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4 years ago

How far does a car travel in 90 seconds if it’s traveling 55 m/s? Show equation

1 answer:

8 0

You just said the car is traveling at the speed of 55 m/s. If I understand this correctly, that means the car will cover:

55 meters in the first second,

55 meters in the 2nd second,

55 meters in the 3rd second,

55 meters in the 4th second,

55 meters in the 5th second,

55 meters in the 87th second,

55 meters in the 88th second,

55 meters in the 89th second, and

55 meters in the 90th second.

That's 55 meters 90 times. If you just move these words around a little bit, it says "90 times 55 meters" . . . a pretty simple arithmetic problem.

The equation is . . . <em>Distance = (55 m/s) times (time, in seconds)</em> .

I get <em>4,953 meters</em>. You should check me on this.

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Please Help! Question 2 Unsaved

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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. $m/s^2$

Acceleration is defined as the rate of change of velocity per unit time:

$a=\frac{\Delta v}{\Delta t}$

The change in velocity, $\Delta v$ , is measured in m/s, while the time $\Delta t$ is measured in seconds (s): therefore, the acceleration is measured in

$[a]=\frac{[m/s]}{[s]}=[\frac{m}{s^2}]$

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):

$F=ma$

since the mass is measured in kg and the acceleration in m/s^2, 1 Newton corresponds to

$1 N= 1 kg \frac{m}{s^2}$

6. 1030 N

Given m=1.04 kg (mass of the hockey puck) and $a=987 m/s^2$ (acceleration of the hockey puck), the force needed to accelerate the puck with this acceleration is given by Newton's second law:

$F=ma=(1.04 kg)(987 m/s^2)=1026 N$

which corresponds (approximately) to option C) 1030 N.

7. 520 kg

Given $a=9.71 m/s^2$ (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:

$m=\frac{F}{a}=\frac{5050 N}{9.71 m/s^2}=520 kg$

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

$m=32 kg+3 kg=35 kg$

Therefore, we can find the acceleration of the system by using again Newton's second law:

$a=\frac{F}{m}=\frac{35 N}{35 kg}=1.00 m/s^2$

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.

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3 years ago