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 :)
B. 1.0 meters/seconds
C. 1.5 meters/seconds
D. 2.0 meters/seconds
B. projectile path
C. trajectory
D. path of motion
The path followed by a projectile is called itstrajectory. (C)
In the most common school situation... with gravity but without air resistance, the trajectory of a projectile is the shape of an inverted parabola (nose pointing up). That's the result of constant horizontal velocity and accelerated vertical velocity.
Answer:
Trajectory
Explanation:
Trajectory is the path followed or traced by a projectile.
It follows a parabola shape. That is the shape got in javeline.
The correct answer to the question is : Energy dissipate.
EXPLANATION:
Before coming into any conclusion, first we have to understand law of conservation of energy.
As per law of conservation of energy, energy can neither be created nor be destroyed. It can only change from one form to another form, and the total energy of the universe is always constant.
As per the question, there is energy conversion. One form of any energy may be converted into various types of energy. One particular type of energy is not obtained always.
Hence, the correct answer to the question is energy is dissipated during energy conversion.