 days = 2358720 seconds
Let v is the speed of moon around the circular path. It is given by :
v = 1017.57 m/s
Let F is the centripetal force acting on the moon. It is given by :
So, the centripetal force that must act on the moon is . The gravitational force that the earth exerts on the moon at that same distance is also equal to . Hence, this is the required solution.
up the hill.
(b) Repeat (a) if the vertical height is still 27.3 m, but the angle is 19.6°. What general conclusion can you make?
(c) The child now slides down the hill on the toboggan. Determine the total work on the child and toboggan during the slide.
Explanation:
(a) To determine the work the child must do on the toboggan to pull it at constant velocity up the hill, we can use the work-energy principle.
1. Calculate the gravitational potential energy of the toboggan at the top of the hill:
- Gravitational potential energy = mass * gravity * height
- Mass of the toboggan = 4.81 kg
- Gravity = 9.8 m/s^2 (approximate value)
- Height = 27.3 m
- Gravitational potential energy = 4.81 kg * 9.8 m/s^2 * 27.3 m
2. Calculate the work done by the child:
- The work done is equal to the change in gravitational potential energy.
- Since the toboggan is pulled at constant velocity, the work done is equal to the negative of the change in gravitational potential energy.
- Work done by the child = - (4.81 kg * 9.8 m/s^2 * 27.3 m)
(b) To repeat part (a) with a different angle, we need to recalculate the gravitational potential energy and work done.
1. Calculate the new height:
- Height = 27.3 m
2. Calculate the new work done:
- Work done by the child = - (4.81 kg * 9.8 m/s^2 * 27.3 m)
General conclusion:
When the vertical height remains the same, but the angle decreases, the work done by the child to pull the toboggan at constant velocity up the hill remains the same. This indicates that the angle of the incline does not affect the amount of work done in this scenario.
(c) When the child slides down the hill on the toboggan, both gravitational potential energy and kinetic energy are involved. The total work done on the child and toboggan during the slide can be calculated as the change in mechanical energy.
1. Calculate the initial gravitational potential energy at the top of the hill:
- Gravitational potential energy = mass * gravity * height
- Mass of the child and toboggan combined = 25.6 kg + 4.81 kg
- Height = 27.3 m
- Gravitational potential energy = (25.6 kg + 4.81 kg) * 9.8 m/s^2 * 27.3 m
2. Calculate the final kinetic energy at the bottom of the hill:
- Kinetic energy = 0.5 * mass * velocity^2
- Mass of the child and toboggan combined = 25.6 kg + 4.81 kg
- Velocity = calculated using the conservation of mechanical energy, assuming no energy losses due to friction or other factors
3. Calculate the total work done:
- Total work done = change in mechanical energy
- Change in mechanical energy = final kinetic energy - initial gravitational potential energy
Therefore, to determine the total work done on the child and toboggan during the slide, we need to calculate the initial gravitational potential energy and the final kinetic energy.
I hope this helps :)
Answer:
Fundamental unit is any unit that is not dependent on other units and other units can be derived from them
Explanation:
Units such as Kilogram, Mass and Time are said to be fundamental units because they are independent.
Differences between Mass and weight;
1. Mass is the measure of the amount of matter in a body while weight is a measure of how the force of gravity acts upon that mass.
2. Mass is a scalar quantity while weight is a vector quantity
It will take a car, 2.59 s to accelerate from 15.2 to 23.5 m/s.
speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
Given, the car has an average acceleration of 3.2 m/s².
To solve this problem, we can use the following kinematic equation:
v = u +at
where:
v is the final velocity (23.5 m/s)
u is the initial velocity (15.2 m/s)
a is the acceleration (3.2 m/s^2)
t is the time
We can rearrange this equation to solve for t:
t = (v -u)/a
substituting the values we have:
t = (23.5 - 15.2 ) / 3.2
t = 2.59375 seconds
Therefore, it will take approximately 2.59 seconds for the car to accelerate from 15.2 m/s to 23.5 m/s with an average acceleration of 3.2 m/s².
Learn more about speed here:
#SPJ6
Hello!
How long will it take a car to accelerate from 15.2 m/s to 23.5 m/s if the car has an average acceleration of 3.2 m/s² ?
We have the following data:
Vf (final velocity) = 23.5 m/s
Vi (initial velocity) = 15.2 m/s
ΔV (speed interval) = Vf - Vi → ΔV = 23.5 - 15.2 → ΔV = 8.3 m/s
ΔT (time interval) = ? (in s)
a (average acceleration) = 3.2 m/s²
Formula:
Solving:
Answer:
The car will take approximately 2.6 seconds to accelerate
____________________________________
I Hope this helps, greetings ... Dexteright02! =)