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3 years ago

9

Which formula can be used to find the x-component of the resultant vector?

1 answer:

inn [45]3 years ago

5 0

If we are dealing with the usual situation where we have a vector in terms of length and an angle, we could find the x-component using the formula:

x = r*cos(theta)

where r is the length of the vector, and theta is the angle.

We might need more information to say what the exact formula would be.

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Balanced forces acting on an object cause the object to accelerate. Please select the best answer from the choices provided T F

Pani-rosa [81]

False
Balanced forces mean that there is no net force acting on the object. therefore, the object will not accelerate.

7 0

2 years ago

How fast is a 90kg man running if his kinetic energy is 720 J?

zheka24 [161]

Answer:
4 m/s
Explanation:
KE=1/2mv^2
720=1/2(90)
720=45v^2
divide by 45
16= v^2
over the square root
4=v
v= 4m/s

6 0

2 years ago

A pitched ball is hit by a batter at a 45degrees angle and just clears the outfield fence, 98m away. Assume that the fence is at

Alex17521 [72]

The range of a projectile can be found directly using:
R = (v²sin2∅) / g
v = √((98 x 9.81)/(sin(90)))
v = 31.0 m/s

8 0

2 years ago

A 20-cm-long, 190 g rod is pivoted at one end. A 19 g ball of clay is stuck on the other end.

MaRussiya [10]

Answer:

0.76 s

Explanation:

We are given that

Length of rod,L=20 cm= $\frac{20}{100}=0.20m$

1 m=100 cm

Mass of rod,M=190 g= $\frac{190}{1000}=0.19kg$

Mass of ball,m=19 g= $\frac{19}{1000}=0.019 kg$

Using 1 kg=1000g

We have to find the period if the rod and clay swing as a pendulum.

Moment of inertia of rod-clay=Moment of inertia of rod+moment of inertia of clay

$I_{rod-clay}=I_{rod}+I_{clay}$

$I_{rod-clay}=\frac{1}{3}ML^2+mL^2$

Substitute the values then we get

$I_[rod-clay}=\frac{1}{3}(0.19)(0.20)^2+(0.019)(0.20)^2$

$I_{rod-clay}=3.29\times 10^{-3} kgm^2$

Now, the center of mass of the combination of the rod and clay is given by

$y=\frac{Md_1+md_2}{M+m}$

Substitute $d_1=\frac{L}{2}$ =Distance between pivot and the center of the rod

$d_2=L=$ The distance between rod and clay

Using the formula

$y=\frac{0.19\times \frac{0.20}{2}+0.019\times 0.20}{0.19+0.019}$

$y=0.1091$ m

Time period of the oscillation of the system of the rod and the clay is given by

$T=2\pi\sqrt{\frac{I_{rod-clay}}{(M+m)yg}}$

g= $9.8m/s^2$

Using the formula

Time period= $2\times 3.14\sqrt{\frac{3.29\times 10^{-3}}{(0.19+0.019)\times 9.8\times 0.1091}}$

Time-period=0.76 s

Hence, the period =0.76 s

8 0

3 years ago

White light is sent through glass prism. Which color is refracted the most?.

lubasha [3.4K]

When white light passes through a prism, violet is the color that is refracted the most.

4 0

2 years ago