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4 years ago

What is the force required to accelerate a 4 kg rock from 3 m/s to 15 m/s in seconds?

Physics

1 answer:

Lera25 [3.4K]4 years ago

4 0

Answer:

16 Newtons

Explanation:

We will use the equation F=ma

First, find the acceleration using the givens.

a=∆v/∆t

a=15-3/3

a=12/3

a=4 m/s^2

Next, plug the acceleration and mass into the equation.

F=ma

F=4kg(4m/s^2)

F=16 Newtons

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find a magnitude of the force such that if the act at right angle there resultant is √10N but if the act of 50° the resultant is

Readme [11.4K]

Explanation:

Let magnitude of the two forces be x and y.

Resultant at right angle R1= √15N) and at

60 degrees be R2= √18N.

Now, R1 = √(x² + y²) = √15,

R2= √(x² + y² +2xycos50) = √18.

So x² + y² = 15,

and x² + y² + 1.29xy = 18,

therefore 1.29xy = 3,

y = 3/1.29x.

y = 2.33/x

Now, x2 + (2.33/x)2 = 15,

x² + 5.45/x² = 15

multiply through by x²

x⁴ + 5.45 = 15x²

x⁴ - 15x2 + 5.45 = 0

Now find the roots of the equation, and later y. The two values of x will correspond to the

magnitudes of the two vectors.

Good luck

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3 years ago

A gas heated to millions of degrees would emit

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A gas heated to millions of degrees would emit mostly x-rays.

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Spesifikasi solder listrik 220 volt/60 watt. solder tersebut dipasang pada tegangan 110 volt. daya ada solder listrik tersebut a

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How do sinkholes occur? Overburden falls into the space left behind when bedrock is dissolved. Bedrock falls under the pressure

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3 years ago

You want to get a Q-taco from stripes so you head 3 miles at 45 degrees S of E. What

Cloud [144]

Trigonometry allows finding the result for the decomposition of the displacement vector is:

x = 2.12 mi

y = -2.12 mi

Displacement is a vector quantity, which has modulus and direction.

The cardinal points are a reference system with respect to which measurements are made, this system is related to the Cartesian system with the East in the positive direction of the x-axis and the North with the positive direction of the y-axis.

In the attached we can see a diagram of the vector and its components, the indicated direction of 45 S of the E, in the Cartesian system where the angles are measured from the positive side of the x-axis in a counterclockwise direction is:

θ = 360 - 45

θ = 315º

Let's use trigonometry to decompose the vector d = 3 mi

cos 315 = $\frac{x}{d}$

sin 315 = $\frac{y}{d}$

x = d cos 315

y = d sin 315

Let's calculate

x = 3 cos 315

y = 3 sin 315

x = 2.12 mi

y = -2.12 mi

The negative sign indicates that the displacement is towards the negative side, that is, towards the South.

In conclusion using trigonometry we can find the result for the decomposition of the displacement vector are:

x = 2.12 mi

y = -2.12 mi

Learn more here: brainly.com/question/1666179

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3 years ago