You make a solution of salt, water, and sugar. What is the solvent?
1 answer:
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1. A) Sally's displacement is 5m less than her distance travelled.
Explanation:
- Distance is the total distance travelled by Sally, regardless of her direction. In this case, Sally has travelled 10 meters forward and then 5 meters backward, so the distance travelled is
- Displacement, instead, is the difference between the final position and the initial position of Sally, which means that we have to calculate the vector sum of all the movements made by Sally. Assuming 'forward' as positive direction, this means that Sally's displacement will be:
(forward)
Therefore, we can conclude that Sally's displacement (5 m) is 5 m less than her distance travelled (10 m).
2. B) acceleration due to gravity is always the same
According to Newton's second law:
by re-arranging it, we find the acceleration of an object:
(1)
The only force acting on an object in free fall is the gravity, so , where m is the mass of the object and g is the acceleration due to gravity. Substituting into (1):
So, the acceleration of an object in free fall does not depend on the mass of the object, but only on the value of g, which is the same for every object.
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.