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Mamont248 [21]
4 years ago
7

A vector has an x-component

Physics
1 answer:
9966 [12]4 years ago
4 0

Explanation:

The magnitude of a vector v can be found using Pythagorean's theorem.

||v|| = √(vₓ² + vᵧ²)

||v|| = √((-309)² + (187)²)

||v|| ≈ 361

You can find the angle of a vector using trigonometry.

tan θ = vᵧ / vₓ

tan θ = 187 / -309

θ ≈ 149° or θ ≈ 329°

vₓ is negative and vᵧ is positive, so θ must be in the second quadrant.  Therefore, θ ≈ 149°.

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A roller-skate with a mass of 10kg has a force of 12N exerted on it. At what rate did the skate accelerate?
nataly862011 [7]

Answer:

1.2ms⁻²

Explanation:

F = ma

12 = 10*a

12/10 = a

6/5 ms⁻² = a   or 1.2 ms⁻² = a

6 0
3 years ago
How much work is done when a force of 15.0 newtons is used to lift a box 3.0 meters into the air?
denis-greek [22]

Added potential energy = (mass) x (gravity) x (height)

or

Added potential energy = (weight) x (added height)

If you need to lift a 15N box 3m straight up, you have to increase its potential energy by (15 N) x (3 m) = 45 Joules .

Where is that added potential energy supposed to come from ?  You could use an electric winch, a steam engine, a gasoline-powered motor, thousands of hamsters running on little treadmills that are are connected to the main pulley somehow, or your own arm muscles.  But howEVER you do it, you have to provide <em>45 Joules</em> of WORK in order to increase the potential energy of the box by just that much.  

8 0
3 years ago
Read 2 more answers
As a rubber band and moves forward, which of the following is true
Yuki888 [10]

Answer:

It can go back to it's original shape

Explanation:

7 0
3 years ago
You are riding in an elevator that is accelerating upward. Suppose you stand on a scale. The reading on the scale is __________.
olchik [2.2K]

Answer:

greater than your true weight

Explanation:

When going up in an elevator the acceleration of the elevator is added to the acceleration due to gravity. This will increase the reading on the scale.

The expression of the resultant weight will be

N=m(a+g)

where,

m = Mass of the person

g =  Acceleration due to gravity = 9.81 m/s²

a = Acceleration of the elevator.

Hence, the reading on the scale is <u>greater than your true weight.</u>

5 0
3 years ago
Tourists covered 255 km for a 4-hour ride by car and a 7-hour ride by train. what is the speed of the train, if it is 5 km/h gre
LekaFEV [45]
The distance covered by car is equal to (assuming it is moving by uniform motion) the product between the car's speed and the time of the car ride, 4 h:
S_c = v_c t_c
where
v_c is the car's speed
t_c = 4 h is the duration of the car ride

Similarly, the distance covered by train is equal to the product between the train's speed and the duration of the train ride, 7 h:
S_t = v_t t_t

The total distance covered is S=255 km, which is the sum of the distances covered by car and train:
S=255 km = S_c + S_t
which becomes
255 = 4 v_c + 7 v_t (1)
we also know that the train speed is 5 km/h greater than the car's speed:
v_t = 5 + v_c (2)

If we put (2) into (1), we find
255 = 4v_c + 7(5+v_c)
and if we solve it, we find
v_c = 20 km/h
v_t = 25 km/h

So, the car speed is 20 km/h and the train speed is 25 km/h.

4 0
4 years ago
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