An object moving at a constant speed requires 4.0 s to go once around a circle with a diameter of 5.0 m. What is the magnitude o
1 answer:
Answer:
Acceleration, a = 6.17 m/s²
Explanation:
It is given that,
Diameter of the circular track, d = 5 m
Radius of circular track, r = 2.5 m
An object moving at a constant speed requires 4.0 s to go once around a circle. We need to find the instantaneous acceleration of the particle during this time. It is given by :
Where
= angular velocity
or
So, the instantaneous acceleration of the particle during this time is 6.17 m/s². Hence, this is the required solution.
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Answer:
Work can transfer energy between objects and can cause a change in the form of energy.
Explanation:
The best explanation can be done with an example.
Consider an apple of mass m falling from a tree. Initially, the apple is at rest on the tree, at a certain height h above the ground, so it has a form of energy called gravitational potential energy, equal to:
where g is the acceleration due to gravity.
As the apple falls, the force of gravity acts on it, and so this force does work on the apple. As a result, the potential energy of the apple is converted into another form of energy, kinetic energy, which is the energy due to the motion of the apple:
where v is the speed of the apple.
Consider another example: a man pushing a box along the floor with a force F. The man is doing work on the box, and this work is equal to
where d is the displacement of the box. As a result of this work, some of the chemical energy contained in the muscles of the man is transferred into the box and converted to kinetic energy of the box, which is put in motion and it gains a certain speed v. In particular, if there are no frictional forces involved, the work done by the man is equal to the kinetic energy gained by the box.
Answer:
Explanation:
The path length difference = extra distance traveled
The destructive interference condition is:
where m =0,1, 2,3........
So, ←
⇒ λ = 2Δd = 2×10 = 20
2. a cruise ship docked in a port
In fact, inertia is the resistance of an object to any change in its velocity/change of its state of motion. The inertia of an object depends only on the mass of the object: the greater the mass, the larger the inertia. In this case, the object with largest mass among the choices is the cruise ship docked in the port, so this is the object with most inertia.
3. gram
Mass represents the quantity of matter inside an object, and it is measured in grams (g). Actually, the SI units of the mass is the kilogram (kg), a multiple of the gram: 1 kg = 1000 g.
4.
Acceleration is defined as the rate of change of velocity per unit time:
The change in velocity, , is measured in m/s, while the time
is measured in seconds (s): therefore, the acceleration is measured in
5. Newtons
The Newton (N) is the SI unit used for the force. The force is defined as the product between mass (m) and acceleration (a):
since the mass is measured in kg and the acceleration in m/s^2, 1 Newton corresponds to
6. 1030 N
Given m=1.04 kg (mass of the hockey puck) and (acceleration of the hockey puck), the force needed to accelerate the puck with this acceleration is given by Newton's second law:
which corresponds (approximately) to option C) 1030 N.
7. 520 kg
Given (acceleration of the car) and F=5050 N (net force applied on the car), we can find the mass of the car by using again Newton's second law:
8. 1.00 m/s2
In this case, the net force applied by Amber is F=35 N.
The total mass of the brother+wagon is
Therefore, we can find the acceleration of the system by using again Newton's second law:
9. forward
This is because of the inertia: in fact, the car (and the groceries inside it) is initially moving forward. When it stops, the groceries inside the car tends to continue moving forward: due to their inertia, they tends to continue their motion with constant speed, until they are stopped by an external force.
10. The tendency of an object with mass to resist a change in its motion.
Inertia is exactly this: the tendency of an object with mass to resist a change in its motion. This means that an object at rest tends to stay at rest, while an object in motion tends to keep its speed. The inertia of an object depends only on its mass: the larger the mass, the greater the inertia.